Oksana wrote the equation below on the whiteboard.

6 b + 6 = 48

What is the value of b?
4
7
8
9

Answer:

Sorry for the late response, I had to have lunch.

1. >

2. =

3. <

4. >

Step-by-step explanation:

Have a great summer :)

Answer:

1. option c

2. option b

3. option b

Step-by-step explanation:

1 . option C

Square of longer side = sum of squares of other side

a)

5, 6 , 11

[tex]121 = 25 + 36\\does\ not \ satisfy[/tex]

b)

9, 12, 16

[tex]256 = 144 + 81\\Does\ not \ satisfy[/tex]

c)

7, 24, 25

[tex]625 = 576 + 49\\Does\ satisfy[/tex]

d)

12, 20, 25

[tex]625 = 400 + 144\\does \ not \ satisfy[/tex]

2. Option B

Square of longer side = sum of squares of other side

15 ² = 8 ² + r²

225 = 64 + r²

161 = r²

r = 12.688

r = 13ft

3 . Option b

To find length  of AB,  Use distance formula

[tex]AB = \sqrt{(x_2- x_1)^2 + (y_2 - y_1)^2}[/tex]

    [tex]= \sqrt{(14-3)^2 + (6-1)^2}\\\\=\sqrt{11^2 + 5^2}\\\\=\sqrt{121 + 25}\\\\= \sqrt{146} \\= 12 \ ft[/tex]

Answer:

B and C

Step-by-step explanation:

B is correct because 5² is 25, which is less than 64

C is correct because (-3)² is 9, which is less than 64

Answer:

b c d f

Step-by-step explanation:

-8 ≤ x ≤ 8

Answer:

Step-by-step explanation:

A?

Answer:

8

The missing digit is going to be eight, because if we are rounding to the nearest tenth the 3 won't change anything.

Step-by-step explanation:

Have a nice day! :-)

Answer:

8

Step-by-step explanation:

because the 8 is on the tenths place and with three in the hundredths place I can't round up

Answer:

C.

Step-by-step explanation:

first, you arrange all the numbers in ascending sequence, you should get:

62, 64, 65, 65, 67, 68, 68, 69, 69, 69, 70, 70, 70, 71, 71, 71, 73, 72, 72, 73

yes and now you can see there are 20 values all arranged in ascending order. from here, you find the 2 middle values since it is an even number.

it should be value 10 and 11 which is number 69 and 70

now you find the average which is:

[tex]\frac{69+70}{2}[/tex] = 69.5

so your center value is 69.5.

Answer:

1. 6

2. 3, 10

3. 7

4. 95%

5. 7.5

6. (I assume the chart is the same as the one above) 8

7. 8

8. 4

Step-by-step explanation:

Have a great summer :)

Answer:

Step-by-step explanation

to find median u ned to arrange the data from ascending to descending order

Data=3,3,4,5,6,7,9,10,10

Median=N+1/2   (N means no of data)

=9+1/2

=10/2

=5 th term

=6

Mode is 3 and 10 because they repeats maximum number of time.

range=largest value-smallest value

=10-3

=7

average =sum of data/no of data

=100+91+96+93/4

=380/4

=95

therefore average is 95.

Answer:

39.28cm^2

Step-by-step explanation:

Simple work out the area of a circle and halve it.

3.142xr^2

3.142x5^2 = 78.55 cm^2 (Full circle area)

Now we must halve that answer to get the semicircle.

78.55/2 = 39.275 cm^2

However, we need it to 2dp. Therefore the answer is 39.28cm^2

Answer:

16 boxes large

Step-by-step explanation:

if the weigth is 1280 wilhich means its 1280÷80 =16

Answer:

its the 2nd one

hope that helps<3

Answer:

jhkkkhj

Step-by-step explanation:

jkjkjkjkj

Answer:

x = 25

Step-by-step explanation:

Correct question

In a right triangle Sin (40-x)=cos(3x) what is the value of x

Since Sin theta = Cos(90-theta)

Sin (40-x) = Sin(90-3x)

40 - x = 90 - 3x

-x+3x = 90 - 40

2x = 50

x = 25

Hence the value of x is 25

Answer:

13

Step-by-step explanation:

The IQR = Interquartile Range is the difference between the first and third quartile

Rearranged data set:

3, 7, 16, 17, 20, 45

Step 1

We find the first quartile = Q1

= 1/4(n + 1)th number

n = 6

= 1/4(6 + 1)th

= 1/4(7)th

= 1 3/4th number

This = 7

Step 2

We find the third quartile = Q3

= 3/4(n + 1)th number

n = 6

= 3/4(6 + 1)th

= 3/4(7)th

= 21/4th number

= 5 1/4 th number

This = 20

Step 3

IQR = Q3 - Q1

= 20 - 7

= 13

Step-by-step explanation:

(-) + (-) = (+)

=........ +1

Answer:

-1

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

a + b^3 - a

Simplify

b^3

Let b=2

2^3

8

Answer:

11

Step-by-step explanation:

If a = 3, and b = 2, then;

=> a + b³

=> 3 + 2³

=> 3 + 8

=> 11

Hope this helps!

Answers:

He has  27   quarters and  31   dimes

=========================================================

Work Shown:

d = number of dimes

q = number of quarters

d+q = 58 since there are 58 coins of only these two types

d = 58-q

10d+25q = 985 .... note that 985 cents is $9.85

10(58-q)+25q = 985 .... replace d with 58-q

580-10q+25q = 985

15q+580 = 985

15q = 985-580

15q = 405

q = 405/15

q = 27 ..... Mike has 27 quarters

d = 58-q

d = 58-27

d = 31 .... Mike also has 31 dimes

-----------

As a way to check:

d+q = 31+27 = 58 so that works out

and

10d+25q = 10*31+25*27 = 310+675 = 985

so that works out as well. The answer is confirmed.

Answer:

35 is correct

Step-by-step explanation:

hope this helps.

Answer:

35°

Step-by-step explanation:

Angle ACD is 70°. The little tick marks on the angle mean both sides of the split are the same amount. This means if you divide the angle in half, you will find out what both of them are equal to.

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Answer:

In picture

Step-by-step explanation:

Hope I answered it correctly.

Please give me brainliest if it help you, thanks!

Answer:

Step-by-step explanation:

[tex] {10}^{ - 3} [/tex]

Answer:

2⁴ × 3³ × 5

Step-by-step explanation:

By prime factorisation,

→ 2160 = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5

→ 2160 = 2⁴ × 3³ × 5

Answer:

2300 mm^2

Step-by-step explanation:

Answer:

T = 3.5m

T is trash in pounds

m is members of family

Step-by-step explanation:

Answer:

A. 20

B. 11 + 3tt

Step-by-step explanation:

A.  11 + 3(3) = 20

B.  11 + 3(tt)

Answer:

[tex]sin 2 \theta = \frac{4 \sqrt5}{9}[/tex]

Step-by-step explanation:

Identities used :

[tex]1. sin^2 \theta = 1 - cos^2\theta\\\\2. tan^2 \theta + 1 = sec^2 \theta\\\\3.cos \theta = \frac{1}{sec \theta} \\\\4. sin 2 \theta = 2 sin\theta cos\theta[/tex]

[tex]Given \ tan \theta = -\frac{2 \sqrt5}{5}\\[/tex]

[tex]we \ know \ tan ^2 \theta + 1 = sec^2\theta[/tex]

            [tex](-\frac{2 \sqrt 5}{5})^2 + 1 = sec^2 \theta\\\\\frac{4 \times 5}{25 } + 1 = sec^2 \theta \\\\\frac{20 + 25}{ 25} = sec^2 \theta \\\\\frac{45}{25} = sec^2 \theta \\\\sec \theta = \sqrt{ \frac{45}{25}}\\\\sec \theta = \sqrt{ \frac{9 \times 5}{5 \times 5}} \\\\sec \theta = \frac{3 \sqrt {5}}{5}\\\\[/tex]

[tex]We \ know \ cos \theta = \frac{1}{ sec \theta}[/tex]

[tex]So , \cos \theta = \frac{5}{3 \sqrt5}[/tex]

[tex]Next \ sin^2 \theta = 1 - cos^2 \theta[/tex]

                 [tex]= 1 - (\frac{5}{3 \sqrt5})^2\\\\=1 - \frac{25}{9 \times 5}\\\\=1 - \frac{25}{45}\\\\=\frac{45 - 25}{45}\\\\=\frac{20}{45}\\\\=\frac{4}{9}[/tex]

    [tex]sin \theta = \sqrt{ \frac{4}{9}} = \frac{2}{3}[/tex]

[tex]Find \ sin 2 \theta[/tex]

[tex]sin 2 \theta = 2 (sin \theta \times cos \theta)[/tex]

        [tex]= 2 \times \frac{2}{3} \times \frac{5}{3\sqrt5}\\\\= \frac{4 \times \sqrt5 \times \sqrt5}{9 \times \sqrt 5}\\\\=\frac{4 \sqrt5}{9}[/tex]

Answer:

Triangle A:

- smaller leg = 3

- longer leg = 10

- hypotenuse = 10.4

Traingle B:

- smaller leg = 4

- longer leg = 13

- hypotenuse = 13.6

Triangle C:

- smaller leg = 5

- longer leg = 7

- hypotenuse = 8.6

Step-by-step explanation:

Let's find the distance of the legs for the 3 right triangles.

Triangle A

The smaller leg (SL) is from (2,5) to (2,8), so the length is given by the distance in the y-axis:

[tex] SL_{A} = 8 - 5 = 3 [/tex]

Hence, the lenght of the smaller leg is 3.

The longer leg (LL) is from (-8, 8) to (2, 8), so the length is given by the distance in the x-axis:

[tex] LL_{A} = 2 - (-8) = 10 [/tex]

Then, the length of the longer leg is 10.  

Now, we can find the hypotenuse (H) by using Pitagoras:

[tex] H_{A} = \sqrt{SL_{A}^{2} + LL_{A}^{2}} = \sqrt{3^{2} + 10^{2}} = 10.4 [/tex]

Triangle B

The SL is from (3, -9) to (7, -9)

The length of the SL is:

[tex] SL_{B} = 7 - 3 = 4 [/tex]

The LL is from (7, -9) to (7, 4)

The length of the LL is:

[tex] LL_{B} = 4 - (-9) = 13 [/tex]

The hypotenuse is:

[tex] H_{B} = \sqrt{4^{2} + 13^{2}} = 13.6 [/tex]

Triangle C

The SL is from (-10, -6) to (-10, -1)

The length of the SL is:

[tex] SL_{C} = -1 - (-6) = 5 [/tex]

The LL is from (-10, -6) to (-3, -6)  

The length of the LL is:

[tex] LL_{C} = -3 - (-10) = 7 [/tex]

The hypotenuse is:

[tex] H_{C} = \sqrt{5^{2} + 7^{2}} = 8.6 [/tex]

I hope it helps you!

Answer:

Origin

Step-by-step explanation:

The point in the middle of the coordinate plane is called the origin, this point is ploted as (0,0). The origin seprates all four quadrants in a coordinate plane.

Hope this helps:

Nathan

Answer:

That would be 11.4

Step-by-step explanation:

i've done this before

Answer:

35

Step-by-step explanation:

To find this, we are going to use the combination formula as follows;

nCr = n!/(n-r)!r!

In this case, n = 7 and r = 3

Substituting these values;

7C3 = 7!/(7-3)! 3! = 7!/4!3! = 35