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2 years ago

Find the value of x in the isosceles triangle shown below

Mathematics

1 answer:

melisa1 [442]2 years ago

5 0

Answer:

22.18 = x

Step-by-step explanation:

a^2 + (b)^2 = (x/2)^2

a = sqrt(74)

b = 7

x/2 = ?

(74)[^1/2]^2 = 74

b^2 = 7^2 = 49

74 + 49 = (x/2)^2 Substitute into a^2 + b^2 = c^2

123 = (x/2)^2 Combine like terms

(123^0.5) = x/2 Take the square root of both sides.

11.09 = x/2 Multiply both sides by 2

11.09*2 = x

22.18 = x The full length of the base of the triangle is 22.18

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What is the minimum number of triangles required to construct a 10 sided polygon

kupik [55]

10 Triangles fit inside a Decagon

Hope it helps :)

5 0

3 years ago

Debby pays rent twice a year, buys groceries once every quarter, and buys a transit pass

Natasha2012 [34]

<h3>Answer: 2x+4y+12z (choice B)</h3>

Work Shown:

x = amount of rent paid per half year

2x = amount of rent paid annually

y = amount spent on groceries per quarter

4y = amount spent on groceries annually

z = amount spent on a transit pass monthly

12z = amount spent on transit pass annually

2x+4y+12z = total amount of money spent annually

8 0

3 years ago

After a college football team once again lost a game to their archrival, the alumni association conducted a survey to see if alu

valentina_108 [34]

Answer:

P-value for this hypothesis test is 0.00175.

Step-by-step explanation:

We are given that the alumni association conducted a survey to see if alumni were in favor of firing the coach.

A simple random sample of 100 alumni from the population of all living alumni was taken. Sixty-four of the alumni in the sample were in favor of firing the coach.

Let p = proportion of all living alumni who favored firing the coach

SO, Null Hypothesis, $H_0$ : p = 0.50 {means that the majority of alumni are not in favor of firing the coach}

Alternate Hypothesis, $H_A$ : p > 0.50 {means that the majority of alumni are in favor of firing the coach}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of the alumni in the sample who were in favor of firing the coach = $\frac{64}{100}$ = 0.64

n = sample of alumni = 100

So, test statistics = $\frac{0.64-0.50}{{\sqrt{\frac{0.64(1-0.64)}{100} } } } }$

= 2.92

Now, P-value of the hypothesis test is given by ;

P-value = P(Z > 2.92) = 1 - P(Z $\leq$ 2.92)

= 1 - 0.99825 = 0.00175

Therefore, the P-value for this hypothesis test is 0.00175.

4 0

3 years ago

If the point (1, 5) lies on a circle whose center is at the origin, what is the equation of the circle?

makkiz [27]

In this case just change the variables by the numbers. (1,5)
x=1 y=5
1^2 + 5^2 = 26
1+25=26
26=26 *this one is the answer...
TRUE

x2 + y2 = 16
1^2 + 5^2=16
1+25=16
26=16
False

x2 + y2 = 13
1^2 + 5^2=13
1+25=13
26=13
False

x2 + y2 = 11
1^2 + 5^2=11
1+25=11
26=11
False

So we can say that the first one is the answer.

3 0

3 years ago

Please help with A. and B.

MrRissso [65]

Brianna's equation: y = 2x + 15

Kayla's equation: y = 3x + 10

x Brianna (y) Kayla (y)

0 15 10

1 17 13

2 19 16

-1 13 7

-2 11 4

8 0

3 years ago

Find the value of x in the isosceles triangle shown below​

Find the value of x in the isosceles triangle shown below