Eleven less than five times a number is twenty four?

Need help asap plss.

yanalaym [24]

Answer:

EF = 20 cm

Step-by-step explanation:

Here, we want to find the length of EF

To do this, we use the principle of similar triangles

The similar triangles we are considering here will be ;

FEA and FBD

when two triangles are similar, the ratio of their corresponding sides are equal

Let us calculate DC first

we can use Pythagoras’ theorem here and it is that the square of the hypotenuse equals the sum of the square of the two other sides

Using the triangle EDC

15^2 = 12^2 + DC^2

DC^2 = 225-144

DC^2 = 81

DC = 9

So the entire length of BD is 9 + 12 = 21 cm

Thus, we have it that;

Let EF be x

so DF = 15 + x

Hence;

BD/DF = AE/EF

21/15+x = 12/x

21x = 12(15 + x)

21x = 180 + 12x

21x-12x = 180

9x = 180

x = 180/9

x = 20 cm

EF = 20 cm

6 0

3 years ago

Deane is flying to a destination that is 2745 miles away. The plane's average speed is 450 mph. Write the slope-intercept form o

Dmitriy789 [7]

The equation in y = mx+b form is y = -450x+2745

where,
x = number of hours that have passed by
y = distance to destination in miles

The y intercept is 2745 since this is the initial starting y value, aka the starting distance. Therefore b = 2745.

The slope is -450 or -450/1 since for each hour, the distance goes down by 450. You can think of it as
slope = (change in y)/(change in x)
slope = (change in distance)/(change in time)
slope = (-450 miles)/(1 hour)
slope = -450

8 0

3 years ago

Find the requested unknown side of the following triangle

Salsk061 [2.6K]

*Answer* :
5.75
Explanation:
Let the unknown side = X
Cos() = adj/hyp
Cos(44)= X/8
X= 5.75

3 0

3 years ago

the arithmetic sequence ai is defined by the formula: a1 = -53 ai = ai-1 + 6 find the sum of the first 880 terms in the sequence

maxonik [38]

Answer:

The sum of the first 880 terms in the sequence is 2,273,920.

Step-by-step explanation: