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3 years ago

7

A 40 meter ladder makes an angle of 32° with the playground. How far is the bottom of the ladder from the base of the playground

? Round to the nearest meter. Make sure to include appropriate units.

1 answer:

postnew [5]3 years ago

4 0

Answer:

33.9 m

Step-by-step explanation:

cos(32) = adjacent/hypotenuse

cos(32) = X/40

X = 40cos(32)

X = 33.92192385 m

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Solve the rational equation 5/x = 4x+1/x^2

Irina18 [472]

Answer:

x = 1

Step-by-step explanation:

Set up the rational expression with the same denominator over the entire equation.

Since the expression on each side of the equation has the same denominator, the numerators must be equal

5x =4x+1

Move all terms containing x to the left side of the equation.

Hope this can help you

7 0

3 years ago

What three numbers come next 2.4, 3.2, 4.0, 4.8...

alexira [117]

2.4 + 8=3.2 +8=4.0+8=4.8+8= 5.6 that's the answer

7 0

3 years ago

Read 2 more answers

on a test, a student answered 12 questions correctly. this number represents 80% of the total number of questions were on the te

barxatty [35]

Answer:

Step-by-step explanation:So if he or she answered 12 right and got 80% then if you count to 100% at should be 14 questions I think if i am wrong sorry

12=80%

13=90%

14=100%

6 0

3 years ago

A sample of 100 people is classified by gender (male/female) and by whether they are registered voters. The sample consists of 8

uysha [10]

Answer:

12

Step-by-step explanation:

Given :

Male Female Total

Registered 60

Non registered 40

Total 20 80

Solution :

N= 100

Formula of expected frequency = $E_{ij}=\frac{T_i \times T_j}{N}$

$E_{ij}$ = expected frequency for the ith row/jth columm.

$T_i$ = total in the ith row

$T_j$ = total in the jth column

N = table grand total.

So, using formula $E_{11}=\frac{T_1 \times T_1}{100}$

$E_{11}=\frac{60 \times 20}{100}$

$E_{11}=12$

$E_{12}=\frac{T_1 \times T_2}{100}$

$E_{12}=\frac{60 \times 80}{100}$

$E_{12}=48$

$E_{21}=\frac{T_2 \times T_1}{100}$

$E_{21}=\frac{40 \times 20}{100}$

$E_{21}=8$

$E_{22}=\frac{T_2 \times T_2}{100}$

$E_{22]=\frac{80 \times 40}{100}$

$E_{22}=32$

Expected frequency table

Male Female Total

Registered 12 48 60

Non registered 8 32 40

Total 20 80

So, the expected frequency for males who are registered voters are $E_{11}=12$

5 0

3 years ago

A company has two manufacturing plants with daily production levels of 5x + 11 items and 2x - 3 items, respectively. The first p

Brrunno [24]

Answer:

3x + 14 items

Step-by-step explanation:

First plant produces 5x + 11 items

Second plant produces 2x - 3 items

First plant production - second plant production = 5x + 11 - (2x - 3)

5x + 11 - 2x + 3 = 3x + 14 items

8 0

2 years ago