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2 years ago

Pls, help me with this problem.

Mathematics

1 answer:

Dmitry [639]2 years ago

7 0

The small table gets more pizza per person. when divided 10/4=2.5. 8/3=2.67.

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In triangleABC, angle B= 90 degrees, cos(C)=15/17 and AB = 16 what is the measure of Angle A, Angle C and angle AC

Sergeeva-Olga [200]

Answer:

m∠C=28°, m∠A=62°, AC=34.1 units

Step-by-step explanation:

Given In ΔABC, m∠B = 90°, , and AB = 16 units. we have to find m∠A, m∠C, and AC.

As, cos(C)={15}/{17}

⇒ angle C=cos^{-1}(\frac{15}{17})=28.07^{\circ}\sim28^{\circ}

By angle sum property of triangle,

m∠A+m∠B+m∠C=180°

⇒ m∠A+90°+28°=180°

⇒ m∠A=62°

Now, we have to find the length of AC

sin 28^{\circ}=\frac{AB}{AC}

⇒ AC=\frac{16}{sin 28^{\circ}}=34.1units

The length of AC is 34.1 units

3 0

3 years ago

Find the solution set. |x| = -4 A. { } B. {-2, 2} C. {-4, 4} D. {-16, 16}

Ray Of Light [21]

Answer:

A. { }

Step-by-step explanation:

Absolute value cannot be less than zero.

-4 < 0

There is no solution for x, ∈, R.

Hope this helps.

6 0

3 years ago

How many<br> roots does the relation y = 4x² - 20x + 25 have? (2 marks)

Dovator [93]

Answer:

it has one root x=2/5

Step-by-step explanation:

7 0

2 years ago

Researchers wondered if there was a difference between males and females in regard to some common annoyances. They asked a rando

Zinaida [17]

Answer:

Step-by-step explanation:

Males proportion $p_1 = \frac{163}{532} =0.3064$

Females proportion $p_2 = \frac{203}{589} =0.3447$

$H_0: p_1 = p_2\\H_a: p_1$

(one tailed test for comparison of proportions)

Test statistic = $\frac{p_1-p_2}{p(1-p)\sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }$

=-1.3641

Here p= combined proportion = $\frac{163+203}{532+589} \\=0.3291$

p value = 0.0869

Since p >0.05, accept null hypothesis.

The evidence does not suggest a higher proportion of females are annoyed by this behavior

3 0

3 years ago

Jenny has saved $3,800 over the last 12 months. She saved either $250 or $350 a month. During the 12 month period, how many time

Nana76 [90]

Answer:

Jenny save 4 times $\$ 250$ for the month

Step-by-step explanation:

Given Jenny has saved $\$3,800$ over the last 12 months.

She saved either $\$250$ or $\$350$ a month.

Let the number of months to save $\$250$ be x

Let the number of months to save $\$350$ be y

Total period is 12 month.

$x+y=12 \ \ \ \ equation\ 1$

Jenny has saved $3,800 over the last 12 months.

$250x+350y=3800$

Dividing both side from 50 we get,

$\frac{250}{50}x+\frac{350}{50}y= \frac{3800}{50}$

$5x+7y=76 \ \ \ \ equation\ 2$

Now Multiplying equation 1 by 5 we get,

$5\times(x+y)=5\times 12\\5x+5y=60\ \ \ \ equation \ 3$

Now Subtracting Equation 3 by equation 2 we get,

$(5x+7y=76)-(5x+5y=60)\\2y=16\\y=\frac{16}{2}= 8$

Substituting the value of y in equation 1 we get,

$x+y=12\\x+8=12\\x=12-8\\x=4$

∴ Jenny save 4 Months of $\$ 250$ and 8 Months of $\$ 350$ in a 12 month duration

4 0

3 years ago

Read 2 more answers