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4 years ago

A right triangle has a 35 degree angle. The

Mathematics

1 answer:

Vikki [24]4 years ago

4 0

Answer:

The answer to your question is 20.92 m

Step-by-step explanation:

Data

m∠A = 35°

Opposite leg = 12 m

hypotenuse = ?

Process

To solve this problem use trigonometric functions. We must look for a trigonometric function that relates the Opposite side and the hypotenuse.

sin Ф = Opposite side /hypotenuse

cosФ = Adjacent side/ hypotenuse

tan Ф = Opposite side/hypotenuse

The trigonometric function that relates the Opposite side and the hypotenuse is sine.

-Solve for hypotenuse

hypotenuse = Opposite side / sin Ф

-Substitution

hypotenuse = 12 / sin 35

-Simplification

hypotenuse = 12/0.57

-Result

hypotenuse = 20.92 m

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An experienced teacher writes an exam so that, on average, about 5% of students will earn an A grade. If she has 50 students in

guapka [62]

Answer:

$P(x\geq 1) = 0.923$

Step-by-step explanation:

From the question we are told that:

Percentage of student to get A $P(A)=\%5=0.05$

Sample size $n=50$

Generally Number of student to get A is

$N_a=n*P(A)$

$N_a=50*0.05$

$N_a=2.5$

Therefore

Probability that one student gets an A grade is mathematically by

$^nPC_xP^x(1-P)^{n-x}$

$P(x\geq 1)=1-P(x$

$P(x\geq 1) =1-P(x=0)$

$P(x\geq 1) =^50C_0(0.05)^0(0.95)^50$

$P(x\geq 1) = 0.923$

3 0

3 years ago

Identify the property used in the first 5 steps to solve the equation 2(x-5)-6x=-22

tekilochka [14]

$2(x-5)-6x=22$ ⇒ We start by multiplying out the bracket and this property is called DISTRIBUTIVE property

$2x-10-6x=-22$ ⇒ from here the next step is simplifying by collecting like terms

$2x-6x-10=-22$ ⇒ The simplifying process is the application of COMMUTATIVE property since this property allows us to 'group' the like terms together. In other words, this property allows us to move the $-6x$ next to the $2x$ .

$(2-6)x-10=-22$ ⇒ This what actually happened when we simplify $2x-6x$ , we work out the sum of $(2-6)$ and the answer is multiplied back to $x$ . This is called the ASSOCIATIVE property as we 'associating' the constant of the like terms.

$-8x-10=-22$ ⇒ Adding 10 on both sides to eliminate $-10$ on the left hand side of equation

$-8x=-22+10$
$-8x=-12$
$x= \frac{-12}{-8}= \frac{3}{2}=1.5$

Hence, the steps are

STEP 1
STEP 4
STEP 2
STEP 3
STEP 5

5 0

4 years ago

15. You have $200 in a savings account. Each week for 8 weeks, you take

Andrej [43]

Answer:

$66

Step-by-step explanation:

T=200-18W

where W is number of weeks

T=200-18(8)

T=200-144

T=66

4 0

3 years ago

What are common multiples of 3 and 5

wlad13 [49]

15,30,45,60,90 are the common múltiples

7 0

4 years ago

Use summation notation to write the series for five terms

strojnjashka [21]

Answer:

$\large\boxed{\sum\limits_{n=1}^5(-2.2+8.8n)}$

Step-by-step explanation:

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5 0

3 years ago