Find the value of b. A. 75 B. 72.5 C. 145 D. 65

Answer:

20[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The diagonal splits the square into 2 right triangles

Using Pythagoras' identity on one of the right triangles

With legs 10[tex]\sqrt{6}[/tex] and hypotenuse the diagonal d, then

d² = (10[tex]\sqrt{6}[/tex] )² + (10[tex]\sqrt{6}[/tex] )² = 600 + 600 = 1200 ( take square root of both sides )

d = [tex]\sqrt{1200}[/tex] = [tex]\sqrt{400(3)}[/tex] = [tex]\sqrt{400}[/tex] × [tex]\sqrt{3}[/tex] = 20[tex]\sqrt{3}[/tex]

Answer:

C. [tex] 13.76 units^2 [/tex]

Step-by-step explanation:

Given:

∆ABC,

m<A = 66.28°

m<B = 31.09°

AB = 7.6

BC = 7.01

Required:

Area of ∆ABC

SOLUTION:

Area = ½*AB*BC*sin(B)

[tex] Area = \frac{1}{2}*7.6*7.01*sin(31.09) [/tex]

[tex] Area = \frac{1}{2}*7.6*7.01*sin(31.09) [/tex]

[tex] Area = 13.76 units^2 [/tex]

Answer:

The correct option is;

AC and CD have the same length

Step-by-step explanation:

Given that the circle with center C, we have;

The length of AC extending from C to A being from the center to the circumference is the radial length of the smaller circle of center C.

Similarly, the length of the segment that extends from the center of the circle with center C to the circumference of the circle is the also the radial length of the smaller circle of center C.

Whereby the radial length of a circle is constant, then two radial lengths of the same circle are congruent and and circle radius AC is congruent to radius CD, which gives;

Length of AC = Length of CD or AC and CD have the same length.

Answer:

Angle 1 = 39, Angle 2 = 78 , Angle 3 = 63

Step-by-step explanation:

78/2 = 39

(Angle 2/2 = Angle 1)

78 - 15 = 63

(Angle 2 - 15 = Angle 3)

39 + 78 + 63 = 180

(Angle 1 + Angle 2 + Angle 3 = 180)

Answer:

39°, 78°, 63°

Step-by-step explanation:

let ∠ 1 = x, then

∠ 2 = 2x ( twice the measure of ∠ 1 )

∠ 3 = 2x - 15 ( 15° less than ∠ 2 )

Sum the 3 angles and equate to 180

x + 2x + 2x - 15 = 180, that is

5x - 15 = 180 ( add 15 to both sides )

5x = 195 ( divide both sides by 5 )

x = 39

Thus

∠ 1 = 39°

∠ 2 = 2 × 39° = 78°

∠ 3 = 78° - 15 = 63°

Answer:

i) width = 3.75

length = 4.5

ii) 6.75m^2

iii) 78.75m^2

Step-by-step explanation:

11)

i) Bedroom 1

actual width = 2.5 × 1.5

= 3.75 m

actual length = 3 × 1.5

= 4.5m

ii) Kitchen

actual width = 1.5 × 1.5

= 2.25 m

actual length = 2 × 1.5

= 3 m

actual area = 2.25× 3

= 6 .75 m^2

iii) Apartment

actual width = 5 × 1.5

= 7.5 m

actual length = 7 × 1.5

= 10. 5 m

actual area = 7.5 * 10.5

= 78.75 m ^2

Answer:

[tex]x=-6[/tex]

Step-by-step explanation:

So we have the equation:

[tex]-34=7(x+8)+8x[/tex]

First, distribute the 7 into the (x+8) and simplify:

[tex]-34=7(x)+7(8)+8x\\-34=7x+56+8x[/tex]

Combine the like terms 7x and 8x by adding them together:

[tex]-34=56+15x[/tex]

Subtract 56 from both sides to isolate the x:

[tex]-34-56=15x+56-56\\15x=-90[/tex]

Divide both sides by 15 to get x:

[tex]x=-90/15=-6[/tex]

Answer:

6

Step-by-step explanation:

3/4 each

9/2 ÷ 3/4 = 6

OR

4 * 3/2 = 6

:D

Answer:

Step-by-step explanation:

[tex]4 \:bagels = 3.00\\x \:bagels = 4.50\\\\Cross\:Multiply\\\\3x = 4\times4.50\\\\3x = 18\\\\Divide\:both\:sides\:of\:the\:equation\:by\:3\\\frac{3x}{3} = \frac{18}{3} \\x = 6\\\\Answer = 6 \:bagels[/tex]

Answer:

Step-by-step explanation:

If M is the midpoint of the segment AB, then AM+MB = AB. Given the following parameters;

AM=9x-5 and MB=15-x

Required parameter

segemnt AB

Substituting the given parameters into the given formula to get AB we will have;

AB = AM+MB

AB = 9x-5+15-x

collect like terms

AB = 9x-x-5+15

AB = 8x+10

Hence the length of segment AB is 8x+10

Answer:

Lola has 12 times m total cakes. Adrian has 3 and a quarter left of cake. If they add theirs together they get 9. What is the value of m?

Step-by-step explanation:

Lola has 12 times m total cakes. Adrian has 3 and a quarter left of cake. If they add theirs together they get 9. What is the value of m?

Answer: The sum of twelve times a number m and 3.4 is equal to 9.

Step-by-step explanation:

The givens are an algebraic expression 12m + 3.4 = 9. We need to put this in words.

So here is how we do it:

The sum of twelve times a number m and 3.4 is equal to 9.

OR you can say:

9 is equal to the sum of a number m twelve times and 3.4.

Answer: A

Step-by-step explanation:

7[tex]\pi[/tex]   pi is an irrational number and  multiply it by 7 which is an rational number makes it irrational.

Answer:

[tex] 16x^2 + 8x +1[/tex]

Step-by-step explanation:

[tex] 16x^2 + 8x +1 = (4x+1)^2 [/tex]

Answer:

x = 3y + 87

Step-by-step explanation: Hi! Ok, firstly, you know the slope, which is:

3y = x - 6

y = 1/3x - 2

Your slope is 1/3.

And you have the point (8,5). If you were to graph this, your y-intercept will be (0,29), because for every one you add to the y value, you add three to x. So, you have to add 8 to y, so 24 to x. 24 + 5 = 29.

Thus, y-intercept form is y = 1/3x + 29

Standard form will be: x = 3y + 87

Answer:

B, C and D are not the correct way of finding the area of the square.

Step-by-step explanation:

A is the correct way of finding the area of the square because:

Area of the whole square - area of the unshaded square = the answer.

Answer:

add the

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The - in front of -x tells us that the line has to go down (slope -1), and the +2 tells us it will pass through (0,2).

Then you can see that only graph A fits that description.

Hello!

Answer:

A

Step-by-step explanation:

if x=0 => y=2

if x=1 => y=1

This is A graph!

Answer: 5

Step-by-step explanation:

  8-2b=-2

8-2b-8=-2-8

    -2b=-10

-2b/-2=-10/-2

       b=5

Answer:

Perpendicular lines are 90 degrees on their central angle.

Step-by-step explanation:

1. Draw the line L with a meter-rule and a pencil.

2. extend the hand of the protractor beyond the radius of the line and bisect the line L, by placing the protractor pin on both ends of the line and marking up and down.

3. Join the points where the markings meet drawing a line through C which is the center of the line L.

Answer:

The possible values of k are 3 and -3

Step-by-step explanation:

Given

Points: (-3,k) and (2,0)

Distance between them = √34

Required

Determine the value of k

The distance between two points is calculated as thus;

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

Let

[tex](x_1,y_1) = (-3,k)[/tex]

[tex](x_2,y_2) = (2,0)[/tex]

Substitute these values in the given formula

[tex]Distance = \sqrt{(-3 - 2)^2 + (k - 0)^2}[/tex]

Evaluate the brackets

[tex]Distance = \sqrt{-5^2 + k^2}[/tex]

[tex]Distance = \sqrt{25 + k^2}[/tex]

Recall that Distance = √34

So; we have

[tex]\sqrt{34} = \sqrt{25 + k^2}[/tex]

Take square of both sides

[tex]34 = 25 + k^2[/tex]

Collect Like Terms

[tex]k^2 = 34 - 25[/tex]

[tex]k^2 = 9[/tex]

Take square root of both sides

[tex]k = \±3[/tex]

Hence, the possible values of k are 3 and -3

Answer:

In order to find the remainder two polynomials of same degree are divided.

Step-by-step explanation:

Hope this will help you :)

Answer:

180/1000 or 18/100 0.18

Step-by-step explanation:

The repeating decimal 0.18 to a fraction is 2/11

From the question, we have the following parameters that can be used in our computation:

Number =  0.18

Express as fraction

So, we have

Number =  18/100

Subtract 1 from the denominator

Number =  18/99

Simplify

Number =  2/11

Hence, the fraction is 2/11

Read more about fraction at

brainly.com/question/31896427

#SPJ6

Answer:

B. [3, 5]

Step-by-step explanation:

The range of a graph are the y-values that are plotted on the vertical axis (y-axis). In order words, the range values, are the possible set of output values of that are plotted on the vertical axis on the graph.

"[ ]" is usually used to denote the possible set of values.

Therefore, the range of the given graph, as we can see from the y-axis, include values from 3 to 5. Therefore, the range of the graph is [3, 5].

Answer:

see below (I hope this helps!)

Step-by-step explanation:

To find the distance between two points, we can use the formula d = √(x₂ - x₁)² + (y₂ - y₁)² where d = distance and (x₁, y₁), (x₂, y₂) are the points. Therefore:

d = √(-6 - 2)² + (2 - (-6))²

= √(-4)² + (8)²

= √16 + 64

= √80 ≈ 8.944272

Answer:

49.6 liters

Step-by-step explanation:

Let the number of water that the smaller chest be x liters. If the smaller chest can hold 4/5 of the water that the large chest can hold, then:

The amount of water held by small chest (x) = 4/5 × amount of water that can be held by large chest

x = 4/5 × 62 liters = 49.6 liters

This means that the small chest can hold up to 49.6 liters of water

Smaller chest can hold 49.6 liters.

The smaller chest holds 4/5 the amount of water that the larger chest can hold which is 62 liters.

The amount the smaller chest can hold is therefore:

= Amount of water large chest can hold x proportion of large chest that small chest can hold

= 62 x 4/5

= 248/5

= 49.6 liters

The smaller chest can therefore hold 49.6 liters.

Find out more at https://brainly.com/question/17474612.

Answer:

the answer is1

Step-by-step explanation:

ok its actually simple

you add the 1 by moving it to the left of the 0 to get

1+0=r

you do the problem to get

1=r

so the answer is

1

Answer:

[tex]\huge \boxed{r=1}[/tex]

Step-by-step explanation:

[tex]0=r-1[/tex]

Adding 1 to both sides.

[tex]0+1=r-1+1[/tex]

[tex]1=r[/tex]

Answer:

$157.50

Step-by-step explanation:

150

+7.50

______

157.50

Answer:

its negative :)

Step-by-step explanation:

..........

Answer:

The sum will be negative

Step-by-step explanation: Negative+Negative=Positive//Positive+Positive=Positive//Positive+Negative=Negative//Negative+Positive=Negative

Answer:

Since there are no common factors, the only common factor is 1

(●'◡'●)

Answer:

y-3= 2(x-1)

Step-by-step explanation:

1. The equation of a line in point slope form is y-y1= m(x-x1)

2. m=slope and (x1,y1) is the point the line passes through

3. The point the line passes through is (1,3)

4, The slope is 2

5. Therefore the answer is y-3=2(x-1)

Answer:

y-3=2(x-1)

Step-by-step explanation:

Point slope form is y-y1=m(x-x1)

Now we just need to plug in what you have into this equation.

y-3=2(x-1) and this is the point slope form for this line.

Answer:

[tex]2\frac{8}{15}[/tex]

Step-by-step explanation:

The calculation of average speed in kilometres per hour is shown below:-

As we know that

[tex]Speed = \frac{Distance}{Time}[/tex]

So, the average speed is

[tex]= 3\frac{1}{6} \div 1\frac{1}{4}[/tex]

Now we will convert into a mixed number i.e

[tex]3\frac{1}{6} = \frac{19}{6} \\\\ 1\frac{1}{4} = \frac{5}{4}\\\\ = \frac{19}{6} \div\frac{5}{4}\\\\ = \frac{19}{6} \times \frac{4}{5}[/tex]

Now the cross cancel common factor is 2

So,

[tex]= \frac{19}{2}\times \frac{2}{5} \\\\ = \frac{38}{15} \\\\ = 2\frac{8}{15}[/tex]

hence, the average speed is [tex]2\frac{8}{15}[/tex] in kilometers per hour

Therefore we simply applied the above formulas to determine the average speed that comes in kilometers per hour

Answer:

3 is right answer

Step-by-step explanation:

see in attached picture

hope it helped you:)