Which number represents 4% 400 40 0.4 0.04

In ΔBCD, the measure of ∠D=90°, the measure of ∠C=77°, and CD = 41 feet. Find the length of BC to the nearest foot.

OLga [1]

Answer:

182 ft

Step-by-step explanation:

When you are not given a diagram, always draw one for yourself (see diagram).

When you have a right triangle (triangle with 90° angle), you can use the trigonometry ratios, You can remember them using SohCahToa. It is read like this:

sinθ = opposite/hypotenuse Soh

cosθ = adjacent/hypotenuse Cah

tanθ = opposite/adjacent Toa

"θ" means the angle of reference (the angle you are talking about).

We are looking for the length of BC, which is the hypotenuse. I labelled it "d" (lowercase D) because it is opposite to ∠D.

We know ∠C = 77°. This will be our angle of reference (replace θ).

The side we know is DC, also known as "b" (lowercase B) because it's opposite to ∠B. "b" is the adjacent side when θ = C because "b" is touching ∠C.

Take the general trig. formula that has hypotenuse and adjacent: (cosine ratio)

cosθ = adjacent/hypotenuse

Substitute the variables specific for this problem.

cosC = b/d

Substitute the values you know.

cos77° = (41 ft) / d

Isolate "d" to the left side

dcos77° = $d*\frac{41ft}{d}$ Multiply both sides by "d"

dcos77° = 41 ft

dcos77° / cos77° = 41 ft / cos77° Divide both sides by cos77°

d = 41 ft / cos77° Input into calculator

d = 182.261874....... ft Unrounded answer

d ≈ 182 ft Rounded to nearest foot (whole number)

Remember d = BC. It's often easier to use one letter for calculations.

Therefore the length of BC is about 182 feet.

8 0

3 years ago

Help me with this one.......

NemiM [27]

The rachos were sold are 6
because ratio of them at the begining = 3/4
after selling some popcorns, ratio of them still 3/4
they sold 8 popcorns mean 3/4 = ?rachos / 8popcorns sold
the rachos sold = 3*8/4 = 6

4 0

3 years ago

Look at the graph shown Which equation best represents the line?

Brilliant_brown [7]

$y=\frac{11}{4}x +4$ is the equation best represents the line.

Solution:

Take any two points on the line.

Let the points be (0, –4) and (4, 7).

$x_1=0,y_1=-4,x_2=4, y_2=7$

General form of equation of a line is y = mx + c

where m is the slope and c is the y-intercept of the line.

y-intercept is the point which line crosses at y-axis.

In the given line, y-intercept is 4.

c = 4

Slope of the line:

$$m=\frac{y_2-y_1}{x_2-x_1}$

$$m=\frac{7-(-4)}{4-0}$

$$m=\frac{11}{4}$

Equation of the line:

y = mx + c

$y=\frac{11}{4}x +4$

Hence $y=\frac{11}{4}x +4$ is the equation best represents the line.

5 0

3 years ago

Given the equation y = 2 x - 8, what is the slope and the y -intercept?

jeka94

Answer:

m=2 and b=-8

Step-by-step explanation:

This equation is organized in slope-intercept form, y=mx+b. In this form, m is the slope and b is the y-intercept.

When given the equation, y=2x-8, we can see that 2 is in the place of m and -8 is in the place of b. The reason the y-intercept isn't 8 is that y=2x-8 can be written as y=2x+(-8) since y=mx+b involves addition. Therefore, the slope is 2 and the y-intercept is -8.

m=2 and b=-8

I hope this helps!

4 0

3 years ago

Ericka and her two sisters divided 915 stickers equally. About how many stickers did each girl receive?

Musya8 [376]

It should be 35, if that is an answer choice.

4 0

3 years ago

Which number represents 4%400400.40.04​

Which number represents 4%400400.40.04