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2 years ago

I need to find both of the solutions to the equation 100+(n-2)^ = 149

Mathematics

1 answer:

rodikova [14]2 years ago

5 0

Answer:

Step-by-step explanation:

hello :

100+(n-2)² = 149

100-100+(n-2)² = 149-100

(n-2)² = 49

(n-2)² - 49 =0 but 49=7²

(n-2)² - 7² =0 use identity : a²-b²=(a-b)(a+b)

(n-2-7)(n-2+7)=0

(n-9)(n+5)=0

n-9=0 or n+5=0

n=9 or n=-5

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2 years ago

∠A and ∠B are complementary angles of right triangle ABC, cos A = 0.83, and cos B = 0.55. What is sin A + sin B?

sergiy2304 [10]

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1 year ago

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1 year ago

Aubrey's dinner cost \$85$85dollar sign, 85. She tips the waitstaff 30\%30%30, percent for excellent service.

KATRIN_1 [288]

<h3><u>Question:</u></h3>

Aubrey's dinner cost $85 . She tips the waitstaff 30% for excellent service. How much does Aubrey tip the waitstaff?

<h3><u>Answer:</u></h3>

Aubrey paid $ 25.5 to the wait staff

<h3><u>Solution:</u></h3>

Given that, Aubrey's dinner cost $ 85

She tips the waitstaff 30% for excellent service

We have to find the amount paid as tip to wait staff

Cost = $ 85

Tip = 30 %

So the tip amount paid is 30 % of 85

$Tip\ Amount = 30 \% \times 85\\\\Tip\ Amount = \frac{30}{100} \times 85\\\\Tip\ Amount = 0.30 \times 85\\\\Tip\ Amount = 25.5$

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4 0

1 year ago

1/4 of the roses are red, 1/3 of the remainder are yellow and the rest are pink. There are 24 more pink roses than red roses. Ho

Alika [10]

<h3>There are 96 roses altogether</h3>

<em><u>Solution:</u></em>

Let "x" be the number of roses

From given,

<em><u>1/4 of the roses are red</u></em>

$Red\ roses = \frac{1}{4} \times x\\\\Red\ roses = \frac{x}{4}$

<em><u>1/3 of the remainder are yellow</u></em>

$Remaining = x - \frac{x}{4}\\\\Remaining = \frac{3x}{4}$

Therefore,

$Yellow\ roses = \frac{1}{3} \times \frac{3x}{4}\\\\Yellow\ roses = \frac{x}{4}$

$Remaining = \frac{3x}{4} - \frac{x}{4}\\\\Remaining = \frac{2x}{4}\\\\Remaining = \frac{x}{2}$

Therefore,

$Pink\ Roses = \frac{x}{2}$

There are 24 more pink roses than red roses

Therefore,

Number of pink roses = 24 + red roses

$\frac{x}{2} = 24 + \frac{x}{4}\\\\\frac{x}{2} - \frac{x}{4} = 24\\\\\frac{x}{4} = 24\\\\x = 24 \times 4\\\\x = 96$

Thus there are 96 roses altogether

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2 years ago