On a coordinate plane ,the segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5,with the origin as the center of dilation. What is the length of the resulting segment ?

A-80

B-100

C-112

D-125

Answer:

  11.5 m

Step-by-step explanation:

The problem can be solved using a trig relation that relates the side opposite the angle to the side adjacent to the angle. That relation is ...

  Tan = Opposite/Adjacent

The lengths of the adjacent sides of the triangle can be found by rearranging this formula:

  Adjacent = Opposite/Tan

__

The "opposite" side of the triangle is the height of the tree, which we can represent using h. The problem statement tells us of a relation between adjacent side lengths and angles:

  h/tan(25°) -h/tan(50°) = 15 . . . . . moving 15 meters changes the angle

  h(1/tan(25°) -1/tan(50°)) = 15

  h = 15·tan(25°)·tan(50°)/(tan(50°) -tan(25°)) = 15(0.55572/0.72545)

  h ≈ 11.4907 . . . . meters

The height of the tree is about 11.5 meters.

Answer:

144 [tex]cm^2[/tex]

Step-by-step explanation:

Answer:the answer were to your question is 4

Step-by-step explanation:

Put me on brainlyiest pls

Answer:

first convert mixed fraction to improper fraction then solve by taking LCM

hope the above process helps

Answer:

5  7/12

Step-by-step explanation:

1/6 can be converted to 2/12
1 3/4 can be converted to 1 9/12
Add them together, you'll get 1  11/12
7  1/2 is equal to 7  6/12
7  6/12 - 1  11/12 = 5  7/12

              5 /12 is your answer

Answer:

My favorite subject is Science

Step-by-step explanation:

Because it’s really interesting and the concepts about everything that could and will happen is fascinating

Answer:

7 pairs of shoes

Step-by-step explanation:

So your equation is P(x) = -6x² + 60x - 126. This is a parabolic function, and it looks like we can factor it.

First, let's factor out -6 from the equation to simplify it. If we divide each part of the equation by -6, that leaves us with -6(x² - 10x + 21).

Now, we can factor the equation further by finding two numbers that add up to -10 and multiply to get 21. We know that both have to be negative numbers since they add up to a negative number and multiply to a positive one. The numbers you get are -3 and -7, making the equation P(x) = -6(x-3)(x-7).

x = 3 or 7. To maximize profit, you should sell 7 pairs of shoes.

Hope this helps! :)

Answer

Let's get to it!

Step-by-step explanation:

1) There are 15 pounds of chees on that platter. (3+5+3+4=15)

2) The total weight is 32 ounces and 6 pounds.

3) 35 gallons of coffee are brewed per day. (5+5+5+5+5+5+5=35)

4) The cook peeled 50 pounds of potatoes per hour (200 divided by 4)

5) There is a total of 4/8 or 1/2 of an ounce

6) 2/8 ounces of oregano is left.

7) This recipe requires 1 and 1/2 pounds of meat.

(This is all I could do without paper) sorry, hope this helps.

Hey there!

Let's solve this equation.

5x+3x-4=10

add the x's

8x-4=10

add 4 to both sides

8x=10+4

8x=14

divide both sides by 8

x=14/8

Reduce the fraction;

x=7/4 (improper fraction)

x=1+3/4 (mixed number)

Hence, the equation has 1 solution.

Hope everything is clear.

Let me know if you have any questions!

#ILoveLearning

:-)

Answer:

i presume it has

Step-by-step explanation:

only 1 solution.

combine like terms & then solve

Answer:

1 - 50

5 - 90

10 - 140

50 - 540

Step-by-step explanation:

The rate of change is 10/1, while the Y-intercept is 40. The equation would be Y=10x+40

This is the answer. If this helps you please give brainliest.

Work Shown:

[tex]\frac{2^x \times 3^y}{2^4 \times 3^2} = 6\\\\\frac{2^x \times 3^y}{2^4 \times 3^2} = 2\times3\\\\\frac{2^x \times 3^y}{2^4 \times 3^2} = 2^1\times3^1\\\\2^x \times 3^y = (2^4 \times 3^2)(2^1\times 3^1)\\\\2^x \times 3^y = (2^4\times2^1) (3^2\times 3^1)\\\\2^x \times 3^y = 2^{4+1} \times 3^{2+1}\\\\2^x \times 3^y = 2^{5} \times 3^{3}\\\\[/tex]

The 2^x matches with 2^5, showing that x = 5.

3^y matches with 3^3 to get y = 3

Therefore, x+y = 5+3 = 8

Answer:

25ft/s

Step-by-step explanation:

500ft/20s = 25ft/s

Step-by-step explanation:

c. h= p/(mg)

HOPE it helps

Answer:

12.16 inches.

Step-by-step explanation:

Use pythagoras thereom since they are right angle triangles. A² = c² - b².

For NP triangle:

10² - 4² = 84. square root of 84 is 9.165.

For MN triangle:

5² - 4² = 9. square root of 9 is 3.

finally, add them up:

3 + 9.165 = 12.165, to 2 d.p., it is 12.16 inches.

Answer:

Sorry i don’t know the answer

Step-by-step explanation

I don’t know

Answer:

The space between two intersecting lines is called an:
Angle

An angle is formed when two lines meet at a shared point. They are measured in degrees. There are four important types of angle; acute, right, obtuse, and reflex. A full circle has 360 degrees. If you see an angle of 720 degrees, it means it has rotated twice around a full circle.

360 degrees (one time round) x 2 = 720 degrees (two times round)




Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

8,070 meters

Step-by-step explanation:

First we add :)

410 + 370 = 780

Now we subtract :)

8,850 - 780 = 8070

Have an amazing day!!

Please rate and mark brainliest!!!

Ignore this I deleted my answer cause I missread the question...

Answer:

I'm not sure if you mean 5 x 105 which = 525. Or 5 x 10^5 which = 500,000

Step-by-step explanation:

The answer to the first one. is easy, you just have to multiply it first. The second one is pretty simple too. You would have move or shift the decimal point 5 times to the right.

Answer/Step-by-step explanation:

Quotient is simply the ratio of the first numerator to the second numerator:

Let's [tex]\frac{x_1}{y}\;and\;\frac{x_2}{y}[/tex] are two fractions in same terms.

Thus, [tex]\frac{x_1}{y}\div\frac{x_2}{y}[/tex] {Divided by a fraction is equal to multiplied by its reciprocal}

=[tex]\frac{x_1}{y}\times\frac{y}{x_2}[/tex]

Quotient is simply the quotient of their numerators.

Example could be:

[tex]\frac{2}{7}\div\frac{3}{7}[/tex]

[tex]\frac{2}{7}\times\frac{7}3}[/tex]

[tex]\frac{2}{3}[/tex]

2 is first numerator and 3 is the second numerator.

~lenvy~

Answer:

radian

Step-by-step explanation:

A radian is a unit of angle that is equal to the angle created at the center of a circle whose arc is equal in length to the radius.

The measure of an angle at the center is 1 radian.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

Radius is equal to arc length.

To find the measure of the angle at the center:

We have the formula,

Angle in radian = arc length / radius

Let a be the arc length,

then a be the radius.

Substituting the values,

Angle in radian = a/a

Angle in radian = 1 radian

Therefore, 1 is the measure of an angle at the center.

To learn more about the angle measure;

brainly.com/question/14684647

#SPJ2

The amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years is $225093.358.

The total amount to be withdrawn in a year = 15265*2 = $30530

The total amount to be withdrawn in 35 years =$1068550

Compound interest is interest on interest along with interest on the principle.

Annual Rate of interest = 4.5%

Semi-annual rate of interest r=2.25%

Amount A= $1068550

[tex]1068550 =P(1+\frac{2.25}{100})^70[/tex]

[tex]P = $225093.358[/tex]

Therefore, the amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years is $225093.358.

To get more about compound interest visit:

https://brainly.com/question/24274034

Answer:

Jenna is correct.

Step-by-step explanation:

See attached image.

Answer: 44 degrees

Step-by-step explanation:

Answer:

-6,-1,4,9,14

Step-by-step explanation:

Just replace x in the equation with parenthsis and inside of them put the x value and solve as normal. From top down the answer is -6, -1, 4, 9, 14

Answer:

Put 4.96 in the second box then solve which the answer is 6.76

Step-by-step explanation:

Answer:

you need 32 eggs

Step-by-step explanation:

48 divided by 12=4

8x4=32

Answer:

2 eggs

Step-by-step explanation:

take the 48 and divide by 12 to get the answer, then take the 8 eggs and divide it by the answer you get to the first part, and you will get the amount of eggs.

The probability computed shows that the point estimate of the population is 6.2%.

a. The point estimate of the population will be calculated thus:

= 62% = 62/100 = 0.62

b. The margin of error of the population will be:

= z value × [✓0.62 × ✓0.38 / ✓200]

= 1.96 × (0.78 × 0.61 / 14.14)

= 0.0672

Therefore, the interval estimate is 6.72%.

c. The margin of error of the population proportion is found using half the range will be:

= [0.76 - 0.46] /2

= 0.30/2

= 0.15

d.  The community action group’s claim is likely based on either interval estimate of the true population proportion since the confidence interval value is greater than 0.45.

Learn more about probability on:

https://brainly.com/question/24756209

Answer:

5 times as many should be your answer.

Answer:

It is 1.1

Step-by-step explanation:

-hope this helps.