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3 years ago

7 45° X Find the value of x . Write your answer in simplest form.

Mathematics

1 answer:

Masja [62]3 years ago

5 0

Answer:

7√2

Step-by-step explanation:

From the diagram given;

Hypotenuse = x

Opposite = 7

Angle = 45 degrees

According to SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin 45 = 7/x

x = 7/sin45

x = 7/1/√2

x = 7 * √2/1

x = 7√2

Hence the value of x is 7√2

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Sixty seven percent of the employees in a company have managerial positions, and 58 percent of the employees in the company have

Kazeer [188]

Answer: The proportion of employees who either have MBAs or are managers are 0.58.

Step-by-step explanation:

Since we have given that

Probability of employees having managerial positions = 67%

Probability of employees having MBA degrees = 58%

Probability of managers having MBA degrees = 67%

So, using probability formulas, we get that

$P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\P(A\cup B)=0.67+0.58-0.67\\\\P(A\cup B)=0.58$

Hence, the proportion of employees who either have MBAs or are managers are 0.58.

7 0

3 years ago

Find the surface area of the cube shown below. units 2 2 squared

ruslelena [56]

The surface area of the cube with a side length of 2 units is 24 units squared

<h3>How to determine the surface area?</h3>

The side length of the cube is given as:

l = 2

The surface area is calculated as:

Surface area = 6l^2

This gives

Surface area = 6 *2^2

Evaluate

Surface area = 24

Hence, the surface area of the cube is 24 unit squared

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7 0

2 years ago

!!!!!!!A dress pattern uses the scale 2 inches : 1 foot.if the model is 12 inches long how long is the dress!!!!!!pls Hurry

Hitman42 [59]

Using the scale ratio, the length of the dress is: 6 ft.

<h3>How to Apply Scale to Measurement?</h3>

Given a scale for the dress pattern as, 2 inches : 1 foot, it means 2 inches of the model equals 1 foot of the actual dress.

Therefore, using the scale ratio, let x represent the length of the dress. We would have:

2/1 = 12/x

x = (12 × 1)/2

x = 6 ft.

The length of the dress is: 6 ft.

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2 years ago

Use the function below to find f(-4)

Anastaziya [24]

Answer:

B. 1/16

Step-by-step explanation:

f(-4) = 2^(-4) = 1/(2^4) = 1/16

3 0

3 years ago

The shape below contains a rectangle and four semi-circles. What is the perimeter of the shape above? What is the area of the sh

Colt1911 [192]

Answer:

Step-by-step explanation:

lets find out the perimeter P

P rectangle= 2*L+2*W=(2*5)+(2*13)=10+26=36

P small semi-circle ( we have 2), where the d=5, r=2.5

Circumference small circle=2*3.14*r= 2*3.14*2.5=15.70

P 2 small circles=15.70*2=31.40

but we need just half of this, because we have semicircles=15.70

Circumference big semicircle (we have 2), where d=13, r=6.5

C big circle=2*3.14*6.5=40.82

Ps big circle=2*40.82=81.64

we need half of this also, so is 40.82

P total figure=36+15.70+40.82=92.52

Area rectangle=5*13=65

Area small circle, basically the 2 semicircle = 1 circle

Area=3.14*r^2=3.14*2.5^2=19.63

Area big circle=3.14*6.5^2=132.73

Area total figure=65+19.63+132.73=217.36

5 0

3 years ago