All categories

3 years ago

Find the missing length. If needed route to the nearest 10th. The length of X is? PLEASE ANSWER AND EXPLAIN PLEASEEE

Mathematics

1 answer:

yaroslaw [1]3 years ago

5 0

Answer:x =8.3

Step-by-step explanation:

Triangle ABG is similar to triangle DBE. This means that the ratio of the length of each side of ∆ABG to the length of the corresponding side of ∆DBE is constant. Therefore,

AB/DB = BG/BE = AG/DE

AB = 11

BG = 10 + x

Therefore,

11/6 = (x + 10)/10

Cross multiplying, it becomes

6(x + 10) = 11 × 10

6x + 60 = 110

Subtracting 60 from left hand side and the right hand side of the equation, it becomes

6x + 60 - 60 = 110 - 60

6x = 50

Dividing the left hand side and the right hand side of the equation by 6, it becomes

6x/6 = 50/6

x = 8.3 rounded up to the nearest tenth

You might be interested in

a cookie baker has an automatic mixer that turns out a sheet of dough in the shape of a square 12 inches wide. His cookie cutter

iragen [17]

Answer:

All the sizes that satisfy $kd^2 =144$

Step-by-step explanation:

To answer this question we first need to find the minimum wasted area of the dough.

Let us call the diameter of the cookie $d$ , and $a$ the length of the dough sheet, then the $n$ number of cookies that fit into length $a$ will be

$n = \dfrac{a}{d}$

and therefore, the number that will fit into the whole square sheet will be

$n^2 = \dfrac{a^2}{d^2}$

Since the area of each cookie is

$A = \pi \frac{d^2}{4}$

the area of n^2 cookies will be

$A_n = n^2\pi \frac{d^2}{4}$ ,

which is the area of all the cookies cut out from the dough sheet; therefore, after the cutting, the area left will be

(1). $\text{area left}= a^2-n^2\pi \frac{d^2}{4}$

putting in the value of $n^2$ we get

$a^2- \dfrac{a^2}{d^2}\pi \frac{d^2}{4}$

which simplifies to

area left = a^2( 1 - (π/4))

putting in a = 12 we get

area left = 30.902 in^2.

Going back to equation (1) we find that

a^2-n^2(πd^2/4) =30.902

12^2- n^2(πd^2/4) =30.902

and if we call k = n^2, we get

12^2- k(πd^2/4) =30.902

113.098 = k(πd^2/4)

simplifiying this gives

kd^2 = 144.

As a reminder, k here is the number of cookies cut from the dough sheet.

Hence, our cookie diameter must satisfy kd^2 = 144,<em> meaning larger the diameter of the cookies less of the should you cut out to satisfy the above equality. </em>

8 0

4 years ago

During strenuous work a human body generates about 2,400 BTUs of body heat per hour. If 7 bodybuilders are in a gym that is 20 f

Vlad [161]

The answer is b) 8.4

3 0

3 years ago

How many different three-letter initials are there that contain at least one a?

snow_tiger [21]

I believe the answer is 600

4 0

3 years ago

Read 2 more answers

X is normally distributed with a mean of 100 and a standard deviation of 15. What is the probability of randomly sampling a scor

VikaD [51]

Answer:

Using calculator: 0.0415

Using Z-score Table: 0.0418

Step-by-step explanation:

There are two ways you can solve this problem.

1. Use the normal distribution function on a calculator.

Entered values:

Lower Limit: 126

Upper Limit: 999999999999999... (To encompass all the data)

Standard Deviation: 15

Mean: 100

2. Find the Z score and look up probabilities on table.

Formula for Z score:

$Z=\frac{x-mean}{standard deviation} \\\\Z= \frac{126-100}{15}=1.7333...$

Z = 1.7333

This means that the value 126 is 1.733 standard deviations away from the mean. We can look this value up on the Z table to find its corresponding probability.

This will show us the probability of the random sampling being equal to or lower than 126.

P = 0.9582

So to find the probability of it being above, we simply just calculate the inverse as all probabilities on the curve = 1.

1-0.9582 = 0.0418

NOTE: Values found from the table will usually be a bit different from if you find it from a calculator, the one you need will depend on the method you use in class.

Hope this helped!

6 0

3 years ago

PLEASE HELP!!!! WILL GIVE BRAINLEST

seropon [69]

Answer:

40x^2+83x-11

sorry if im wrong

5 0

4 years ago