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3 years ago

Please help me out! :(

Mathematics

1 answer:

Masja [62]3 years ago

5 0

Ans: option 2

By substituting each x and y value in respected equation and u will get the ans.

Hope this can help.

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Melody lives 30 miles due south of her cousin's house and 40 miles due west of her grandparents' house. One

patriot [66]

Answer:

my bad g I don't know thus I just need some points

4 0

2 years ago

I need help ASAP. Thank you :)

kvasek [131]

m∠FDE = 52°

Solution:

Given data:

DE ≅ DF, CD || BE, BC || FD and m∠ABF = 116°

Sum of the adjacent angles in a straight line = 180°

m∠ABF + m∠CBF = 180°

116° + m∠CBF = 180°

m∠CBF = 64°

If CD || BE, then CD || BF.

Hence CD || BE and BE || FD.

Therefore BFCD is a parallelogam.

In parallelogram, Adjacent angles form a linear pair.

m∠CBF + m∠BFD = 180°

64° + m∠BFD = 180°

m∠BFD = 116°

Sum of the adjacent angles in a straight line = 180°

m∠BFD + m∠DFE = 180°

116° + m∠DFE = 180°

m∠DFE = 64°

we know that DE ≅ DF.

In triangle, angles opposite to equal sides are equal.

m∠DFE = m∠DEF

m∠DEF = 64°

sum of all the angles of a triangle = 180°

m∠DFE + m∠DEF + m∠FDE = 180°

64° + 64° + m∠FDE = 180°

m∠FDE = 52°

8 0

3 years ago

0.70 writing decimals as fraction ?

forsale [732]

0.70 can be concerted to a fraction by multiplying by 100. SO the answer is 70%

8 0

3 years ago

Read 2 more answers

In Grafton, a rural area in Vermont, the distance (in meters) between telephone poles has a uniform distribution between 40 and

coldgirl [10]

Answer:

a) 60% probability that the distance is environment friendly.

b) The mean of the distances between the telephone poles is 52.5 meters.

c) The standard deviation of the distance between the telephone poles is 7.22 meters.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

Uniform distribution between 40 and 65 meters.

This means that $a = 40, b = 65$

a) Any distance between poles greater than 50 meters is considered to be environment friendly. What is the probability that the distance is environment friendly?

This is $P(X > 50)$

We have that

$P(X \leq 50) + P(X > 50) = 1$

$P(X > 50) = 1 - P(X \leq 50)$

$P(X \leq 50) = \frac{50 - 40}{65 - 40} = 0.4$

$P(X > 50) = 1 - P(X \leq 50) = 1 - 0.4 = 0.6$

60% probability that the distance is environment friendly.

b) Find the mean of the distances between the telephone poles

The mean of the uniform distribution is

$M = \frac{a + b}{2}$

$M = \frac{a + b}{2} = \frac{40 + 65}{2} = 52.5$

c) Find the standard deviation of the distance between the telephone poles.

The standard deviation of the uniform distribution is:

$S = \sqrt{\frac{(b-a)^{2}}{12}}$

$S = \sqrt{\frac{(65-40)^{2}}{12}} = 7.22$

5 0

4 years ago

Find the surface area of the solid formed by the net. Round your answer to the nearest hundredth.

-BARSIC- [3]

Answer:

<h2>The area of the total figure is around 535.43 square centimeters.</h2>

Step-by-step explanation:

In the image attached, you can notice that all rectangles have a base of 20 centimeters.

Also, each side of the equilaterals triangles is 8 centimeters.

Notice that the height of each rectangle is equal to a side of a triangle.

Using all given vales, the area of each rectangle is

$A_{rectangle}=b\times h=20 \times 8 =160 cm^{2}$

The area of all rectangles is

$A_{rectangles}=3(160cm^{2})=480 cm^{2}$ , because there are three rectangles in total.

The area of each triangle is

$A_{triangle }=\frac{\sqrt{3} }{4} (8cm)^{2} =\frac{\sqrt{3} }{4}(64cm^{2} )\\A_{triangle }=16\sqrt{3} cm^{2}$

The area of both triangles is

$A_{triangles}=2(16\sqrt{3}cm^{2} )=32\sqrt{3} cm ^{2}$

Now, the area of the whole figure is the sum of the area of triangles and rectangles

$A_{total}=480cm^{2} +32\sqrt{3} cm^{2} \approx 535.43 cm^{2}$

Therefore, the area of the total figure is around 535.43 square centimeters.

7 0

3 years ago