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4 years ago

One angle in a triangle has a measure of 87 degrees. What can you conclude about the other two angles?

Mathematics

1 answer:

Dominik [7]4 years ago

6 0

Answer:

the sum of the other two angle is 93

Step-by-step explanation:

180-87=93

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A line q has a slope of -1. Line parallel to line q. what is the slope of line r?

fomenos

Answer:

The slope would be -1

Step-by-step explanation:

The reason for this is that parallel lines will always go in the same direction, just from different locations. So in this case, we do not need to find the position of the line r but the slope. If line r's slope was different, they would intersect at some point and it wouldn't be parallel any more.

4 0

3 years ago

My question is asking me..."A sphere and a cylinder have the same radius and height. The volume of the cylinder is 18 centimeter

sattari [20]

Answer:

$12 cm^{3}$

Step-by-step explanation:

3 0

3 years ago

21.)

vivado [14]

Answer:

Step-by-step explanation:

a+b=9500 equation 1

35a+55b=432500 equation 2

a=9500-b modified equation 1 to isolate a

35(9500-b)+55b=432500 substitute value of a in equ 1 into value of a equ 2

332500-35b+55b=432500

20b=100000

b=5000

solve for a

a + b=9500

a + 5000=9500

a=4500

check answer:

35a+55b=432500

35(4500)+55(5000)=432500

157500+275000=432500

432500=432500

6 0

3 years ago

The base of an open rectangular box is of length (2x+5) cm and width x cm. The area of this base is 58cm^2. The height of the op

andreev551 [17]

B) $x =4.28$

C) volume = $135.25cm^3$ .

Step-by-step explanation:

Here we have , The base of an open rectangular box is of length (2x+5) cm and width x cm. The area of this base is 58cm^2. The height of the open box is (x-2) cm. We need to find the following :

a) show that 2x^2+5x-58=0

We know that area of rectangle = $length(width)$

⇒ $Area = length(width)$

Putting values according to question we get :

⇒ $58 = (2x+5)(x)$

⇒ $58 = (2x^2+5x)$

⇒ $2x^2+5x - 58 = 0$

b) solve the equation in the question above, giving your answer to 2 decimal places

Solving this equation :

⇒ $2x^2+5x - 58 = 0$

By quadratic formula

⇒ $x = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $x = \frac{-5 \pm \sqrt{5^2-4(2)(-58)} }{2(2)}$

⇒ $x = \frac{-5 \pm 22.11}{4}$

⇒ $x = \frac{-5 + 22.11}{4} , x = \frac{-5 - 22.11}{4}$ { Since side can't be negative ! }

⇒ $x =4.28$

c) calculate the volume of the box, stating units of you answer

Since x = 4.28 , other sides are

$2x+5=2(4.28)+5=13.56\\x-2=4.28-2=2.28$

We know that volume is given by :

⇒ $length(width)(height)$

⇒ $13.86(4.28)(2.28)$

⇒ $135.25cm^3$

Therefore , volume = $135.25cm^3$ .

7 0

3 years ago

Emerson is making a punch that contains 60% grape juice and the rest lemon-lime soda. The punch has 2 liters of lemon-lime soda.

valina [46]

Part A.

Consider a punch containing L liters.

60% of these that is $\frac{60}{100}L=0.6L$ is grape juice, and the rest, 0.4 L is lemon-soda.

so, for the variable L, the total amount of punch, the total amount of grape juice is 0.6 L
and the amount of lemon soda in the punch is 0.4L

Part B.

For L=2, we substitute and get:

0.6 L=0.6 * 2 liters = 1.2 liters of grape juice

0.4 L = 0.4 * 2 liters = 0.8 liters of lemon soda.

5 0

4 years ago