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4 years ago

Graphs of what functions are shown below?

Mathematics

1 answer:

shtirl [24]4 years ago

6 0

Answer:

-3/5

Step-by-step explanation:

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In the given figure, BAC = 90° and ABC = 45°. Prove that: AB = AC.

Amiraneli [1.4K]

Answer:

<h2>By angle sum property:</h2>

BAC+ABC+BCA=180°

90°+45°+x=180°

135°+x=180°

x=45°=BCA

<h2>since BCA=ABC= 45° each </h2><h2>therefore,</h2>

$AB=AC \\ (isosceles \: triangle \: \\ theorem)$

<h2>Hope it helps you<3</h2>

6 0

3 years ago

Factor out the coefficient of the variable 1/2q plus 5/2

Iteru [2.4K]

I believe you do it like this:
1/2 Q+5/2
divide 1/2 into each term
to divide multiply by the reciprocal
1/2 x2/1= 1
5/2 x 2/1=5

1/2(Q+5)

8 0

4 years ago

What is the surface area of the rectangular prism below?

Andrew [12]

Answer:

B ( 432 units^2)

Step-by-step explanation:

Total surface area= 2*(6*6)+ 4*(15*6)

There are 2 squares at each end of the same size so total area will be 2*(6*6)

If we look at the rectangles( bottom, top and the sides), we can see that all are of same dimensions and there are 4 of them so it's 4*(15*6)

In short, total surface area= 2*(6*6)+ 4*(15*6) = 432 units^2

5 0

3 years ago

Two complementary angles are in the ratio 7:8. What is the measure of the larger angle?

yan [13]

Answer

Step-by-step explanation:

We know that sum of complementary angle adds to 90°

Let the angles be 7x and 8x

First of all, finding the value of x

$\sf{7x + 8x = 90 °}$

Collect like terms

⇒ $\sf{15x = 90 °}$

Divide both sides of the equation by 15

⇒ $\sf{ \frac{15x}{15} = \frac{90}{15} }$

Calculate

⇒ $\sf{x = 6 °}$

The value of X is 6°

Now, substituting / Replacing the value of x

⇒ $\sf{7x = 7 \times 6 = 42}$

⇒ $\sf{8x = 8 \times 6 = 48}$

The measure of larger angle is 48°

Hope I helped!

Best regards!!

5 0

4 years ago

A group of workers can plant 6 3/4 acres in 1 7/8 days. What is the unit rate in acres per day?

Sedaia [141]

Answer:

The answer is 3.6 acres per day

Step-by-step explanation:

To find the unit rate divide the number of acres by number of days

∴ Unit rate = $6\frac{3}{4}$ ÷ $1\frac{7}{8}$

= (6 × 4 + 3)/4 ÷ (1 × 8 + 7)/8 = 27/4 ÷ 15/8

= 27/4 × 8/15 = 18/5 = 3.6 acres per day

6 0

3 years ago