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MakcuM [25]
3 years ago
15

Solve the right triangle. round your answers to the nearest tenth. help.

Mathematics
1 answer:
hammer [34]3 years ago
8 0

Answer:

19.2

Step-by-step explanation:

Cosine rule :

\sqrt{a^{2} +b^{2} ﹣2abcos(angle ) }

c will always be the hypotenuse.

a and b can be any if the opposite or the adjacent.

{15}^{2}  + 12^{2}  - 2 \times 15 \times 12 \times  \cos(90)  = 369

\sqrt{369}=19.20937...

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You are ordering a hamburger and can get up to 7 toppings, but each topping can only be used once. You tell the cashier to surpr
natima [27]

Answer:

Probability, P(getting 2 toppings)= 0.1984

Step-by-step explanation:

Probability, P(1 toppings)= 1/7

Probability P of getting a particular topping is q = 1 - P = 1 - 1/7 = 6/7

Probability of( getting 2 toppings)= 7!/(2!5!)(1/7)^2 × (6/7)^5

P(getting 2 toopings)= (5040/240) × (0.020)× (0.4627)

P(getting 2 toppings)= 21 × 0.00948 = 0.1984

6 0
3 years ago
Find the length of LM if L is the midpoint of NM. NL = 3x + 1, LM = 8x - 24.
SashulF [63]

Answer:

LM = 16

Step-by-step explanation:

From the question given:

L is the midpoint of NM

NL = 3x + 1

LM = 8x - 24

LM =?

Next, we shall determine the value of x.

This can be obtained as follow:

Since L is the midpoint of NM, it means that NL and LM are equal i.e

NL = LM

Thus, we can obtain the value of x as follow:

NL = 3x + 1

LM = 8x - 24

NL = LM

3x + 1 = 8x - 24

Collect like terms

3x - 8x = - 24 - 1

-5x = - 25

Divide both side by - 5

x = -25/-5

x = 5

Finally, we shall determine the length of LM as follow:

LM = 8x - 24

x = 5

LM = 8(5) - 24

LM = 40 - 24

LM = 16

Therefore, the length of LM is 16

8 0
3 years ago
How do you do this?
Alenkasestr [34]

Answer:

by increasing the size ez

4 0
3 years ago
F(x)=bx^2+32 For the function f defined above, b is a constant and f(2)=40. What is the value of f(-2)?
zhuklara [117]

Answer:

f(-2) = 0

Step-by-step explanation:

Given that:

f(x) = bx^2 + 32

f(2) = b(2)^2 + 32

f(2) = 4b + 32

f(2) = 4b = -32

f(2) = b = -32/4

f(2) = b = -8

Thus;

f(-2) = -8(-2)^2 + 32

f(-2) = -8(4) + 32

f(-2) = -32 + 32

f(-2) = 0

6 0
3 years ago
Read 2 more answers
A satellite flies 55584 miles in <br> 7.72 hours. How many miles has it flown in 23.19 hours?
dedylja [7]

Answer:

Miles flown in 23.19 hours = 166968 miles

Step-by-step explanation:

Given that:

A satellite flies 55584 miles in 7.72 hours

We will find the unit rate first,

Unit rate = \frac{55584}{7.72}

Unit rate = 7200 miles per hour

Miles flown in 23.19 hours,

Miles flown = 7200 * 23.19

Miles flown = 166968 miles

Hence,

Miles flown in 23.19 hours = 166968 miles

5 0
3 years ago
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