Find the area of each figure. Round to the nearest tenth if necessary

Answer:

48-19=x

Step-by-step explanation:

if you subtract those you get 29

Answer:

(-9, 14)

Step-by-step explanation:

Let the column vector be represented as a = (3, 4) and b = (5, -2)

2a = 2(3,4)

2a = (6,8)

3b = 3(5, -2)

3b = (15, -6)

Take the difference 2a - 3b

2a - 3b = (6,8) - (15, -6)

2a - 3b = (6-15, 8 -(-6))

2a - 3b = (-9, 14)

Hence the column vector is (-9, 14)

We want to find 2a - 3b as a column vector, we will get:

[tex]2a - 3b = \left[\begin{array}{ccc}-9\\14\end{array}\right][/tex]

So we want to perform a sum (difference actually) of vectors, we have that:

[tex]a = \left[\begin{array}{ccc}3\\4\end{array}\right] \\\\\\b= \left[\begin{array}{ccc}5\\-2\end{array}\right][/tex]

Remember that when we multiply a vector by a scalar, each component gets multiplied by that scalar, so we have:

[tex]2a = \left[\begin{array}{ccc}2*3\\2*4\end{array}\right] = \left[\begin{array}{ccc}6\\8\end{array}\right] \\\\\\3b= \left[\begin{array}{ccc}3*5\\3*-2\end{array}\right] = \left[\begin{array}{ccc}15\\-6\end{array}\right][/tex]

Now we just perform the direct difference:

[tex]2a - 3b = \left[\begin{array}{ccc}6\\8\end{array}\right] - \left[\begin{array}{ccc}15\\-6\end{array}\right] = \left[\begin{array}{ccc}6 - 15\\8 + 6\end{array}\right] = \left[\begin{array}{ccc}-9\\14\end{array}\right][/tex]

If you want to learn more, you can read:

https://brainly.com/question/10435343

Answer:

39.58

Step-by-step explanation:

49.15-16.23=32.92

32.92+35=67.92

67.92-8.34=59.58

59.58-20=39.58

Her balance is $39.58

Hope this helps

Answer:

49.15 - 16.23 + 35.00 - 8.34 - 20 = 39.58

Answer:

B and E

Step-by-step explanation:

15 divided by 12 is =1.25

1.25 ti.es 36 rooms =45 hours

Answer:

c

Step-by-step explanation:

Answer:

Q1 = 6

Med = 12

Q2 = 15

Step-by-step explanation:

Answer:

18 in

Step-by-step explanation:

multiple base by height

9514 1404 393

Answer:

  (a, B, C) ≈ (9.15, 29.2°, 102.8°)

Step-by-step explanation:

The given angle lies between the given sides, so the law of sines cannot be used. The third side is ...

  a² = b² +c² -2bc·cos(A) ≈ 83.6452

  a ≈ √83.6452 ≈ 9.146

__

Then angle B is found from the law of sines. We want to find the smaller angle, so we can tell if the triangle is acute or obtuse.

  sin(B)/b = sin(A)/a

  B = arcsin(b/a·sin(A)) ≈ arcsin(0.48753)

  B ≈ 29.2°

  C = 180° -48° -29.2° = 102.8°

The solution to the triangle is (a, B, C) = (9.1, 29.2°, 102.8°).

Answer:

(9,-7)

Step-by-step explanation:

Anytime you rotate a coordinate point around the coordinate plane at 180°, each coordinate changes from (x,y) to '(-x, -y). This means they will become the opposite of their original number.

Answer:

x = 40

Step-by-step explanation:

(x × [tex]\frac{1}{5}[/tex] )+ 24 = [tex]\frac{8}{10}[/tex] × x

0.2x + 24 = 0.8x

0.2x - 0.2x + 24 = 0.8x - 0.2x

24 = 0.6x

0.6x = 24

0.6x × [tex]1\frac{2}{3}[/tex] = 24 × [tex]1\frac{2}{3}[/tex]

x = 40

Answer:

x=40

Step-by-step explanation:

1/5x+24=8/10x

give like denominators

2/10x+24=8/10x

subtract 2/10x on both sides

24=6/10x

divide 24 by 6/10, or multiply by 10/6

x=240/6

refine/simplify

x=40

Answer:

90 I believe  

Step-by-step explanation:

Answer: A or B

Step-by-step explanation: A or B

Answer:

441 square feet

Step-by-step explanation:

Answer:

3 hours

Step-by-step explanation:

15÷5=3 so that's ot

Answer:

−

2

3

,

−

6

,

1

9

,

32.5

%

,

2.74

,

4

2

Step-by-step explanation:

Answer:

The answer is 6

Step-by-step explanation:

Since you have to divvied 40 to 8 witch gives you 6

Answer:

g(3)= 4/3

Step-by-step explanation:

plug in the 3 for the x for get 4/3

Answer:

1

Step-by-step explanation:

put x=3,

8×1/2³ = 8/8 =1

Answer:

The answer is 40 Centimeters.

Step-by-step explanation:

This answer is correct since there are 4 rows of 10, creating the Rectangular prism.  i hope this helped!

Answer:

-7<k<-1

Step-by-step explanation:

k is greater than negative seven, and

-1 is greater than k

Answer:

C 1/10 × 33

D 0.1 × 33

Hope that helps

Answer:

The answer is 90

Step-by-step explanation:

A= L*W

so when you are given the are and the width you need to divide the area by the width to find the length

Answer:

Step-by-step explanation:

where is the picture?!

Answer:

28m squared

Step-by-step explanation:

7*4 is 28

Answer:

12.5

Step-by-step explanation:

6+10= 16    200/16=12.5

Answer:

0.0814 = 8.14% probability that at least one of the women has a Chlamydia infection

Step-by-step explanation:

For each women, there are only two possible outcomes. Either they have a Chlamydia infection, or they do not. The probability of a woman having the infection is independent of any other women. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The Centers for Disease Control and Prevention reports that the rate of Chlamydia infections among U.S. women ages 20 to 24 is 2791.5 per 100,000.

This means that:

[tex]p = \frac{2791.5}{100000} = 0.027915[/tex]

Take a random sample of three U.S. women in this age group.

This means that [tex]n = 3[/tex]

What is the probability that at least one of the women has a Chlamydia infection?

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.027915)^{0}.(1-0.027915)^{3} = 0.9186[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.9186 = 0.0814[/tex]

0.0814 = 8.14% probability that at least one of the women has a Chlamydia infection

Answer:

x=8

Step-by-step explanation:

-2(8) would be -16 so -18 is still greater

Answer:

B

Step-by-step explanation:

all the others will have a value of more than -18. Only B makes sense.

Hope this helps! Have a great day

Answer:

the answer is

Step-by-step explanation:

Answer: The side of the playground is around 10 meters long

Step-by-step explanation:

use the diagonal as the hypotenuse of a right triangle, where the sides of the square form the legs of said triangle.

Usually

[tex]a^{2} +b^{2} =c^{2}[/tex]

since we know a and b are the same length (sides of a square are congruent) we would have

[tex]a^{2} +a^{2} =c^{2} \\2a^{2} =c^{2}[/tex]

We know that c is 14 so

[tex]2a^{2} =14^{2} \\2a^{2} =196\\a^{2} =98\\a=\sqrt{98} \\a= 9.999[/tex]

Answer:

x = 180 - 30 - 41 - 67 = 42°

Answer:

5

Step-by-step explanation: