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3 years ago

9

There is a child that weighs 90 pounds and every time he eats pizza he gains 5 pounds every week if he ate pizza for 3 weeks how

much will he weigh
If she does it 5th time she will gain 11%

1 answer:

vladimir2022 [97]3 years ago

7 0

Answer: 105

Step-by-step explanation: 90+5+5+5

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1. Which ray is a bisector of BC<br> BD<br> BA<br> BF<br> 2. What is GH? <br> 5<br> 10<br> 15<br> 25<br> 3. What is the value of

zhenek [66]

<span>1. BD
2. 15
3. y=2
4. </span><span>Angle(DBE)
5. 47

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3 0

3 years ago

Given that cot θ = 1/√5, what is the value of (sec²θ - cosec²θ)/(sec²θ + cosec²θ) ?

Bogdan [553]

Step-by-step explanation:

$\mathsf{Given :\;\dfrac{{sec}^2\theta - co{sec}^2\theta}{{sec}^2\theta + co{sec}^2\theta}}$

$\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{{sec}\theta = \dfrac{1}{cos\theta}}}}$

$\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{co{sec}\theta = \dfrac{1}{sin\theta}}}}$

$\mathsf{\implies \dfrac{\dfrac{1}{cos^2\theta} - \dfrac{1}{sin^2\theta}}{\dfrac{1}{cos^2\theta} + \dfrac{1}{sin^2\theta}}}$

$\mathsf{\implies \dfrac{\dfrac{sin^2\theta - cos^2\theta}{sin^2\theta.cos^2\theta}}{\dfrac{sin^2\theta + cos^2\theta}{sin^2\theta.cos^2\theta}}}$

$\mathsf{\implies \dfrac{sin^2\theta - cos^2\theta}{sin^2\theta + cos^2\theta}}$

Taking sin²θ common in both numerator & denominator, We get :

$\mathsf{\implies \dfrac{sin^2\theta\left(1 - \dfrac{cos^2\theta}{sin^2\theta}\right)}{sin^2\theta\left(1 + \dfrac{cos^2\theta}{sin^2\theta}\right)}}$

$\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{cot\theta = \dfrac{cos\theta}{sin\theta}}}}$

$\mathsf{\implies \dfrac{1 -cot^2\theta}{1 + cot^2\theta}}$

$\mathsf{Given :\;cot\theta = \dfrac{1}{\sqrt{5}}}$

$\mathsf{\implies \dfrac{1 - \left(\dfrac{1}{\sqrt{5}}\right)^2}{1 + \left(\dfrac{1}{\sqrt{5}}\right)^2}}$

$\mathsf{\implies \dfrac{1 - \dfrac{1}{5}}{1 + \dfrac{1}{5}}}$

$\mathsf{\implies \dfrac{\dfrac{5 - 1}{5}}{\dfrac{5 + 1}{5}}}$

$\mathsf{\implies \dfrac{5 - 1}{5 + 1}}$

$\mathsf{\implies \dfrac{4}{6}}$

$\mathsf{\implies \dfrac{2}{3}}$

<u>Hence</u><u>,</u><u> option</u><u> </u><u>(</u><u>a)</u><u> </u><u>2</u><u>/</u><u>3</u><u> </u><u>is </u><u>your</u><u> </u><u>correct</u><u> </u><u>answer</u><u>.</u>

3 0

2 years ago

30 PTS HELP ME ASAP! PLEASE! IM TIRED AND NEED HELP!

almond37 [142]

Answer:

Step-by-step explanation:

Slope is an average. In this particular context, the slope of 6.9 (or 7) means that an average of 7 people entered the store every hour.

If x is the number of hours the store is open and we are told to find the number of customers that have entered the store after 5 hours, we fill in the equation as follows:

y = 7(5) + 10 and

y = 35 + 10 so

y = 45.

If you use 6.9 instead of 7:

y = 6.9(5) + 10 and

y = 34.5 + 10 so

y = 45.5

Since you can't count a half of a person, using 7 instead of 6.9 makes more sense.

4 0

2 years ago

What is the value of x in the equation below?

zubka84 [21]

First you multiply 6(x) then you multiple 6(8)

Your equation should now look like this: 6x-48=72

Subtract 48 from both sides

Your equation should now look like 6x=120

Divide by 6

Answer is 20

7 0

2 years ago

For what value of k will k+9,2k-1 and 2k+7 are the consecutive terms of an A.P

Stolb23 [73]

k = 18

the common difference d of an arithmetic sequence is

d = a₂ - a₁ = a₃ - a₂ = ....

a₂ - a₁ = 2k - 1 - k - 9 = k - 10 and

a₃ - a₂ = 2k + 7 - (2k - 1) = 2k + 7 - 2k + 1 = 8, hence

k - 10 = 8 ⇒ k = 8 + 10 = 18

the 3 consecutive terms are

27, 35, 43

8 0

3 years ago