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2 years ago

Sun shades are sold in the shape of right

Mathematics

2 answers:

blagie [28]2 years ago

7 0

Answer:

Y=1/2x^2 and y=64 (option B)

dsp732 years ago

6 0

Answer:

The lengths of the legs of the sun shade are $8\sqrt{2}\ ft$

Step-by-step explanation:

we know that

An isosceles triangle has two equal sides

Let

x -----> the length side of a leg of right isosceles triangle

y ----> the area of a right isosceles triangle

Remember that in an right isosceles triangle the legs are equal

The area is equal to

$y=\frac{1}{2}(x)(x)$

$y=\frac{1}{2}x^2$

we have that

$y=64\ ft^2$

substitute

$64=\frac{1}{2}x^2$

solve for x

Multiply by 2 both sides to remove the fraction

$128=x^2$

take the square root both sides

$x=\sqrt{128}\ ft$

simplify

$x=8\sqrt{2}\ ft$

You might be interested in

"Immediately after a ban on using hand-held cell phones while driving was implemented, compliance with the law was measured. A r

sergiy2304 [10]

Answer:

(a) Null Hypothesis, $H_0$ : $p_1-p_2=0$ or $p_1= p_2$

Alternate Hypothesis, $H_A$ : $p_1-p_2\neq 0$ or $p_1\neq p_2$

(b) We conclude that there is a statistical difference in these two proportions measured initially and then one year later.

Step-by-step explanation:

We are given that a random sample of 1,250 drivers found that 98.9% were in compliance. A year after the implementation, compliance was again measured to see if compliance was the same (or not) as previously measured.

A different random sample of 1,100 drivers found 96.9% compliance."

Let $p_1$ = proportion of drivers that were in compliance initially

$p_2$ = proportion of drivers that were in compliance one year later

(a) Null Hypothesis, $H_0$ : $p_1-p_2=0$ or $p_1= p_2$ {means that there is not any statistical difference in these two proportions measured initially and then one year later}

Alternate Hypothesis, $H_A$ : $p_1-p_2\neq 0$ or $p_1\neq p_2$ {means that there is a statistical difference in these two proportions measured initially and then one year later}

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

T.S. = $\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{ \frac{\hat p_1(1-\hat p_1)}{n_1} + \frac{\hat p_2(1-\hat p_2)}{n_2}} }$ ~ N(0,1)

where, $\hat p_1$ = sample proportion of drivers in compliance initially = 98.9%

$\hat p_2$ = sample proportion of drivers in compliance one year later = 96.9%

$n_1$ = sample of drivers initially = 1,250

$n_2$ = sample of drivers one year later = 1,100

(b) So, the test statistics = $\frac{(0.989-0.969)-(0)}{\sqrt{ \frac{0.989(1-0.989)}{1,250} + \frac{0.969(1-0.969)}{1,100}} }$

= 3.33

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

P-value = P(Z > 3.33) = 1 - P(Z $\leq$ 3.33)

= 1 - 0.99957 = 0.00043

Since in the question we are not given with the level of significance so we assume it to be 5%. Now at 5% significance level, the z table gives critical values between -1.96 and 1.96 for two-tailed test.

Since our test statistics does not lies within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that there is a statistical difference in these two proportions measured initially and then one year later.

7 0

2 years ago

Identify the 12th term of the geometric sequence in which a2 = −6 and a6 = −96

timurjin [86]

$a_2=-6;\ a_6=-96\\\\a_6:a_2=r^4\\\\r^4=-96:(-6)\\\\r^4=16\\\\r=\sqrt[4]{16}\\\\r=2\\\\a_{12}=a_6r^6\\\\a_{12}=-96\cdot2^6=-96\cdot64=-6,144$

6 0

2 years ago

Read 2 more answers

What is the equation of the line described below written in slope-intercept form?

Bas_tet [7]

The answer is A

fidnjrjfbdjd

7 0

2 years ago

The dolphins at the sea aquarium are fed 2 1/3 buckets of fish each day. The walruses are fed 5 times as much fish as the dolphi

bezimeni [28]

Answer:3

Step-by-step explanation:

5 0

2 years ago

Which expression is equivalent to 4 sqrt 24x^6y/128x^4y^5

Stels [109]

The first step for finding out if the expression provided is equivalent to $\sqrt{4}$ is to reduce the fraction with $x^{4}$ .
$\frac{24 x^{2} y}{128 y^{5} }$
Now reduce the fraction with y.
$\frac{24 x^{2} }{128 y^{4} }$
Finally,, reduce the fraction with 8 to get your final answer.
$\frac{3 x^{2} }{16 y^{4} }$
Let me know if you have any further questions.
:)

5 0

2 years ago