1. How do the heights of the chimpanzee and gorilla habitats compare to the height of the
orangutan habitat? Round all answers to the nearest hundredth of a yard. Show your work.
2. Label a point Z that is vertical to point X and horizontal to point Y. A string of lights is being hung
from point Z to the cable that connects the gorilla and chimpanzee habitats. The string of lights
will create a right angle with the cable. Determine the distance between point Y and the point
where the string of lights attaches to the cable. Round all answers to the nearest hundredth of a
yard. Show your work.

Answer:

£60 : £24

Step-by-step explanation:

Let's put the ratio into one number.

5 + 2 = 7

There are 7 parts in our ratio, so let's find one part.

£84 ÷ 7 = £12

Going back to the original ratio, we can multiply one part by 5 and 2.

£12 × 5 = £60

£12 × 2 = £24

And it all adds back together to make £84.

£60 + £24 = £84

Answer:

35 because if you flip it around its the exact same angle

Answer:

x = -1.791 and x = 2.791

Step-by-step explanation:

To solve this problem, we have to plot this graph using  tool so we also know which of the lines is right.

The solution to this equation is at -1.791 and +2.791 and the graph that looks like the equation is the line in green color.

A given quadratic equation is an equation that has the highest degree of 2. Further more, when plotted on a graph, it has a parabolic shape.

The given equation is

[tex]3= x^2 - x - 2\\y = x^2 - x -5[/tex]

Let's proceed to plot this graph and we would see the solutions at the point in which the lines curves.

Using that, the solution to this equation is at -1.791 and +2.791 and the graph that looks like the equation is the line in green color.

The solution are

Learn more on quadratic equation here;

https://brainly.com/question/8649555

#SPJ2

Answer:

2611.2

Step-by-step explanation:

I dont think its right though

Answer:

30 028.8 US$

Step-by-step explanation:

Answer:

I think your problem didn't copy correctly because you didn't provide a function. if you could provide it to me I would be glad to help and give you the answer.

I also do exams and quizzes if your interested

Answer:

2.55555556

Step-by-step explanation:

Answer:

6   12   18   24

___________

8   16   24   32

Answer:

If you were solving for d it would be

Step-by-step explanation:

D=t*r

The correct answer is one

good luck in math

Answer: It's an acute triangle.

Step-by-step explanation: I have the same problem, and I tried each choice, acute was the correct answer

The triangle with side lengths 8, 12, 14 is an obtuse triangle.

A triangle is a three-sided polygon that consists of three edges and three vertices.

To determine whether the triangle is acute, obtuse, or right, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side.

8² + 12² = 64 + 144 = 208

14² = 196

Since 208 is greater than 196, we can see that the triangle does not satisfy the Pythagorean theorem. Therefore, the triangle is not a right triangle.

Since the longest side is 14 and the sum of the squares of the two shorter sides is less than the square of the longest side, we can conclude that the triangle is obtuse.

Therefore, the triangle with side lengths 8, 12, 14 is an obtuse triangle.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ2

Answer:

i think its c

Step-by-step explanation:

Answer: the answer is c

Step-by-step explanation:

Answer:

1200 miles apart for the two cities

Answer:

145) A

146) C

147) B

148) D

Step-by-step explanation:

_____________________145_____________________

Starting with number 145 it mentions that XY = 24 and XY:YZ = 1:2.

XY:YZ means ratio of XY over YZ so for each 1 XY there is 2 YZ.

Moving on and taking note that XY=24 so this means that,

[tex]\frac{XY}{YZ} =\frac{24}{YZ}= \frac{1}{2}[/tex]

Solving the above expression by cross multiplying 24x2 will give you YZ = 48. The same method applies to #146 and #148 the next questions.

_____________________146_____________________

YZ = 9 and XY:YZ=2:3

[tex]\frac{XY}{YZ} =\frac{XY}{9} =\frac{2}{3}[/tex]

XY= (2x9)/3 = 6

XY = 6

_____________________147_____________________

Given:

XZ = 2ft

YZ = 18in

In this question, you will have to refer to the proportion line given above the questions. It mentions that XZ = 2ft (which is the whole line) and YZ = 18in (which is from Y to Z). Take note that the units are not the same.

They're looking for XY which is the only unknown length in the given proportion line. To get XY you'll have to subtract XZ - YZ, but the units are not the same so you'll have to convert feet to inches since the answer options are given in inches.

Convert 2ft to inches:

To convert from feet to inches you'll have to multiply by 12 so 2x12 = 24.

Therefore, XZ = 24in

Now we subtract:

XZ - YZ = XY

24 - 18 = 6in

_____________________148_____________________

YZ = 1ft

XY: YZ = 1:4

YZ is given in feet and the answers are provided in inches so we'll have to convert.

1 x 12 = 12in

YZ = 12in

[tex]\frac{XY}{YZ} =\frac{XY}{12} =\frac{1}{4}[/tex]

XY = (1x12)/4 = 3in

The original price of the racket is $30

Let the original price be x

If there is 30% off the original price, then the new price will  be 0.7x

If the price of tennis racquet is now $21, hence;

0.7x = 21

Divide both sides by 0.7

0.7x/0.7 = 21/0.7

x = 21/0.7

x = $30

Hence the original price of the racket is $30

Learn more on discount here: https://brainly.com/question/19104371

Answer: Tom's average speed for the rest of the journey = 48mph

Step-by-step explanation:

Total distance driven = 200 miles

total time taken = 4hours

first 32 miles , he drove at an average speed of 64mph, To find the amount of time taken for the first 32 miles,

We Use the formulae

Speed = distance / time

Time = Distance / speed

=32/64 = 1/2 =0.5 hours

The remaining distance = Total distance covered - first 32 miles covered

= 200 -32= 168 miles

The remaining time for rest of journey = Total time taken - time covered in the first 32miles

4hours - 0.5 hours

=3.5 hours

Therefore Average speed for the rest of the journey = Distance for the remaining journey/  remaining time

168miles/ 3.5hours = 48mph

Answer:

8

Step-by-step explanation:

Cheese= C

Jam= J

Ham= H

Tomato= T

Peanut butter= P

Mayonnaise= M

(C,H),(C,T),(C,P),(C,M),(J,H),(J,T)(J,P)(J,M)

Hope this helps :)

Answer:

Yes

Step-by-step explanation:

I see a right angle, so its perpendicular

Answer:

Approximately 2.12

Step-by-step explanation:

Start by taking the sine of angle 45.  Sin(45)=x/3.  Then multiply both sides by 3.  3*Sin(45)=x and plug into the calculator.  

Answer:

f(10) = -130

Step-by-step explanation:

f(x) = -x² - 3x

f(10) = -(10)² - 3(10)

f(10) = -100 - 30

f(10) = -130

Answer:

Both are equal to [tex]\frac{1}{16}[/tex]

Step-by-step explanation:

If the exponent is negative we can turn it into a fraction and make it positive.

This means the number goes to the denominator and the numerator becomes one. Therefore the following.

[tex]4^{-2} = \frac{1}{4^{2} } =\frac{1}{16}[/tex]

[tex]2^{-4} =\frac{1}{2^{4} } = \frac{1}{16}[/tex]

Answer: C

Step-by-step explanation:

It would have to be a translation and another translation because the preimage of the figure is the same orientation as the image therefore it can't have a rotation or reflection included in it so the answer would be C. Hope this helps :)!

Option (C) is correct.

What are congruent sides and a translation?

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

How to find FGHIJ onto pentagon F'G'HTJ'?

It would have to be a translation and another translation because the preimage of the figure is the same orientation as the image

Thus it can't have a rotation or reflection included in it so the answer would be C.

Learn more about transformations on :https://brainly.com/question/1046778

#SPJ2

Answer:

4x² - 16.

Step-by-step explanation:

(2x-4)² =?

(2x-4)² = (2x)² - (4)²

= 4x² - 16.

Answer:

x = 2

Step-by-step explanation:

To solve , equate to zero, that is

(2x - 4)² = 0, so

2x - 4 = 0 ( add 4 to both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Answer:

x=1, y=-6. (1, -6).

Step-by-step explanation:

y=-6x

-2x-7y=40

------------------

-2x-7(-6x)=40

-2x+42x=40

40x=40

x=40/40

x=1

y=-6(1)=-6

y = 7

I have attached the step explanation in the photo

Answer:

answer is y=7

Step-by-step explanation:

3+2y-24=14-3y

first solve 3+2y-24 by collecting like terms together

2y+3-24

2y-21

substitute (2y-21) into 3+2y-24=14-3y

2y-21=14-3y

collect like terms together

2y+3y=14+21

5y=35

5y/5=35/5

y=7

Answer:

50227

Step-by-step explanation:

Answer:

11 divided by 5 is equal to the fraction 11/5, which can also be expressed as the mixed number [tex]2\frac{1}{5}[/tex] .

To convert the division of 11 by 5 into a fraction, we can express it as a ratio of two integers. Here's how we can derive the fraction:

When we divide 11 by 5, we get a quotient of 2 with a remainder of 1. So, we can write the division as:

11 ÷ 5 = 2 + 1/5

Since 2 is a whole number, we can express it as a fraction with a denominator of 1:

2 = 2/1

Now, we can rewrite the division using the same denominator:

11/5 = 2/1 + 1/5

To combine the fractions, we need a common denominator. The least common multiple (LCM) of 1 and 5 is 5. Therefore, we can multiply the fractions by appropriate values to make their denominators equal to 5:

11/5 = (2/1) × (5/5) + (1/5) = 10/5 + 1/5

Now that the denominators are the same, we can add the fractions:

11/5 = (10 + 1)/5 = 11/5

Therefore, the division of 11 by 5 can be expressed as the fraction 11/5.

The fraction 11/5 represents the result of dividing 11 into 5 equal parts. Each part would be equal to 11/5. It can also be simplified to a mixed number as 2 1/5, where the whole number part is 2 and the fractional part is 1/5.

So, 11 divided by 5 is equal to the fraction 11/5, which can also be expressed as the mixed number 2 1/5.

Read more about fraction here: https://brainly.com/question/78672

#SPJ6

Answer:

One solution

Step-by-step explanation:

In a one- variable equation has infinitely many solutions when solving results in a true statement, such as 2=2

In a one- variable equation has one solution when solving results in one value for the variable, such as x = 5

In a one - variable equation has no solution when solving results in an untrue statement, such as 2=3

So, in this case the result x = -2 belongs to the 2nd sentence where it says one solution.

Hope this helps :)

Answer:

See explanations below

Step-by-step explanation:

Given the equation

6x-9 = 15

Add 9 to both sides

6x-9+9 = 15+9

6x = 24

x = 24/6

x = 4

For the equation

16x - 20 = 44+ 5x

Since we have x variables on both sides, we will collect the like terms

16x - 5x = 44+20

11x = 64

Divide both sides by 11

11x/11 = 64/11

x = 64/11

x = 5.82

Hence the value of x is 5.82

Answer:

8.0%

Step-by-step explanation:

Answer:

maybeeee 800%???

Step-by-step explanation: