Please help me with this

The length of the diagonal of Bob’s TV will be 50 in.

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that;

Bob’s rectangular TV is 40 inches wide and 30 inches high.

Now,

Since, TV is in rectangular shape.

Hence, It satisfy the Pythagoras theorem.

Let the length of the diagonal of Bob’s TV = x

So, We can formulate;

⇒ x² = 40² + 30²

⇒ x² = 1600 + 900

⇒ x² = 2,500

⇒ x = √ 2,500

⇒ x = 50 in

Thus, The length of the diagonal of Bob’s TV = 50 in.

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Answer:

Step-by-step explanation:

5(a + a + b) = 5(2a + b)

use the distributive property:

a(b + c) = ab + ac

= 5 · 2a + 5 · b =10a + 5b

Answer:

[tex]\boxed{\sf{D. \quad 10a+5b}}[/tex]

Step-by-step explanation:

Use a distributive property.

Distributive property:

[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]

⇒ a+a=2a

Rewrite the problem down.

[tex]\Longrightarrow: \sf{5(2a+b)}[/tex]

Multiply should be expanded.

⇒ 5*2a=10a

⇒ 5*b=5b

Rewrite the problem.

⇒ = 10a+5b

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

Min = 2

Q1 = 4

Median = 11

Q3 = 16

Max = 18

Step-by-step explanation:

2, 4, 4, 7, 10, 11, 12, 13, 16, 17, 18

       Q1         Q2           Q3

Min (minimum value) = 2

Q1 = 4

Median (middle value Q2) = 11

Q3 = 16

Max (maximum value) = 18

Answer:

[tex]\frac{1}{2}x[/tex]

Step-by-step explanation:

If the greater number is x and it is two times greater than the other number then the other number is half as big.  This is true because 2*[tex]\frac{1}{2}[/tex]x = x

The other number is equal to x/2.

A fraction in mathematics represents a portion or element of the whole. It represents the appropriate parts of the totality. A fraction is made up of two parts: the numerator and the denominator.

As per the given data:

We are given the relationship between 2 numbers, It's given that One number is two times greater than another number.

The greater number = x

Let's assume that the smaller number is y.

From the given data in the question:

One number is two times greater than another number

= x = 2y ...(i)

The other number that is the smaller number is given by:

By dividing eq (i) by 2 from both sides.

y = x/2

The other number is equal to x/2

Hence, The other number is equal to x/2

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Answer:

62.5 miles per hour

Step-by-step explanation:

Assuming she had the same speed the whole time and never stopped, just divide the miles driven by the time to get miles per hour. 437.5/7 = 62.5, so she drove 62.5 miles per hour.

Hopefully this helps- let me know if you have any questions!

rate of change:

[tex]\sf \bold{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]

coordinates taken: (0, 0), (2, 1)

[tex]\rightarrow \dfrac{1-0}{2-0}[/tex]

[tex]\rightarrow \dfrac{1}{2}[/tex]

Take 2 points

[tex]\\ \rm\rightarrowtail m=\dfrac{1+1}{2+2}[/tex]

[tex]\\ \rm\rightarrowtail m=\dfrac{2}{4}[/tex]

[tex]\\ \rm\rightarrowtail m=\dfrac{1}{2}[/tex]

Answer:

D. [tex]\displaystyle No\:Solution[/tex]

Explanation:

The absolute value of an integer is NEVER negative, hence, your answer. ON THE OTHER HAND, these are the only exceptions:

[tex]\displaystyle -6 = -|3[-2]| \\ -6 = -|3[2]|[/tex]

The negative absolute value of an integer however, IS negative.

I hope you are capable of differentiating between the two, and as always, I am joyous to assist anyone at any time.

Answer: pretty sure the answer is D

Step-by-step explanation:

The length of apothem for a regular hexagon with radius of 18 cm and side of 18 cm is 15.6 cm

The apothem of a regular polygon is a line segment from the center to the midpoint of one of its sides.

Let a represent the length of the apothem. Hence half of the side = 18/2 = 9 cm.

Using Pythagoras:

18² = a² + 9²

The length of apothem for a regular hexagon with radius of 18 cm and side of 18 cm is 15.6 cm

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Answer:

x=7   y= -3

Step-by-step explanation:

When you ADD both the x variable is cancelled

since -3x + 3x = zero

then you solve for y  And when you plug the value of y you will solve x

     2y-3x =-27

     5y+3x =6

   ADD BOTH

    7y = -21

    y = -3

     PLUG y

5(-3)+3x  = 6

 -15 + 3x = 6

     3x = 21

      x=7

Answer:

The answer is 12.56, which can be rounded to 12.7 or 13. :)

Answer:

91 degrees

Step-by-step explanation:

Angle RT = 46 degrees

Angle RU = 180 degrees

Angle RS = 89 degrees

So 46 + 89 = 135

180 - 135 = 45

So Angle UT = 45 degrees

Which means that Angle QR = 45 degrees also because they are vertical from each other

So you add 45 + 46 = 91

Angle TQS = 91 degrees

Answer:

0.125 = ⅛

Step-by-step explanation:

Both are equal.......

Answer:

[tex]\displaystyle 4536,4597918...\:cm.^2 = A[/tex]

Step-by-step explanation:

Split the diametre in half before proceeding:

[tex]\displaystyle \pi{r}^2 = A \\ \\ 38^2\pi = A \hookrightarrow 1444\pi = A \\ \\ \boxed{4536,4597918... = A}[/tex]

I am joyous to assist you at any time.

Answer:

132 cm²

Step-by-step explanation:

To find the area of the figure, start by dividing the figure into smaller rectangles.

Area of figure

= area of shaded rectangle +area of unshaded rectangle

[tex]\textcolor{steelblue}{\text{Area of rectangle= length ×breadth}}[/tex]

Shaded rectangle

Length= 4 cm

Breadth= 6 cm

Area

= 4(6)

= 24 cm²

Unshaded rectangle

Length= 9 cm

Breadth= 12 cm

Area

= 9(12)

= 108 cm²

After finding the area of each rectangle, we can add the two areas together to obtain the total area of the figure.

Area of figure

= 108 +24

= 132 cm²

Answer:

1.274cm

Step-by-step explanation:

Answer:

The answer would be A) 4

Answer: No Solution

Step-by-step explanation:

To solve this system of equations, set the two equations equal to each other and get: 8x - 7 = 8x + 4/5.

However, notice that if you consolidate the x terms and subtract 8x, you get 0 - 7 = 4/5.

7 can never equal 4/5, so there is no solution :)

solution:

[tex]\frac{299}{6}=49\frac{5}{6}[/tex]

decimal result:

[tex]49.833[/tex]

1. Simplify the expression

[tex]26/3*23/4[/tex]

Multiply the fractions:

[tex]\frac{\left(26\cdot23\right)}{\left(3\cdot4\right)}[/tex]

Cancel terms:

[tex]\frac{\left(13\cdot23\right)}{\left(3\cdot2\right)}[/tex]

Simplify the arithmetic:

[tex]\frac{299}{\left(3\cdot2\right)}[/tex]

Simplify the arithmetic:

[tex]\frac{299}{6}[/tex]

Simplify the fraction:

[tex]\frac{299}{6} =49\frac{5}{6}[/tex]

[tex]==========================================[/tex]

First, let's convert the mixed numbers into improper fractions:-

[tex]\bf{8\displaystyle\frac{2}{3}[/tex]

[tex]\displaystyle\frac{26}{3}[/tex]

Now, do the same for the second fraction:-

[tex]\displaystyle\frac{23}{4}[/tex]

Now, the formula for the area is

[tex]\bold{A=bh}[/tex]

We know both b and h, so we can just plug in the values and solve:

[tex]\bold{A=\displaystyle\frac{26}{3} *\frac{23}{4} }}[/tex]

Actually, we can reduce some fractions here (we can divide 26 and 4 by 2)

[tex]\bold{\displaystyle\frac{13}{3} *\frac{23}{2}}[/tex]

Multiplying 13 times 23 is easier than multiplying 26 times 13.

Now, this can only be done if the numbers do have some common factors. Both fractions are now in simplest form; 13, 23, 3 & 2 don't have common factors.

Multiply:

[tex]\bold{\displaystyle\frac{13*23}{3*2}}}[/tex]

The answer is

[tex]\bold{\displaystyle\frac{299}{6}}[/tex]

Convert to a Mixed Number:-

[tex]\bold{49\displaystyle\frac{5}{6}}[/tex]

[tex]==================================[/tex]

Nickname:- [tex]\mathbb{DiAmOnD}[/tex]

[tex]\boxed{An~emotional~helper}[/tex]

Answer:

Option A

Step-by-step explanation:

Given:

[tex] \sf \therefore \: cos \: 45 \degree = \frac{base}{hypotenuse} = \frac{9}{x} [/tex]

[tex] \sf \cos(45 \degree) = \frac{1}{ \sqrt{2} } [/tex]

[tex] \sf \frac{1}{ \sqrt{2} } = \frac{9}{x} [/tex]

[tex] \therefore \: \rm \: x = 9 \sqrt{2} [/tex]

the answer is 29.02

first I had to find out if it was cents or dollars I just thought of cents

so I did 42 cent minus 13.02 and that equals to 29.02

Answer:

13.5 in, or 34.3 cm.

Step-by-step explanation:

First, use the formula volume = pi * r^2 * height- you have the volume, so just solve the equation 411pi = pi * 9 * r^2 for r, and you get that r = 6.75. Since diameter is equal to 2r, multiply 6.75 by 2 to get your answer of 13.5 inches. The questions asks for the diameter in centimeters though, which makes it 34.3 cm.

Hopefully this helps- let me know if you have any questions!

Answer:

should be 110

Step-by-step explanation:

hope that helps!

Answer:

distance in 3 hours = 150 miles

distance in 1 hour = 150/3 = 50 miles

distance in 9 hours = 50 × 9 = 450 miles

Answer:

Sammy's dad traveled 450 miles in 9 hours.

Step-by-step explanation:

mph = [tex]\frac{Miles}{Hours}[/tex]

Miles = 150

Hours = 3

Plug into the formula of distance/time

[tex]\frac{150}{3} = 50mph[/tex]

Sammy's dad is driving at 50mph

In three hours you can use this formula:  [tex]50mph=\frac{miles}{9}[/tex]

Multiply both sides by 9:  [tex]50mph * 9 =\frac{miles}{9} *9[/tex]

Solve:

[tex]50mph * 9 =miles[/tex]

[tex]450 =miles[/tex]

Sammy's dad traveled 450 miles in 9 hours.

Hope this helped! :)

Answer:

The graph of g is translated down 5 units from the graph of f and stretched horizontally

Step-by-step explanation:

was correct on test :)

pls brainliest XD

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Answer:

C=2πr

r=C/2π

 198/2π

≈31.51268cm

The number of days Ashley ate Mexican food while on vacation is 20 days.

The first step is to determine the fraction of the number of days Ashley atae Mexican food. In order to do this, divide 4 by 7

4/7.

The second step is to multiply 4/7 by 35

4/7 x 35= 20 days

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Answer:

1/8

Change 27/8 into a mixed number 3 3/8

Answer: 1/8

Step-by-step explanation: I explain in the photo ! have a good day

The speed of the river current if the speed of the motorboat in still water is 15 km/h is 3 km/h.

Let x be the speed of the current in km/h units

Speed of the boat traveling against the current= (15-x) km/h

Time spent traveling 36 miles against the current=36/15-x hours

Time spent rafting36miles (with the current) =35/x hours

Equation=36/x-36/15-x=9

Multiply both sides by x×(15-x)

36×(15-x) - 36x = 9x×(15-x)

540 - 36x - 36x=135x-9x²

9x²-207x+540=0

x²-23x+60=0

(x-3)×(x-30) = 0

Roots are x= 3 and  x= 30

Since 15-x must be positive, the only root x = 3 survives

Hence:

Speed =3 km/h

Inconclusion the speed of the river current if the speed of the motorboat in still water is 15 km/h is 3 km/h.

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