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Tamiku [17]
3 years ago
7

Triangle ABC is a right triangle. The legs of the triangle are AB = 6 cm and BC = 12 cm. Find the measure of angle A.

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
8 0

Answer:

63.4°

Step-by-step explanation:

Given that AB and BC are the legs of the right triangle, then opposite to angle A is side BC and adjacent to angle A is side AB.

By definition, the tangent of angle A is:

tan(∠A) = opposite leg / adjacent leg

tan(∠A) = BC/AB

tan(∠A) = 12/6

∠A = arctan(2)

∠A = 63.4°

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A roll of quarters is shaped like a cylinder and contains 40 each quarter has a thickness of 1.75 and a diameter of 24.26 mm Wha
jarptica [38.1K]

Answer:

D) 32,357mm^3

Step-by-step explanation:

Given

Quarters = 40

Thickness = 1.75mm

diameter = 24.26mm

First, we calculate the volume of 1 roll.

The volume of the cylinder is:

V = \pi r^2h

Where

r = \frac{1}{2} * diameter

r = \frac{1}{2} * 24.26mm

r = 12.13mm

And the thickness represents the height.

So:

The volume is:

V = 3.142 * 12.13^2 * 1.75

V = 809.03mm^3

The volume of the 40 is:

Roll= 40 * 809.03mm^3

Roll=32361.20mm^3

The closest option is (d):

7 0
3 years ago
Which of these expressions requires a variable?
Tatiana [17]
D. there is no numbers to work with so you just have to use a variable
7 0
2 years ago
LM=9, NR=16, SR=8. Find the perimeter of △SMP.
Amanda [17]

Answer:

<h2>perimeter of △SMP = 25</h2>

Step-by-step explanation:

The perimeter of the triangle △SMP is the sum of al the sides of the triangle.

Perimeter of △SMP = ||MS|| + ||MP|| + ||SP||

Note that the triangle △LRN, △LSM, △MPN and △SRP are all scalene triangles showing that their sides are different.

Given LM=9, NR=16 and SR=8

NR = NP+PR

Since NP = PR

NR = NP+NP

NR =2NP

NP = NR/2 = 16/2

NP = 8

From △LSM,  NP = PR = <u>MS</u><u> = 8</u>

Also since LM = MN, MN = 9

From △SRP, SR = RP = <u>PS =  9</u>

Also SR =<u> MP = 8</u>

From the equation above, perimeter of △SMP = ||MS|| + ||MP|| + ||SP||

perimeter of △SMP = 8+8+9

perimeter of △SMP = 25

5 0
3 years ago
What is a fraction of 0.25
skad [1K]
Well If your trying to turn it into a decimal the answer would be .25 but if you want it as a fraction the answer is 100 over 25. Hope I helped!

-Amber
7 0
3 years ago
Read 2 more answers
Help if you know how to do this- brainliestt
Gwar [14]

Answer:

95.5°F

Step-by-step explanation:

Given the regression equation :

y = 1.8x - 76.9 ; the relationship between temperature (°F) and number of ice cream sold

y = number of ice cream sold

x = temperature (°F)

The temperature when 95 iccream cones are sold will be ;

Here, y = 95

Using the model :

95 = 1.8x - 76.9

95 + 76.9 = 1.8x

171.9 = 1.8x

Divide both sides by 1.8

171.9 / 1.8 = x

95.5°F = x

Hence, temperature when 95 cones of ice-cream are sold is 95.5°F

8 0
2 years ago
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