Answer:
Step-by-step explanation:
Use Pythagoras’ theorem
square of hypotenuse = sum of squares of two other sides
let the missing side be d
30^2 = 20^2 + d^2
600 = 400 + d^2
d^2 = 200
d = square root of 200
d = 14.142 cm
Answer:
22.36
Step-by-step explanation:
For this question we need to utilise Pythagoras theorem. Pythagoras theorem states that a² + b² = c² so the sum of the leg's squared will equal the hypotenuse squared. In this question we are given the hypotenuse so we will have to rearrange the equation to find the value of the leg,
→ a² + b² = c²
⇒ Substitute in the values
→ 20² + b² = 30²
⇒ Simplify
→ 400 + b² = 900
⇒ Minus 400 from both sides to isolate b²
→ b² = 500
⇒ Square root both sides to find the value of the leg
→ b = 22.360679775 cm
The length of the missing leg is 22.36 cm to nearest hundredth considering one leg is 20 cm and the hypotenuse is 30 cm.
One root of is x = –10. What are all the roots of the function? Use the Remainder Theorem.
Answer:
x=-10, -5, 5
Hope this helps
Answer:
its D x = –10, x = –5, or x = 5
Step-by-step explanation:
Rational or Irrational?
4 x 10^-9
(Four times ten to the negative ninth power)
Answer:
The answer is irrational
Step-by-step explanation:
Which expression is equivalent to 12 × 3 × 5?
A) (5 + 3) × 12
B) 5 × 3 × 12
C) (5 + 3) × (3 + 12)
D) (12 × 5) + (3 × 5)
Answer:
B
Step-by-step explanation:
anyone have a clue ?❤️
Answer:
The unknown side (x) is 11.9 ft.
Step-by-step explanation:
x= 34.6 - 5.2 - 11.1 - 6.4 = 11.9
x = 11.9
Answer:
x=11.9ft
Step-by-step explanation:
[tex]5.2ft + 6.4ft + 11.1ft + xft = 34.6ft \\ |the \:addition \: of \: all \: the \: length \:would \: give \: us \: the \: the \: perimeter \: 34.6ft | \\ \\ 22.7ft + xft = 34.6ft \\ |collect \: like \: terms| \\ xft = 34.6ft - 22.7ft \\ xft = 11.9ft |final \: answer| [/tex]
Simplify the expression.
[tex]\sqrt{3} - 2/\sqrt{12}[/tex]
Is a fraction on top.
Answer:
**Look at the picture**
If Greg Mills is paid 12¢ per unit and produces 170, 165, 149, 157, and 181 units in the 5 days of one week, what is his pay?
get the total units made:
170 + 165 + 149 + 157 + 181 = 822 units.
Multiply by pay:
822 x 0.12 = $98.64
What is the difference? StartFraction x + 5 Over x + 2 EndFraction minus StartFraction x + 1 Over x squared + 2 x EndFraction StartFraction x squared + 4 x minus 1 Over x (x + 2) EndFraction StartFraction x squared + 4 x + 1 Over x (x + 2) EndFraction StartFraction 4 Over negative 1 (x squared + x minus 2) EndFraction StartFraction x squared + 6 x + 1 Over x (x + 2) EndFraction
Answer:
b
Step-by-step explanation:
The difference between the two given fractions is [tex]\frac{x^2 + 4x - 1}{x^2 + 2x}[/tex].
The given parameters:
[tex]\frac{x + 5}{x + 2} - \frac{x+ 1}{x^2 + 2x}[/tex]
The difference between the two fractions is calculated as follows;
[tex]\frac{x + 5}{x + 2} - \frac{x+ 1}{x^2 + 2x}\\\\= \frac{x + 5}{x + 2} - \frac{x+ 1}{x(x + 2)}\\\\[/tex]
The lowest common multiple (L.C.M) of the two denominators = x(x + 2)
[tex]= \frac{x(x + 5) - (x + 1)}{x(x + 2)} \\\\= \frac{x^2 + 5x - x - 1}{x^2 + 2x} \\\\= \frac{x^2 + 4x - 1}{x^2 + 2x}[/tex]
Thus, the difference between the two given fractions is [tex]\frac{x^2 + 4x - 1}{x^2 + 2x}[/tex].
Learn more about addition of fractions here: https://brainly.com/question/11562149
in the diagram below DE and EF are tangent to O what is the measure of DF
The measure of DF is 100°.
What are the 5 rules of congruence?Two triangles are congruent if they satisfy the 5 conditions of congruence. They are side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS) and right angle-hypotenuse-side (RHS).
What is the rule of congruent?Congruence of triangles: Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.
Learn more about Congruence here: brainly.com/question/1675117
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You deposit $2500 in a bank account that pays 5% annual interest. Find the balance
after 4 years if the interest is compounded monthly. Round to the nearest cent.
Answer:
500
Step-by-step explanation:
here
principal(p)=2500
rate (R)=5%
Time (T)=4 years
now,
Intrest (I)=(P×T×R)/100
(2500×5×4)/100
=Rs 500
After 4 years the investment of $2500 will be $3051.02.
What is compounded interest?Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
Compound interest is calculated by multiplying the initial principal amount (P) by one plus the annual interest rate (R) raised to the number of compound periods (nt) minus one. That means, CI = P[(1 + R)ⁿˣ – 1] Here,
P = Initial amount
R = Annual rate of interest as a percentage
n = Number of compounding periods in a given time
Given, 2500 dollars is invested at an interest rate of 5% compounded monthly.
From the above formula of compound interest
Total amount A = P(1 + r/n)^nt
In our case
p = 2500
r = 5%
t = 4 years
Thus,
Total amount = 2500(1 + 5/12)^12 * 4
Total amount = 3051.02
therefore, this investment will be worth $3051.02 after 4 years.
Learn more about compounded interest here:
https://brainly.com/question/14295570
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Use the grouping method to factor this polynomial completely.
2x3 + 6x2 + 5x + 15.
Answer:
(x+3)(2x^2+5)
Step-by-step explanation:
Answer:
2x³ + 6x² + 5x + 15=(x+3)(2x²+5)
Step-by-step explanation:
2x³ + 6x² + 5x + 15=
=(2x³ + 5x) +(6x²+ 15)
=x(2x²+5)+3(2x²+5)
=(x+3)(2x²+5)
Simplify: 5 - 2(3x – 4) + X
Answer:
4(x+3) -3 (x+2)
Step-by-step explanation: I hope that helps :)
Answer:
13 - 5x
Step-by-step explanation:
5-2(3x-4)+x
Final result:
13 - 5x
Step by step solution:
Step 1:
Equation at the end of step 1:
(5 - 2 • (3x - 4)) + x
Step 2:
Final result :
13 - 5x
Please help me I need help with this assignment geometry math 13-16 and it is hard for me I been struggling with it and I am still so I would appreciate if you help me and it is due by today at 7:00pm so please answer it and I will mark you Brainly
Answer:
Hi there!
The following answers are:
14: to determine whether or not the slopes are perpendicular to one another is the negative reciprocal. In other words, if the first slope is m, the perpendicular slope is -1/m
to determine whether or not the slopes are parallel, the slopes are the same. In other words, if the first slope is m, then the parallel slope is m
So in other words: 1. perpendicular 2. neither 3. perpendicular 4. parallel
15: There are four types of rigid motions that we will consider: translation , rotation, reflection, and glide reflection.
16: Dilation is the transformation that changes the size of a figure.
Answer:
13. It says 13c so I am thinking there was 13a and 13b so I can't really answer that.
14.
1. perpendicular.
2.parallel.
3. neither.
4. parallel.
15. rotation, reflection, glide reflection and translation.
16. dilation.
Step-by-step explanation:
#14 you just need to use numbers to figure it out. for example 1. lets say the starting point is (0,2) m=3 you will go 3 squares up and one square right and end up at (5,1) but where for m=-1/3 you will go 1 square down and three squares right. You can do this until you have lines and see from the image you get whether it is perpendicular, parallel or neither.
#15 and 16 this are what I think are the answers but try checking it out online too. You might find the answers you are looking for there.
los angeles is 1,744 miles from chicago; chicago is 714 miles from new york; and new york is 2,451 miles from los angeles. The tree cities form a triangle. Find the measure of the angle in the triangle whose vertex represents chicago.
7°
121°
3°
170°
Answer:
170°
Step-by-step explanation:
Let a be the distance from Los Angeles to Chicago = 1744 miles, b be the distance from Chicago to New York = 714 miles and c be the distance from New York to Los Angeles = 2451 miles.
A is the angle opposite to side a, B is the angle opposite to side b and C is the angle opposite to side c.
Therefore the angle at Chicago is C.
From cosine rule:
c² = a² + b² - 2ab × cos (C)
2ab × cos (C) = a² + b² - c²
cos (C) = (a² + b² - c²) / 2ab
Substituting:
cos (C) = (1744² + 714² - 2451²) / 2×1744×741
cos (C) = -0.986
C = cos⁻¹ (- 0.986) = 170°
4. Based on your answer from #3, how many solutions would the Quadratic
have? *
2x2 + 7x – 3 = 0
Answer:
2 solutions
Step-by-step explanation:
Well to find out how many solutions it has, you have to find the discriminant:
b^2 - 4ac
a = 2
b = 7
c = -3
Discriminant = 49 + 24 = 73
Discriminant is > 0 so there are 2 solutions
Answer:
2 solutions
Step-by-step explanation:
the quadratic would have 2 solutions .
One of the five cards is chosen at random. Find the probability of choosing a card with a number that
is a six. Write answer as a simplified fraction number, No decimals or percents:
Answer:
Zero.Step-by-step explanation:
Well, assuming that the cards are numbered 1, 2, 3, 4 and 5, then the probability of getting 6 is zero, because there's no card with such number.
Remember that a simple probability is a ratio between the possible events and the total number of outcomes. In this case, the total number of outcomes is 5 and the events are zero, because there's no card with 6.
David has twice as many cousins as Becky.
Becky has twice as many cousins as Nishat.
Nishat has 6 cousins.
How many cousins does David have?
Answer:
24 cugini
Step-by-step explanation:
6x2=12
12x2=24
Nick, Joey, Beki, and Carmen ran in the town's annual road race. Each person had a different jersey number {2, 13, 20, and 34} and finished in a different amount of time {10 minutes, 11 minutes, 12 minutes, and 14 minutes}. Use the information and deductive reasoning to determine each person's jersey number and race time.
•the runner with the lowest jersey number also ran the slowest time
• Nick's jersey number is 18 greater than Carmen's.
•Of the four runners, a man had the fastest finishing time.
• The sum of the digits on Beki's jersey number is 7
•Nick finished exactly 2 minutes faster than Beki.
Answer:
Beki's jersey number is 34. She last 12 minutes
Nick's jersey number is 20. He last 10 minutes
Carmen's jersey number is 2. She last 14 minutes
Joey's jersey number is 13. He last 11 minutes
Step-by-step explanation:
• The sum of the digits on Beki's jersey number is 7. Therefore, Beki's number is necessarily 34 (3+4 = 7)
• Nick's jersey number is 18 greater than Carmen's. Therefore, Nick's jersey number is 20 and Carmen's jersey number is 2 (2 + 18 = 20). If Carmen's jersey number was 13, 13+18 = 31 which is not included in the options. If it was 20, 20+18 = 38 is not included either.
• From previous items, Joey's jersey number is 13
• The runner with the lowest jersey number also ran the slowest time. Therefore, Carmen last 14 minutes
• Nick finished exactly 2 minutes faster than Beki. Therefore, Nick's time is 10 minutes and Beki's time is 12 minutes, because from the remaining options (10, 11 and 12) this is the only combination 2 minutes apart.
• From previous items, Joey's time is 11 minutes
Which fraction is equivalent to g?
24
4
o
40
Answer:
24
Step-by-step explanation:
I took the test
HELP!
The pattern 9, 18, 36, 72, ________ follows the rule multiply by 2. What is the next number in the pattern?
A. 144
B. 148
C. 216
D. 244
Answer:
144
Step-by-step explanation:
................
Answer:
A. 144
Step-by-step explanation:
as the question says, the pattern is going by multiple of two. 9 * 2 is 18, 18 * 2 is 36, 36 * 2 is 72, 72 * 2 must be 144.
What is the mean for the data set? (11, 10, 9, 12, 10). A-9 B-12 C-11 D- 10.4
Answer:
10.4
Step-by-step explanation:
If you add all of these up and divide by 5 you get 10.4 which is the average value.
Answer:
D
Step-by-step explanation:
(11+10+9+12+10)/5= 10.4
A jacket is marked down 55% off the original price. If the original price was $160.00, what is the sale price
of the jacket before sales tax?
Answer:
72
Step-by-step explanation:
because when you do 55% out of 160 it will give you 88 which you subtract from 160 and then you will end up with 72
aflati masurile a doua unghiuri complementare stiind ca masura unuia dintre ele este cu 18° mai mica decat triplul masurii celuilalt
Answer:
The angle is "27 and 63".
Step-by-step explanation:
Let A and B are two angles, in which A is " [tex]\frac{1}{2}[/tex] " complementary angles and B be is another complementary angle.
Condition of complementary angle :
[tex]A+B =90 ......(i)[/tex]
Solution:
[tex]\ A = \ 3B - 18 \\\\ \ put \ the \ value \ of \ A \ in \ equation.....(i) \\\\ \ Equation: \\ \\\Rightarrow \ A\ +\ B \ =\ 90 \\\\\Rightarrow \ 3B\ -\ 18 \ + \ B \ = \ 90 \\\\\Rightarrow \ 4B \ = \ 90 +18 \\\\\Rightarrow \ 4B = 108 \\\\ \Rightarrow B = \frac{108}{4} \\\\ \Rightarrow B \ = \ 27\\[/tex]
[tex]\ put \ the \ value \ of \ B \ in \ equation (i).\\\\ \ Equation: \\\\\Rightarrow A+B=90\\\\\Rightarrow A+27=90\\\\\Rightarrow A=90-27\\\\\Rightarrow A= 63[/tex]
Which expression is equivalent to log29x®?
log29+3log2
log2X+3log,
3log2x-log29
3log,9-log2x
A bag contains 5 red marbles, 3 white marbles, and 4 blue marbles. what is the probability of randomly selecting a red marble, setting is aside, and then randomly selecting another red marble from the bag? Hint: It's not 5/12 :(
Answer:
2/12
Step-by-step explanation:
Use the following formula as a guide for your
calculation: SA = 2B + hP.
Edge lengths are given in units. Find the surface area of each prism in square units.
А.
Solution:
Answer:
340 units^2
Step-by-step explanation:
B=(8)(5)=40
40*2=80
h=10 and P=2(5)+2(8)=10+16=26
80+(10)(26)=80+260=340
Therefore, 340 units^2
I hope this helped and have a good rest of your day!
Real World Example functions
smart phone sales since 1990: Linear, Exponential or Quadratic
Throwing a baseball in the air: Linear, Exponential or Quadratic
Population of a colony of feral cats: Linear, Exponential or Quadratic
Grade on a test compared to hours of studying: Linear, Exponential or Quadratic
half life of a pesticide: Linear, Exponential or Quadratic
Driving at a constant rate of speed: Linear, Exponential or Quadratic
Answer:
Smart phone sales since 1990: exponential
Throwing a baseball in the air: quadratic
Population of a colony of feral cats: exponential
Grade on a test compared to hours of studying: linear
Half of a pesticide: exponential
Driving at a constant rate of speed: linear
Please answer CORRECTLY !!!!!!!! WILL MARK BRAINLIEST !!!!!!!!!!
Step-by-step explanation:
6x + y = 4x + 11y
6x-4x=11y - y
-2x=10y
Answer = -2x=10y
Write the standard equation of a circle with center (4, 1) and radius 5.
Answer:
(x−4)^2+(y−1)^2=25
Step-by-step explanation:
Simplyfi. (9g^10p^8)^2
givin brainlest to first correct
Answer:
[tex] = 9 {g}^{20} {p}^{16}
[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Katy keeps chickens. For every one white egg she gets five brown eggs.
There are 30 eggs altogether
a)How many white eggs are there?
b)How many brown eggs are there?