An equilateral triangle with side length 4cm is shown in the diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.

An Equilateral Triangle With Side Length 4cm Is Shown In The Diagram, Work Out The Area Of The Triangle.Give

Answers

Answer 1

Answer:

4√3cm^2

Step-by-step explanation:

we know that the area of equilateral triangle is √3/4a^2


Related Questions

Can someone please help me answer these

Answers

Step-by-step explanation:

5: odd

6: even

7: even

That's your answer

Solve the inequality and graph the solution on the line provided.
8r - 9> -17
Pls help me !!!

Answers

Answer:

[tex]\boxed { x > -1}[/tex]

Step-by-step explanation:

Solve the following inequality:

[tex]8x - 9 > - 17[/tex]

-Add [tex]9[/tex] to both sides:

[tex]8x - 9 + 9 > -17 + 9[/tex]

[tex]8x > -8[/tex]

-Divide both sides by [tex]8[/tex]:

[tex]\frac{8x}{8} > \frac{-8}{8}[/tex]

[tex]\boxed { x > -1}[/tex]

-The number line (graphed):

Which expression is equivalent to 25x2 + x

Answers

Answer:

50+x

Step-by-step explanation:

if you simplify, 25*2 is 50.

50+x

The answer to the question is 50x

At Cheng's Bike Rentals, it costs $23 to rent a bike for 4 hours. How many hours of bike use does a customer get per dollar? ​

Answers

Step-by-step explanation:

5.75 dollers cause 23 ÷ by 4 is 5.75

HELP!!
Write a story problem in which you would have to multiply 5 × -1/3 to find the answer.

Answers

Zack has a Fahrenheit thermometer which shows a temperature of 29ºF. He says his temperature is above freezing. Jack has a Celsius thermometer. He disagrees and says that the temperature is below zero on his thermometer. Who is right and what is the temperature in degrees Celsius? SOLUTION

To convert Fahrenheit to Celsius, we first subtract 32. That gives us -3.

Then we multiply by 5/9 to convert to Celsius. When we do this, 3 goes into the denominator and we get -3/9 which is -1/3. Finally we multiply this fraction by 5: 5×-1/3=-5/3=-1.67°C or -1⅔°C.

So Jack was right. The negative value means the temperature is below zero, that is, below freezing. The temperature is 1⅔°C below zero.

Solve.
3(x-4) = -3
How do i slove this

Answers

Answer:

[tex]3(x - 4) = - 3 \\ 3x + 12 = - 3 \\ 3x = - 15 \\ x = - 5[/tex]

Firstly, multiply the number and variable in the perenthesis. Then move the variable on it's own side of the equation. The simplify.

Answer:

You need to do the Distributive Property. This means multiplying the number outside the parenthesis to each number inside.

Step-by-step explanation:

3(x)=3x

3(-4)=-12

3x+-12=-3

then evaluate using inverse operations to get x=3

Define the term PROPORTIONAL RELATIONSHIP.

Answers

Answer:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality". Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.

Proportional relationships are relationships between two variables where their ratios are equivalent.

BJs sells apples in 3.5-pound bags. They sell 45 bags of apples each day. How many pounds of apples does BJs sell in 1 week? BJs sells apples in 3.5-pound bags. They sell 45 bags of apples each day. How many pounds of apples does BJs sell in 1 week? BJs sells apples in 3.5-pound bags. They sell 45 bags of apples each day. How many pounds of apples does BJs sell in 1 week?

Answers

Answer:

1102.5 pounds of apples will be sold in a week.

Step-by-step explanation:

Amount of apples in each bag = 3.5 pounds

If BJs sells 45 bags each day, amount of apples sold = 3.5 × 45

                                                                                        = 157.5 pounds

Number of days in a week = 7

Amount of apples sold in one week = Apples sold in a day × Number of days in a week

Amount of apples sold in 7 days = 157.5 × 7

                                                      = 1102.5 pounds

Therefore, amount of apples sold in a week = 1102.5 pounds

Answer:

1102.5 pounds

Step-by-step explanation:

which of these numbers has the most factors? 6:
17:
25:
36:

Answers

Answer:

36

Step-by-step explanation:

36 is correct answer.

the place value of 2 in 5.32 is​

Answers

Answer: hundredths

Step-by-step explanation:

The second number past the decimal point is the hundredths place

It is in the hundredths place hope this helps

A man drove 13 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place of work. If a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?

Answers

Answer:

13.93 miles

Step-by-step explanation:

From the given information:

we are being told that a drove 13 miles towards east from home.

and make a left turn due north, thus travel 5 miles.

The objective is to find the man's distance from his starting point(i.e. his home) to his place of work.

Let the horizontal base distance be x = adjacent side = 13 miles

Let the vertical distance be y = opposite side = 5 miles

Let the slant distance be z = hypotenuse side =  ??? (unknown)

Therefore, using the pythagoras theorem.

(hypotenuse)² = (opposite)² + (adjacent)²

z² = y² + x²

z² = 5² + 13²

z² = 25 + 169

z² = 194

[tex]z = \sqrt{194}[/tex]

z = 13.93 miles

Which must be present in order for factoring by grouping to apply? - The ratios of the first two terms and the second two terms must be positive. - The ratio of the first two terms must be equivalent to the ratio of the last two terms. - There must be at least three terms. - The first and the last terms must be perfect squares.

Answers

Answer:

For factoring by grouping to apply, the ratio of the first two terms must be equal to the ratio of the last two terms

Step-by-step explanation:

Here, we want to select which of the options must be present in order for factoring by grouping to apply.

The correct answer is that the ratio of the first two terms must be equivalent to the ratio of the last two terms

What this mean is that we must have an equal ratio two times

This practically plays out each time we are to factorize quadratic expressions

For example, in the case of

x^2 -12x + 20

This can be written as;

x^2 - 10x - 2x + 20

which can then be written as x(x-10) -2(x -10)

= (x-2)(x-10)

The first two terms have a ratio of ;

x^2/-10x while the last two terms have a ratio -2x/20

Thus, we have -x/10 and -x/10

We can see here that the ratios of both sets are equivalent

Answer:

The ratio of the first two terms must be equivalent to the ratio of the last two terms

Is 123456789098765432172 is divisible by 18?

Answers

Answer:

123456789098765432172 is NOT divisible by 18. When it is divided out you are left with a decimal! :)

Step-by-step explanation:

What is a good problem to use for an inequality equation? using ax + b > c. Including the solution.

Answers

Answer:

A "solution'' of an inequality is a number which when substituted for the variable makes the inequality a true statement. When we substitute 8 for x, the inequality becomes 8-2 > 5. Thus, x=8 is a solution of the inequality.Step-by-step explanation:

Answer:

the person above me is correct

Shark  boi U~U


While scuba diving, Alex counted the number of sea turtles and jellyfish he saw. After a few minutes, he counted 4 sea
turtles and 12 jellyfish. This ratio remained consistent during the remainder of his dive.
Part A
Using the given ratio, complete the table.
Number of
Number of
Sea Turtles
Jellyfish
1
4
24
14
60

Answers

Answer:

The values which are added to the table are;

Sea turtles = 1, Jellyfish  = 3

Sea turtles = 4, Jellyfish  = 12

Jellyfish = 24, Sea turtles= 8

Sea turtles = 14, Jellyfish  = 42

Jellyfish = 60, Sea turtles= 20

Step-by-step explanation:

The given parameters are;

The ratio of sea turtles to jellyfish = 4:12

Therefore, the ratio of sea turtles to jellyfish = 1:3

Which gives;

When the number of sea turtles = 1, the jellyfish = 1 × 3 = 3 Jellyfishes

When the number of sea turtles = 4, the jellyfish = 4 × 3 = 12 Jellyfishes

When the number of sea jellyfishes = 24, the number of sea turtles = 24/3 = 8 sea turtles

When the number of sea turtles = 14, the jellyfish = 14 × 3 = 42 Jellyfishes

When the number of sea jellyfishes = 60, the number of sea turtles = 60/3 = 20 sea turtles

The values given in the table can be presented as follows;

Number of Sea Turtles    [tex]{}[/tex]                                          Number of Jellyfish

1                                             [tex]{}[/tex]                                           3

4    [tex]{}[/tex]                                                                                   12

8                                             [tex]{}[/tex]                                          24

14                                              [tex]{}[/tex]                                        42

20                                            [tex]{}[/tex]                                         60

2 (x-1 ) = x + 4 find x

Answers

Answer:

the answer it's x=6 i think

i'm in a math test and i need help what is 1 + 1

Answers

21 trust me, my iq is like 21212121212121

What is 1.7x=? When x=5

Answers

Answer:

8.5

Step-by-step explanation:

1.7*5=8.5

Answer:

Step-by-step explanation:

a = answer

1.7x = a

1.7(5) = a

8.5 = a

In the expression 3x2y + 4x – 5x2y, are the terms 3x2y and –5x2y like terms? Explain by providing support for your answer.

Answers

Answer:

yes

Step-by-step explanation:

These are like terms because they  have the same variables and powers. The coefficients do not need to match for it to be considered a like term.

Answer:

Sample Response: Yes, they are like terms because like terms have the same variables raised to the same powers. Both terms contain an x and y variable with the x variable squared.

Step-by-step explanation:

I need help please I don’t understand this

Answers

Answer:

cosB = 21/75, tanB = 72/21

Step-by-step explanation:

Here, we can use pythagoras to figure out all sides. 75^2-72^2 = 21^2. So, we have sides with lengths 21, 72, and 75. We are given that sinB = 72/75. The definition of sin is opposite of hypotenuse. So, the opposite of angle B is side CA and the hypotenuse is BA. This allows us to find that BC is the 21 length side. The cos of an angle is adjacent over hypotenuse. In this case, it is BC/BA which is 21/75. similarly, Tan is opposite over adjacent or 72/21. And we are done. Those are the values. TO remember these, use the acronym:

SOH CAH TOA. S refers to sin and OH refers to opposite over hypotenuse. Similarly C is cos, A is adjacent, and H is hypotenuse, and then T is tan,  o is opposite and A is adjacent.

Plz anwer i give 30 points or 20

Answers

Answer:

x = -6

hope this helps!

Answer:

the answer should be letter B your welcome ;)

Step-by-step explanation:

TIME REMAINING 01:37:16 Absalom states that 0 is a rational number. Which is a correct explanation for this statement? The number 0 is a whole number, which is part of the rational numbers. The number 0 is the center of the number line. The number 0 is a natural number, which is part of the rational numbers. The number 0 cannot be written as a fraction.

Answers

Answer:

The number 0 is a whole number, which is part of the rational numbers, is correct.

Step-by-step explanation:

Absalom states that 0 is a rational number.

As the whole numbers are 0,1,2,3,... which is starting from 0, so the stated number 0 is a part of the whole number.

As all the whole number are rational numbers, so 0 is a rational number

Hence, the explanation (i) which is,

The number 0 is a whole number, which is part of the rational numbers, is correct.

The naturals numbers are 1,2,3,... which starts from 1, so 0 is not a part of the natural number, and the number 0 can be written as a fraction like [tex]0=\frac {0}{1}[/tex].

Hence, statement (ii) The number 0 is a natural number, which is part of the rational numbers as well as the statement (iii) The number 0 cannot be written as a fraction, are wrong.

Answer:

The number 0 is a whole number, which is part of the rational numbers.

Step-by-step explanation:

How many 4-letter “words” can be made using all the letters in BEEP, if the two Es are indistinguishable? Two such “words” to include are BEEP and EBEP.

ANSWER PLS
thank you so much!

Answers

beep and peeb and bee and pee

Answer:

6

Step-by-step explanation:

the one E doesn't count so 3! is 3*2*1 which is 6

PLZ MARK ME BRAINLIEST

y=-3x + 6
What is the slope?
And what would the points be on a graph

Answers

the slope is -3 and the points would start at 6 which is the y intercept. you would plot a point at (0,6) then from there you would go up 3 and left one and continue this pattern. the line goes left because the slope is negative
The slope is -3 the x intercept is (2,0) and the y intercept is (0,6)

Find the value of x so that line m is parallel to line l.

Answers

Answer:  A) 46

Explanation:

The angles shown are same side interior angles.

For line L to be parallel to line M, the same side interior angles must be supplementary, or they must add to 180.

28+(3x+14) = 180

28+3x+14 = 180

3x+42 = 180

3x = 180-42

3x = 138

x = 138/3

x = 46

Step-by-step explanation:

the angles are same side interior angles and because of that they are supplementary and add up to 180°

(3x + 14) + 28 = 180°

3x + 14 + 28 = 180

3x + 42=180

3x=180-42

3x= 138

divide by 3

x = 46

¡¡ANSWER MY QUESTION FIRST¡¡

Can you help me with these questions, please?

Answers

Answer:

∠5 = 70°

∠8 = 130°

Step-by-step explanation:

Since ∠5 and ∠1 are equal they will both equal 70°

Since ∠6 and ∠8 are also equal they will both equal 130°

Hope this helps

Plz mark brainliest

How can you find the reciprocal of 0.8? Select all that apply.

Answers

Answer:

TAKEN FROM GOOGLE

Step-by-step explanation:

The reciprocal of a number is the number that the initial number can be multiplied by to get the product 1. Therefore, the reciprocal of .8 is 1.25, since those two factors when multiplied together created a product of 1, or 1.000. The easiest way to find a reciprocal is to write the initial number as a fraction ( in this case, 8/10) and then "flip it" (making it 10/8) and simplifying. (10/8 = 1 and 1/4, or 1.25)

Find x. Give reasons to justify your solution. b Lines AB and CD are straight lines.

Answers

Answer:

x = 28

Step-by-step explanation:

Given that lines AB and CD are straight lines that intersects at O, it follows that the pair of opposite vertical angles formed are congruent.

Thus,

<AOD = <BOC

<AOD = 152°

<BOC = 3x + x + (x + 12) (angle addition postulate)

<BOC = 5x + 12

Since <AOD = <BOC, therefore,

152° = 5x + 12 (substitution)

152 - 12 = 5x (subtraction property of equality)

140 = 5x

140/5 = x (division property of equality)

28 = x

x = 28

If a point P(x,y) is the equidistant from the points A(2,3) and B(6,1), find the equation of locus of moving point P.​



please answer it and I will mark your answer as the brainliest..please..!!!

Answers

Answer:

[tex]y=2x-6[/tex]

Step-by-step explanation:

A locus can be defined as a curve or figure formed by all the points satisfying a particular equation of the relation between coordinates.

The condition stated in the question is such that a generic (x,y) point of the curve is equidistant from the points A(2,3) and B(6,1).

The distance d1 from (x,y) to (2,3) is:

[tex]d_1=\sqrt{(x-2)^2+(y-3)^2}[/tex]

The distance d2 from (x,y) to (6,1) is:

[tex]d_2=\sqrt{(x-6)^2+(y-1)^2}[/tex]

Since d1=d2:

[tex]\sqrt{(x-2)^2+(y-3)^2}=\sqrt{(x-6)^2+(y-1)^2}[/tex]

Squaring both sides:

[tex](x-2)^2+(y-3)^2=(x-6)^2+(y-1)^2[/tex]

Operating:

[tex]x^2-4x+4+y^2-6y+9=x^2-12x+36+y^2-2y+1[/tex]

Simplifying all the squares:

[tex]-4x+4x+4-6y+9=-12x+36-2y+1[/tex]

Moving the variables to the left side and the numbers to the right side:

[tex]-4x+12x-6y+2y=36+1-4-9[/tex]

Simplifying:

[tex]8x-4y=24[/tex]

Dividing by 4:

[tex]2x-y=6[/tex]

Or, equivalently:

[tex]\boxed{y=2x-6}[/tex]

1. Which set of numbers includes the square root of 42?

a) irrational number
b) integers
c) rational numbers
d) whole numbers

2. What is the name of this set?
{ … -3, -2, -1, 0, 1, 2 3, …}
a) real numbers
b) integers
c) rational numbers
d) whole numbers

3. Which set does not include negative numbers?
a) real numbers
b) integers
c) rational numbers
d) whole numbers

4. Which of these equals an integer?
a) 12 ¸ 5
b) -12 ¸ 5
c) -15 ¸ 4
d) -15 ¸ 5

5. Which of these is closest to 150?

a) 12.2
b) 12.4
c) 14.2
d) 15

Answers

Answer:

C,B,D,A,D

Step-by-step explanation:

Other Questions
Can yall please help! I really need help 100 pts Jacob is a scuba diver and is currently -15 meters below sea level. He continues to dive 7 meters down then swims up 11 meters. At what sea level does Jacob end at? Nedd help for this one What does it mean that people feared the Cold War would turn "hot"?A Tensions might erupt into warfare between the United States and the Soviet Union.B The Soviet Union might change its government.C) The climate of the Soviet Union, typically cold, would become hot.D) The Soviet Union might spread its government and economic system to the U.S. QUESTION OF THE STORY1. DESCRIBE THE JACKET FROM THE STORY?2. WHY THE JACKET WAS SO IMPORTANT?3. WHO WIN THE JACKET FIRST?4. HOW MANY BROTHERS AND SISTERS DID THE NARRATOR HAVE?5. WHO RAISED THE YOUNG GIRL?6. WHY THE JACKET WAS SO IMPORTANT TO THE NARRATOR?7. WHO WAS TALKING ABOUT THE NARRATOR AT SCHOOL AND WHY?8. WHAT HAPPENED THAT THE NARRATOR COULD NOT PARTICIPATE INSPORTS?9. HOW THEY CALLED THE NARRATOR AT SCHOOL "NICKNAME"?10. WHO WAS THE HISTORY AND MATH TEACHER?11. WHO WAS MARTHA?12. WHY MARTHA WAS SAD?13. WHAT HAPPENED AT THE PRINCIPAL OFFICE?14. HOW MUCH COST THE JACKET AND WHO CHANGE THE POLICY OF THEJACKET?15. WHAT GRANDPA SAID TO MARTHA ABOUT THE JACKET?16. WHAT HAPPENED AT THE END OF THE STORY?17. NAME THE MAIN CHARACTER18. NAME THE ANTAGONIST19. NAME THE TYPES OF CONFLICT20. NAME THE AUTHOR (WILL GIVE BRAINLIEST) What are some ways to stay focused when doing online schooling? Consider the rule y = 5x + 7.a. How many tiles are in Figure 0?b. Which figure has 37 tiles?c. In the equation y = mx + b, what do the letters m and b represent? A Special EveningI was a server at a fancy restaurant for about four years. I was pretty good at waiting tables, so I made good tips. People didn't take much notice of me as I refilled drinks or cleared empty plates. They just kept talking. Other times, a guest asked me to help make his or her loved one feel special. I always enjoyed helping people celebrate important occasions. One evening, a young man brought his date to the restaurant. He treated her wellheld the door open for her, slid her chair out, and pushed her chair in. I couldn't tell if it was their first date or not. The man seemed very anxious, but the woman seemed at ease. When the woman left the table, the man frantically waved for my attention. I rushed over and asked if he needed something. "I'm going to propose to my girlfriend. I need your help. When you bring the dessert, put this ring on top of the cake. Then, I will get down on one knee. Please make sure that nothing happens to the ring. It cost a fortune," the man said. "Sure thing, man. I'll take good care of the ring. Good luck," I said as I put it in my pocket. I was happy when I saw the couple laughing and holding hands. I was pretty sure that the young woman would accept the proposal. Finally, it was time to bring the dessert. Eagerly, I went to the kitchen and placed the diamond ring on top of a slice of cheesecake. Then, I had a brilliant idea of how to make the presentation even more special. I went to the storage room to get a candle and a lighter. When I returned to the kitchen, the cheesecake with the diamond ring was gone. Just as I reached the front of the restaurant to see if another server had taken it, I heard, "Yes! Robert, I will marry you!" Anxiously, I looked to see who had accepted the marriage proposal. I saw a happy-looking middle-aged woman admiring the diamond ring on her finger and a stunned-looking middle-aged man with his mouth hanging open in disbelief. Then, I noticed the guest who had given me the ring. He looked horrified. His face was pale and his eyes were bulging from their sockets. I glanced at his girlfriend. She was smiling and watching the woman with the diamond ring. She had no idea that the ring had been meant for her. I wasn't quite sure what to do. I suppose that my flight or fight response kicked in. I untied my apron, ran out the door, and never went back.A. The narrator tells the story without becoming involved.B. The narrator shows that the events personally affect him.C. The narrator makes excuses about his lack of courage. You're eating a bowl offruit but you're starting tofeel full. Angles R and S are complementary. The measure of angle R equals 35 degrees.What is the measure of angle S ? Solve the system of equations below. 3/+4,/9-12 = 17 2v1 +3,11+52 = 18 -V5-VT-12 = -6 Alex wrote checks on Tuesday for $35 and $40. He also made a deposit in his checking account of $170. Find the overall change in the amount in his checking account. What are graphs? Give an example of a graph that would be useful to you in your everyday life NEED A MATH TUTOR ASAP !!!tim has $20 in a savings account. The interest rate is 10% per year and is not compounded. How much will he have in 1 year ? Les touristes vont ____ htel. A) de l Ils parlent _____ hpital. B) l Nous rentrons ____ cinma. C) du 19,792,000,000 in scientific notation will have how many significant figures Consider the subtitle of the article: The inspiring true story of Malala Yousafzai's crusade for girls' education. Context clues reveal crusade means The following information was taken from the accounts of Green Market, a small grocery store, at December 31, Year 2. The accounts are listed in alphabetical order, and all have normal balances. Accounts payable $800 Accounts receivable 2,250 Advertising expense 600 Cash 1,850 Common stock 2,000 Cost of goods sold 2,950 Interest expense 120 Merchandise inventory 1,250 Prepaid rent 720 Retained earnings, 1/1/Year 2 2,610 Sales revenue 5,600 Salaries expense 960 Rent expense 510 Gain on sale of land 200 Required: Prepare an income statement for the year using the single-step and multistep approach. When did former slaves get the right to vote On a map of Texas, one inch represents 75 miles. The distance betweenSan Antonio and Houston is 2.7 inches on the map. What is the distancefrom San Antonio to Houston according to the map?A 175 milesB. 202.5 milesC. 225.5 milesD. 270 miles