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omeli [17]
2 years ago
10

Point A is located at (0, 4) and point B is located at (−2, −3). Find the x value for the point that is 1 over 4 the distance fr

om point A to point B. −1.5 −2 −0.5 −1
Mathematics
2 answers:
Vesna [10]2 years ago
7 0

Answer: -0.5

<u>Step-by-step explanation:</u>

the x-value for A is 0.  

the x-value for B is -2.  

The total distance from A to B is -2.

\frac{1}{4}(-2) = -0.5

  A + -0.5

= 0 - 0.5

=  -0.5

ivolga24 [154]2 years ago
4 0

<u>Answer:</u>

-0.5

<u>Step-by-step explanation:</u>

We are given two points:

A (0, 4) and B (−2, −3)

and we are to find the x-coordinate of the point which is 1/4 the distance from the point A to point B.

Since we only have to find the x coordinate, we will measure the distance of x between point A to B i.e. -2.

So, \frac{1}{4} × -2 = -0.5

Therefore, the x-value for the point that is 1/4 of the distance between point A and B is -0.5.

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The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lenghts of the bases of
Sati [7]

Answer:

<h2>The lengths of the bases of the trapezoid:</h2><h2>42/h cm and 84/h cm.</h2>

Step-by-step explanation:

The formula of an area of a triangle:

A=\dfrac{bh}{2}

<em>b</em><em> </em>- base

<em>h</em> - height

We have <em>b = 21cm, h = 6cm</em>.

Substitute:

A=\dfrac{(21)(6)}{2}=63\ cm^2

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

<em>b₁, b₂</em> - bases

<em>h</em><em> - </em>height

We have <em>b₁ = 2b₂</em>, therefore <em>b₁ + b₂ = 2b₂ + b₂ = 3b₂</em>.

The area of a triangle and the area of a trapezoid are the same.

Therefore

\dfrac{3b_2}{2}\cdot h=63         <em>multiply both sides by 2</em>

3b_2h=126          <em>divide both sides by 3</em>

b_2h=42         <em>divide both sides by h</em>

b_2=\dfrac{42}{h}

b_1=2b_2\to b_1=2\cdot\dfrac{42}{h}=\dfrac{84}{h}

8 0
2 years ago
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Determine the measure of an interior angle of the named regular polygon. If a side of the polygon is extended, determine the sup
ladessa [460]

Answer:

A) Each interior angle of the Regular Hexagon = 120°

B)The measure of the supplementary angle of an interior angle is  60°

Step-by-step explanation:

Regular Hexagon : A 6 sided polygon which has all 6 interior angles as  EQUAL is called a regular hexagon.

So, here are 6 interior angles of the hexagon are equal.

Also, Sum of all interior angles of an hexagon = 720°

Let us assume the each angle of the hexagon = m

⇒ m + m + m + m + m  + m = 720°

or, 6 m = 720°

or, m = 720° / 6 = 120°

⇒ Each interior angle of the Regular Hexagon = 120°

Now, a side is extended to form an exterior angle.

Let us assume the measure of that exterior angle  = k

⇒ k + m = 180 °   ( as k and m are SUPPLEMENTARY ANGLES)

or,  k = 180 - 120   = 60 °

or, k = 60 °

Hence,  the measure of the supplementary angle of an interior angle is  60°

6 0
3 years ago
At a concession stand, hamburgers are selling at a rate of 160 hamburgers per hour. The table show the rate at which wraps are s
marshall27 [118]

Answer:

hamburgers

Step-by-step explanation:

3 0
2 years ago
Past experience has indicated that the breaking strength of yarn used in manufacturing drapery material is normally distributed
vlabodo [156]

Answer:

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm)

Step-by-step explanation:

Our sample size is 11.

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df = 11-1 = 10.

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 10 and 0.025 in the two-sided t-distribution table, we have T = 1.812

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

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Now, we multiply T and s

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For the upper end of the interval, we add the sample mean and M. So the upper end of the interval here is

L = 97 + 2.19 = 99.19 = 99.2cm

So

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm).

7 0
3 years ago
school buses use diesel fuel,which is an efficient and clean form of petroleum.One school has 60 buses.Each school bus carries 3
amid [387]

There are 60 buses, each has 34 students

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2 years ago
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