Step-by-step explanation:
(A) (In the fig. triangle represented by small triangle with angle of elevation 30° and height h1 ) ( Using this explanation since the figure is not marked)
[tex]tan30 = \frac{h1}{40} [/tex]
[tex]h1 = \frac{40}{\sqrt{3} } m[/tex]
(B) (In the fig. triangle represented by small triangle with angle of depression 58° and height h2 )
[tex]tan58 = \frac{h2}{40} [/tex]
[tex]h2 = 64m[/tex]
(C)
[tex]Height \: of \: Building \: A = h2 = 64m[/tex]
[tex]Height \: of \: Building \: B = h1+h2 = (64 + \frac{40}{ \sqrt{3} } )= 87m[/tex]
Andrew loves skiing-- he just hates the ski lift. To make matters worse, the ski lift has been acting up today. Andrew is using the GPS on his phone to track the ski lift's progress as it travels up the mountain. It moves at a steady rate of 400 feet per minute until it stops suddenly. Andrew calls his friends to tell them he is stuck. They talk on the phone for 10 minutes until finally the ski lift begins moving again. What is the independent quantity? What is the dependent quantity?
Answer:
1.) Time in minutes
2.) Distance in feet.
Step-by-step explanation:
What is the independent quantity?
Independent quantity are the domain. In this question since the rate is 400 feet per minute, this can be refer to slope.
The independent quantity is therefore the time in minutes.
What is the dependent quantity?
Dependent quantity depends on independent quantity. Since time is the independent quantity, distance in feet will be the dependent quantity.
Please help me understand this
Answer:
[tex]x=11[/tex]
Step-by-step explanation:
So we have the equation:
[tex]\frac{-2-2x}{3} =-8[/tex]
First, multiply both sides by 3. This cancels out the denominator:
[tex]3(\frac{-2-2x}{3} )=3(-8)[/tex]
The left side cancels. Multiply the right:
[tex](-2-2x)=-24[/tex]
Add 2 to both sides. The 2s on the left cancel:
[tex](-2-2x)+2=(-24)+2\\-2x=-22[/tex]
Divide both sides by -2. The -2 on the left cancel.
[tex](-2x)/-2=(-22)/-2\\x=11[/tex]
Therefore, the answer is 11.
Answer:
x = 11
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:
*(-2-2*x)/(3)-(-8)=0
Simplify:
*-2 - 2x / 3
Pull out like factors:
*-2 - 2x = -2 • (x + 1)
Now It should look like this:
-2 • (x + 1) / 3 - (-8) = 0
Rewrite the whole as a equivalent fraction using 3 as the denominator:
*-8 = -8 / 1 = -8 • 3 / 3
Add the two equivalent fractions which now have a common denominator
-Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
*-2 • (x+1) - (-8 • 3) / 3 = 22 - 2x / 3
Pull out like factors:
*22 - 2x = -2 • (x - 11)
Now you should have this:
*-2 • (x - 11) / 3 = 0
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
-Now, to get rid of the denominator, multiply both sides of the equation by the denominator.
*-2•(x-11) / 3 • 3 = 0 • 3
-Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
Now you should have this:
*-2 • (x-11) = 0
Now Solve:
x-11 = 0
-Add 11 to both sides of the equation:
x = 11
What is the length of the diagonal of a square of side 8cm, after getting your answer, put it in one decimal place. 13.1cm 12cm 11.4cm 11.3cm
Answer:
11.3 cm
Step-by-step explanation:
The diagonal d divides the square into 2 right triangles with legs 8 and hypotenuse the diagonal d.
Using Pythagoras' identity in one of the right triangles, then
d² = 8² + 8² = 64 + 64 = 128 ( take square root of both sides )
d = [tex]\sqrt{128}[/tex] ≈ 11.3 cm
Answer:
[tex]\huge\boxed{c = 11.3 cm}[/tex]
Step-by-step explanation:
Using Pythagorean Theorem:
[tex]c^2 = a^2 + b^2[/tex]
Where c is the length of diagonal and a and b are the sides of the square
[Remember that all sides of the square are equal]
=> [tex]c^2 = 8^2 + 8^2[/tex]
=> [tex]c^2 = 64+64\\[/tex]
=> [tex]c^2 = 128[/tex]
Taking sqrt on both sides
=> c = 11.3 cm
Evaluate 19 - (-13). The solution is.
Answer:
32
Step-by-step explanation:
19-(-13)
=19+13 (after removing the brackets, the minus sign becomes positive)
=32
Answer:
32
Step-by-step explanation:
if there are two negative signs next to each other (they willl usually be separated by parenthesis) they would become an addition sign, so this question would actually be 19+13
Which of the following is an equivalent expression of 76543−4? Question 1 options: 176543−4 765434 1765434 765436
Answer:
1/76543⁴
Step-by-step explanation:
76543¯⁴
The above expression can be simplified as follow:
76543¯⁴
Recall:
a¯ⁿ = 1/aⁿ
Therefore,
76543¯⁴ = 1/ 76543⁴
Thus, 76543¯⁴ is equivalent to 1/76543⁴.
Answer:
Answer:
1/76543⁴
Step-by-step explanation:
76543¯⁴
The above expression can be simplified as follow:
76543¯⁴
Recall:
a¯ⁿ = 1/aⁿ
Therefore,
76543¯⁴ = 1/ 76543⁴
Thus, 76543¯⁴ is equivalent to 1/76543⁴.
Step-by-step explanation:
What are the roots of the graph below?
Answer:
(1, 0) and (-2, 0)
-2, 1, 2
Hope this helps anyone who needs it! :)
An ice cream shop is testing some new flavors of ice cream. They invent 252525 new flavors for customers to try, and throw out the 131313 least popular flavors. The shop makes 808080 cartons of each of the remaining flavors. It takes 222 cartons to get one liter (\text{L})(L)left parenthesis, start text, L, end text, right parenthesis of ice cream. How much total ice cream is in the cartons?
Answer:
480litres total ice creamStep-by-step explanation:
Total number of ice cream invented for customers to try = 25 new flavours
Amount of least popular flavors thrown out = 13 flavors
Remaining flavor nit thrown out = Total ice cream invented - amount thrown out = 25 - 13
= 12 flavors
The remaining number flavors that was produced is 12 flavors.
If 80 cartons of each of the remaining flavor was made, the total amount of cartons made = 12* 80 = 960 cartons.
Since 2 cartons contains 1 litre
960 cartons will contains (960*1/2) litres
Hence 960 cartons will contain 480litres of the ice cream.
This shows that there are total of 480 litres of ice cream in the cartons
PLEASE SOLVE WILL GIVE BRAINLIST
Answer:
School to library = 875 feet
School to train station = 1000 feet
School to town hall = 1125 feet
Step-by-step explanation:
School to library: 3.5 cm
Since 2 cm is equal to 500 feet, then 1 cm is equal to 250 feet.
3.5 cm = 250 (3.5) = 875 feet.
School to train station: 4 cm
4cm = 4 (250) = 1000 feet.
School to town hall: 4.5 cm
4.5 cm = 4.5 (250) = 1125 feet.
please help me on this
Converse of the corresponding angles postulate
============================================
Explanation:
The corresponding angles postulate says that if we have two parallel lines, then the corresponding angles are congruent.
The converse of this is where we go in reverse: if we know the corresponding angles are congruent, then the lines are parallel.
Corresponding angles are ones where they are on the same side of the transversal line, and also on the same side of each adjacent parallel line. In this case, the angles 52 are to the right of the tranversal, and each are above their neighboring parallel line. We could say the two corresponding angles are both in the upper right hand corner (think of the two lines crossing to form 4 corners or regions)
Tim wants to find the area of the floor in
a room. If the room is square with length
and width 8, what expression with an
exponent can he write to show the area
of the room?
Step-by-step explanation:
Area of the room
= length x width
= 8 x 8
[tex] = 8^2 [/tex]
Answer in simplest form.
Chris spent 5/6 hour drawing and 2/6 hour reading. How much more time did he spend
drawing than reading?
Step-by-step explanation:
Time = 5/6 - 2/6 = 3/ 6 = 1/2
VIOLI me eg 20(20-x) = 300 What is the value of x? Round to the units place.
Answer:
x=5
Step-by-step explanation:
20(20-x) = 300
Divide each side by 20
20/20(20-x) = 300/20
20-x = 15
Subtract 20 from each side
20-x-20 = 15-20
-x = -5
Multiply each side by -1
x = 5
Answer:
x = 5
Step-by-step explanation:
20(20-x) = 300
20( -x + 20) = 300
-20x + 20 * 20 = 300
-20x = 300 - 400
x = -100 / -20
x = 5
The sum of five consecutive even integers is 530 list integers from smallest to largest
Step-by-step explanation:
Let the 5 even integers be x-4,x-2,x,x+2,x+4
Hence, x-4+x-2+x+x+2+x+4=530
Hence, 5x=530
Hence, x=530/5
Hence,x=106
so.. the integers are 102,104,106,108,110
Simplify (x + 4)(x2 − 6x + 3). (5 points) a x3 − 14x2 + 3x + 12 b x3 − 6x2 − 17x + 12 c x3 − 10x2 − 27x + 12 d x3 − 2x2 − 21x + 12
Answer:
the answer is x −[tex]5x+6(x5)24+|−2|[/tex] ohhh i didnt see the abcd
Step-by-step explanation:
Answer:
The answer is option DStep-by-step explanation:
( x + 4)( x² - 6x + 3)
Using the distributive property expand the expression
That's
x³ - 6x² + 3x + 4x² - 24x + 12
Group like terms
That's
x³ - 6x² + 4x² + 3x - 24x + 12
Simplify
We have the final answer as
x³ - 2x² - 21x + 12Hope this helps you
Suzie has 55 pairs of shoes which is 33 less than twice the amount of shoes Jamie has. how many pairs of shoes does Jamie have
Answer:
Jamie has 44 pairs of shoes
Step-by-step explanation:
Let
Jamie= x pairs of shoes
Suzie= 33 less than twice the amount of shoes Jamie has
2x - 33 = 55
Solve:
2x - 33 = 55
Collect like terms
2x = 55 + 33
2x = 88
Divide both sides by 2
2x / 2 = 88 / 2
x = 44
Jamie = x = 44 pairs of shoes
Therefore, Jamie has 44 pairs of shoes
What is the slope of the line that passes through the points (−6,−4) ) and (−12,−4)? Write your answer in simplest form.
Answer:
Slope: 0
Step-by-step explanation:
To find the slope use the expression y2 - y1/x2 - x1
Either of the coordinate can be y2 or y1 they just x1 and y1 have to be the same coordinate
Let's make (-12, -4) x2 and y2 & (-6, -4) x1 and y1
Next substitute the numbers into the expression
-4 +4/-12 + 6
This will equal 0/-6
The slope is only 0 because whenever you divide 0 by a number it will always be zero unless it is something like 14/0, this means it is undefined (only for slopes)
Answer:
0
Step-by-step explanation:
To find the gradient of a line, we take the change in the y value divided by the change in the x value.
In this instance, the line passes through (-6, -4) and (-12,-4) , that means the line has a constant y value.
Following the equation to find gradient, we take the difference in y divided by the difference in x
[tex]\frac{(-4) - (-4)}{(-6) - (-12)} = \frac{0}{6} = 0[/tex]
and we see that the gradient is 0, which means that it is a flat line
Grace weaves a rug that is 1/3 yard wide and 2 yards long. She wants to
weave a rug that uses the same design but is 1 yard wide. How long will
the rug be?
What did you do first to find the length? Why did you choose that method?
Answer:
6 yards long
Step-by-step explanation:
1/3 yards wide = 2 yards long
Let x = length of the other rug
1 yard wide = x yards long
1/3 : 2 = 1 : x
1/3 ÷ 2 = 1 ÷ x
1/3 × 1/2 = 1 / x
1/6 = 1/ x
Cross product
1*x = 6*1
x= 6 yards
Therefore, the length of the new rug with 1 yard wide is 6 yards long
The first thing to do is to find the ratio of wide to long of the two rugs by representing the long of the second rug with x
It is the simplest method to solve the question
Larry runs 2.5 miles and sees a total of 12 dogs. If Larry runs for a total of 8 miles, approximately how many dogs will Larry see?
Answer:
38.4
Step-by-step explanation:
We have 8/2.5=3.2 What does this mean? Well, it means that (if the miles are porportional to the dogs) that means he will see 3.2 as many dogs. So, we have 12*3.2=38.4, or 38 if the homework is asking for a rounded number. Hope I helped!
Larry sees 12 dogs per 2.5 miles.
Your trying to find out how many dogs Larry sees in 8 miles.
[tex]\frac{2.5}{12} = \frac{8}{x}[/tex]
So you want to find x.
To go from 2.5 to 8, you have to multiply by 3.2
So do the same thing to the denominator; 12 × 3.2=38.4
Since there are 38.4 dogs, you have to round down because 0.4 dogs is no dog.
Larry sees 38 dogs in 8 miles.
♡ Hope this helped! ♡
❀ 0ranges ❀
Factor completely 2x2 + 9x + 4. (1 point) (2x + 2)(x + 4) (2x + 2)(x + 2) (2x + 4)(x + 1) (2x + 1)(x + 4)
Answer:
(2x + 1)(x + 4)
Step-by-step explanation:
2x² + 9x + 4 cannot be factored normally - we must use the grouping technique (a > 1).
First, check for a GCF. Because there is not a GCF within this (factors of 9 are 1 and 3 - taking a 1 out is pointless), we will instead break the equation into two factors.
2x² will be apart of the first factor. You want to break the 9x into factors that will evenly break down with the 2x^2, so 3x will not work.
Your grouping factors should then be (2x^2 + 8x)(x + 4).
Then, take out the GCFs of the factors.
2x can come out of (2x^2 + 8x), so your new factor is 2x(x + 4). Your second factor set has no GCF, so you take out a 1 and get 1(x+4). In order to verify you did this correctly, the terms having the GCF distributed cannot be different in anyway.
Your factors are now (2x + 1)(x + 4) take the two GCFs and make them a factor set, then the second factor is the common factor.
Answer:
Answer is the fourth option
Step-by-step explanation:
Pls answer ASAP!! I will make you brainliest! (Number 11.)
Answer:
$13
Step-by-step explanation:
R = 10A - 20
110 = 10A - 20
add 20 to both sides
130 = 10A
divide by 10
13 = A
$13
Answer:
13 dollars
Step-by-step explanation:
R = 10A -20
Let R = 110
110 = 10A -20
Add 20 to each side
110+20 = 10A -20+20
130 = 10A
Divide each side by 10
130/10 = 10A/10
13 = A
For the solution (2,2) , find the value of ‘c’ in the equation 2x + cy = 8
We have a solution (2,2) so x = 2 and y = 2. Then:
[tex]2x+cy=8\\\\2\cdot2+c\cdot2=8\\\\4+2c=8\\\\2c=8-4\\\\2c=4\quad|:2\\\\\boxed{c=2}[/tex]
When you use the midpoint formula can you take either points as x ,y? Why or why not ?
Answer:
Yes, we can take either points as x and y because addition is commutative
Step-by-step explanation:
First of all, the midpoint formula is given as;
(x, y) = [((x₁ + x₂)/2), ((y₁ + y₂)/2)]
For example, if we assume that we have two endpoints having coordinates as (2, 5) and (4, 7)
Now, let (2, 5) represent the first coordinate and (4, 7) represent the second coordinate.
Thus, Coordinates of midpoint = [((2 + 4)/2), ((5 + 7)/2)]
This gives;
(x, y) = (3, 6)
Now,if we change the order of the coordinates by making (4, 7) to be the first coordinate and (2, 5) to be the second coordinate. Thus;
Coordinates of midpoint = [((4 + 2)/2), ((7 + 5)/2)] = (3, 6)
We can see that the coordinates of the midpoint remains the same even after interchanging the coordinates as first and second.
This is because we are adding two numbers and addition is commutative (in commutative properties, changing the order of the operands will not change the result). Thus, it doesn't matter in which order we have the endpoints.
Which of the following functions is graphed below
Answer:
b
Step-by-step explanation:
bet
-2n(5+n-8-3n) n =3 algebra
Answer:
54Step-by-step explanation:
[tex] - 2n(5 + n - 8 - 3n) \\ n = 3 \\ - 2(3)(5 + 3 - 8 - 3(3)) \\ - 6(5 + 3 - 8 - 9)[/tex]
[tex] - 6(8 - 8 - 9) \\ - 6( - 9) \\ = 54[/tex]
what is all the real solution of the equation
Answer:I think its C
Step-by-step explanation:
Answer:
x=1, or 6, or 4 (D)
Step-by-step explanation:
x³-11x²+34x-24=0 solve by factorizing
(x-1)(x-6)(x-4)=0
x-1=0
x=1
if x-6=0
x=6
x-4=0
x=4
check : x³-11x²+34x-24=0
x=1 : (1)³-11(1)²+34(1)-24=0
1-11+34-24=-35+35=0 (correct)
x=6 : 6³-11(6)²+34(6)-24=0 (correct)
x=4 : 4³-11(4)²+34(4)-24=0 (correct)
What is the perimeter of this rectangle? *
5 cm
8 cm
ar swer
Answer:
Perimeter of rectangle = 2(l+b)
= 2(8+5)cm
= 2*13 cm
= 26cm
Irene is gathering information about students at a local college. Here is some of the data she collected.
Answer:
Step-by-step explanation:
The individuals in the given data set are college students while the data set contains 3 variables, three (3) of which are categorical in nature.
What is a categorical data?A categorical data can be defined as a type of statistical data that is used to group information that are having the same attributes or characteristics. Some examples of a categorical data include the following:
AgeGenderRaceReligion ClassIn this scenario, the individuals in the given data set are college students while the data set contains 3 variables, three (3) of which are categorical in nature i.e junior, senior and sophomore.
Read more on categorical data here: https://brainly.com/question/20038845
#SPJ2
Z=8+6x-px
I need to solve the literal equation for x. Please help!!
Answer:
x = (z-8)/(6-p)
Step-by-step explanation:
Here in this question, we are to solve for x.
In quite more understandable words, we are trying to make x the subject of the formula.
To do this, we simply bring together, the terms that have x common to them.
Let’s proceed mathematically;
z = 8 + 6x - px
Let’s take 8 to z to make it negative and factor out x since it’s common to the two terms on the right hand side of the equation.
z - 8 = x(6-p)
The final thing to do here is to isolate x and this gives the below;
We can do this by dividing both sides by the coefficient of x which is 6-p in this case.
Thus;
x = (z-8)/(6-p)
ANSWER FAST PLEAEE!:) I REALLY NEED HELP:)
Questions
1. How many theme is Noah considering?
2. How many locations is Noah considering?
3. How many days of the week is Noah considering
4. One possibility that Noah is considering is a party with a space theme at the skating rink on Sunday. Write two other possible parties Noah is considering
5. How many different possible outcome are in the sample space?
Answer:
1. 3 themes : space, safari, comics
2. 2 locations : skating rink, park
3. 3 days of the week : Friday, Saturday, Sunday
4. A safari theme at the skating rink on Saturday.
A comics theme at the park on Friday.
5. 6 different possible outcome are in the sample space.
I'm not sure if it's right but I hope it helps.
How To Multiply Decimals And Fractions
Answer:
[tex]\large \boxed{\mathrm{view \ explanation}}[/tex]
Step-by-step explanation:
Convert the decimal into a fraction, then multiply both fractions.
For example:
0.5 × 1/4
0.5 is also 5/10 or 1/2.
1/2 × 1/4
Multiply both fractions.
(1 × 1)/(2 × 4)
= 1/8