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3 years ago

What is the value of a?

Mathematics

1 answer:

Annette [7]3 years ago

8 0

Answer:

Step-by-step explanation:

Look at the picture.

The formula of an area of a trapezoid is:

$A=\dfrac{b_1+b_2}{2}\cdot h$

$b_1,\ b_2$ - bases

$h$ - height

We have:

$A=128,\ b_1=a+2,\ b_2=a-2,\ h=8$

Substitute:

$128=\dfrac{a+2+a-2}{2}\cdot8\\\\128=\dfrac{2a}{2}\cdot8$

$128=8a$ <em>divide both sides by 8</em>

$16=a\to a=16$

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Fiona has 212 stickers to put in her sticker book. Each page holds 18 stickers. How many pages does Fiona need for all of her st

iVinArrow [24]

Answer:

Step-by-step explanation:

18 stickers------1 page

212 stickers------x pages

For this we can write equation like that:

18*X = 212*1

18x=212

X=11.7777= It means Fiona needs 12 pages for using all these stickes.

4 0

4 years ago

While visiting Crimson Lake, Sally decided to go Kayaking. The rangers charge $8.50 per hour in addition to a $25.00 deposit to

tiny-mole [99]

Answer:

Step-by-step explanation:

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3 years ago

An archer hits the center of the target (the bullseye) 70 percent of the time. However, she is a streak shooter, and if she hits

laiz [17]

Answer:

0.595

Step-by-step explanation:

We are given that An archer hits centre of the target

We have to calculate the probability that she will hit the centre of the target on two consecutive shots.

P(A)=P(B)=0.70

P(B/A)=0.85

We know tha formula

$P(B/A)=\frac{P(A\cap B)}{P(A)}$

Substitute the value then we get

$P(A\cap B)=P(B/A)\cdot P(A)=0.85\times 0.70=0.595$

Hence, the probability that she will hit the centre of the target on two consecutive shots=0.595

3 0

3 years ago

24 is 16% of what number Explain how you got your answer)

Lemur [1.5K]

My teacher always taught me to set these problems up like a proportion

is / of = % / 100

24/ x = 16 / 100

16x = 2,400

Divide 2,400 by 16 and you get 150.

150 is the correct answer.

6 0

3 years ago

Previous studies have reported that elite athletes are often deficient in their nutritional intake (for example, total calories,

Naddik [55]

Answer:

(3138.29, 3705.11)

Step-by-step explanation:

Given that for sample size of n = 50 male athletes from eight Canadian sport centers surveyed, the average caloric intake was 3077.0 kilocalories/day with a sample standard deviation of 987.0.

The recommended amount = 3421.70

To construct 95% confidence interval

Since population std deviation is not known we use t critical value for degree of freedom 50-1 =49

t critical = 2.010

Hence margin of error = $2.010*\frac{987}{\sqrt{50-1} } \\=283.41$

Confidence interval lower bound = $3421.70-283.41\\=3138.29$

Confidence interval upper bound = $3421.70+283.41\\=3705.11$

Conf interval = $(3138.29, 3705.11)$

7 0

4 years ago