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EastWind [94]
3 years ago
6

Use the image of the triangle to answer the question

Mathematics
2 answers:
stira [4]3 years ago
5 0
\cos (\theta) =  \dfrac{adj}{hyp}

\cos (39) =  \dfrac{x}{17}

x= 17\cos (39)

x= 13.2 \text { m}
kherson [118]3 years ago
4 0
So you would do cos(39) times 17.
x= cos(39)*17
x= .777*17
x= 13.21
And since it says round to the nearest tenth, you would put 13.2 m for the answer.
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Two rectangles have the same width. The length of one is 2 feet longer than the width. The length of the other is 4 feet longer
qaws [65]
<span>Area of smaller=4*5=20 sq ft 
Area of larger=4*6=24 sq ft 
Larger is 4 more than smaller</span>
7 0
4 years ago
Express 429 as a product of its prime factors​
lawyer [7]

Answer:

The answer is 429 = 3×11×13.

Step-by-step explanation:

You have to divide by prime number :

429 ÷ 3 = 143

143 ÷ 11 = 13

13 ÷ 13 = 1

8 0
3 years ago
Read 2 more answers
Find the volume of each ball. use the formula. where v is the volume and r is the radius. record the volume in table A of your s
pochemuha

Answer:

The volume of tennis ball = 38.808 cm^{3}.

                          Volume of golf ball = 33.523 cm^{3}.


Step-by-step explanation:

Given: The radius of the tennis ball is 2.1cm and the radius of thr golf ball is 2.0cm. the formula is V=4πr(to the 3rd power) /3 .

To find: Volume of tennis ball and golf ball .

Formula used: Volume = \frac{4 π r^{3} }{3} .

 pi(π) = \frac{22}{7} .

Explanation : We are given that

                     Radius of the tennis ball = 2.1 cm

                    radius  of the golf ball =2.0 cm.

We need to find the volume of each ball

So , plugging the given values of radius in above formula

Volume of the tennis =\frac{4*22(2.1)^{3} }{3*7}

On simplification we get, volume of tennis ball = 38.808 cm^{3}

Volume of the golf ball=\frac{4*22(2.0)^{3} }{3*7}

On simplification we get, volume of golf ball = 33.523 cm^{3}

Therefore , The volume of tennis ball = 38.808 cm^{3}.

                          Volume of golf ball = 33.523 cm^{3}.


7 0
3 years ago
Read 2 more answers
What is the value of this expression?<br><br> 3+2×(8−5)+6
11111nata11111 [884]

We conclude that the expression is equal to 15.

<h3>How to find the value of the expression?</h3>

Here we have the expression:

3 + 2*(8 - 5) + 6

We start by solving the parenthesis, 8 - 5 = 3, then we get:

3 + 2*3 + 6

Now we solve the product: 2*3 = 6, then we get:

3 + 6 +  6

Now we can directly solve that addition:

3 + 6 + 6 = 3 + 12 = 15

We conclude that the expression is equal to 15.

If you want to learn more about algebraic expressions:

brainly.com/question/4344214

#SPJ1

8 0
2 years ago
Some shrubs have the useful ability to resprout from their roots after their tops are destroyed. Fire is a particular threat to
anyanavicka [17]

Answer:

The 99.5% confidence interval for the proportion of all shrubs of this species that will resprout after fire is (0, 0.5745).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 18, \pi = \frac{5}{18} = 0.2778

99.5% confidence level

So \alpha = 0.005, z is the value of Z that has a pvalue of 1 - \frac{0.005}{2} = 0.9975, so Z = 2.81.  

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2778 - 2.81\sqrt{\frac{0.2778*0.7222}{18}} = -0.01 = 0

We cannot have a negative proportion, so we use 0.

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2778 + 2.81\sqrt{\frac{0.2778*0.7222}{18}} = 0.5745

The 99.5% confidence interval for the proportion of all shrubs of this species that will resprout after fire is (0, 0.5745).

3 0
3 years ago
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