The perimeter of a rectangle is 120 centimeters. The base is 3 times the height. What are the dimensions of the rectangle? a. h = 9cm, b = 18 cm c. h = 15 cm, b = 45 cm b. h = 19 cm, b = 57 cm d. h = 10 cm, b = 15 cm

Answers

Answer 1

Answer:

[tex]Height = 15[/tex]

[tex]Base = 45[/tex]

Step-by-step explanation:

Given

Shape: Rectangle

[tex]Perimeter = 120cm[/tex]

[tex]Base = 3 * Height[/tex]

Required

Determine the dimensions

The perimeter of a rectangle is:

[tex]Perimeter = 2 * (Base + Height)[/tex]

Substitute 120 for Perimeter

[tex]120 = 2 * (Base + Height)[/tex]

Divide both sides by 2

[tex]60 = Base + Height[/tex]

Substitute 3 * Height for Base

[tex]60 = 3 * Height + Height[/tex]

[tex]60 = 3Height + Height[/tex]

[tex]60 = 4Height[/tex]

Divide both sides by 4

[tex]15 = Height[/tex]

[tex]Height = 15[/tex]

Substitute 15 for Height in [tex]Base = 3 * Height[/tex]

[tex]Base = 3 * 15[/tex]

[tex]Base = 45[/tex]


Related Questions

Solve for x,
45=3x
Simplify your answer as much as possible,
X

Answers

15 times 3 = 45 therefore x=15

What is equivalent to 5(x + 12)

A x +12
B 2x - 60
C 5x + 60
D 2x - 60

Answers

Answer:

[tex]\boxed{\boxed{\pink{\sf Option \ C \ is \ correct .}}}[/tex]

Step-by-step explanation:

Given to us is , 5 ( x + 12 ) and we need to find which is its equivalent in the given options .

So,

[tex]\bf = 5 ( x + 12 ) \\\\=\bf 5x + 5\times 12 \\\\=\boxed{\red{\bf 5x + 60 }}[/tex]

Hence option C is correct.

what is the slope of this line

Answers

Answer:

Step-by-step explanation: Do rise and run

There is 7/8 of the pretzel bag left. If one serving is 1/4 of the bag. How many servings are left? Use the model to answer the question.

Answers

Answer:

5/8

Step-by-step explanation:

hi, back at it agian. i dont think this would be to hard. delta math sucks... i need this asap! ·ω·

Answers

Answer:

I can't read the words the picture is to grainy

Answer:

10% would be 6

Step-by-step explanation:

First you want to find the 100 percent amount  to turn 40 into 100 you need to multiply it by 2.5 so you want to take 24 and multiply by 2.5 which equal 60 and 60 divided by 10  is 6

find the angle which y= equals to root 3 x -4 makes with yaxis​

Answers

9514 1404 393

Answer:

  30°

Step-by-step explanation:

The angle a line makes with the x-axis is arctan(slope). Here, that is ...

  angle with x-axis = arctan(√3) = 60°

So, the angle made with the y-axis is the complement of this:

  angle with y-axis = 90° -60° = 30°

can someone please help me.​

Answers

Answer:

Step-by-step explanation:

1. isosceles

2. right scalene

3. obtuse scalene

4. equilateral

5. right isosceles

6. acute scalene

7. equilateral

8. isosceles

True or False. The higher the interest rate, the larger the balance will be after a determined amount of time (than with a lower interest rate).

Answers

Answer:

True

Step-by-step explanation:

Principle = Interest * Time

So if time doesn't change, You'll get more money when Interest is higher!

Solve the following formula for the specified variable. B=1/4m(r+k) for r

Answers

Answer: r=4b/m-k

Step-by-step explanation: I think

The solution of the given formula B=1/4m(r + k) for r is r = 4(B/m) - k.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

Given the expression,

B=1/4m(r+k)

4B = m(r + k)

r + k = 4B/m

r = 4(B/m) - k

Hence "The solution of the given formula B=1/4m(r + k) for r is r = 4(B/m) - k".

For more about the equation,

brainly.com/question/10413253

#SPJ2

50 POINTS!!!43
what is 43 7/8% of $2.35?
Round your answer to the nearest cent

Answers

Answer:

$1.03

Step-by-step explanation:

7/8 = 0.875

then

43 7/8 = 43.875%

43.875/100 = 0.43875

2.35 * 0,43875 = 1.031

Round to the neares cent:

1.03

Step-by-step explanation:

[tex]43 \frac{7}{8} \% \: of \: 2.35 \\ \frac{351}{8} \% \: of \: 2.35 \\ \frac{351}{8 \times 100} \times 2.35 \\ \frac{824.85}{800} = \boxed{\$1.0310625}[/tex]

$ 1.0310625 is the right answer.

You draw a card from a standard deck of cards three
times. What is the probability that you draw a spade,
then a red card, and then a face card (Jack, Queen, King)
with the following conditions. (Leave answers as fractions
in reduced form)
WITHOUT REPLACEMENT OF CARD

Answers

Answer:

yasssssss queen/king

Step-by-step explanation:

Evaluate x^2 + 2x -1 when x = -3
help

1. -2
2. 2
3. 16
4. -15

Answers

Answer:

2

Step-by-step explanation:

just put -3 to x

9-7=2

X^2 + 2x - 1 when x = -3
= -3^2 + 2(-3) -1
= 9 - 6 - 1
= 3 - 1
= 2
So the answer to this question is 2.
Also, I just want to say happy new year to you and also, have a fantastic rest of your day.
Also, can you please mark my answer as the brainliest answer?
Thank you!!

All you need the photo

Answers

The average rate of change of h(t) = -16t ² + 40t + 4 between t = 0 and t = 2 is

(h (2) - h (0)) / (2 - 0) = ((-16×2² + 40×2 + 4) - (-16×0² + 40×0 + 4)) / 2

… = ((-64 + 80 + 4) - 4) / 2

… = 16 / 2

… = 8

h(t) is measured in feet, so the average rate of change is measured in feet per second, so it's 8 feet per second.

Question
8 - (-7) =
Plz help me!!!

Answers

Answer:

8-(-7)=

8(7)=

8+7=15

Step-by-step explanation:

prove me wrong

How is the circumference of a circle related to its diameter

Answers

The circumference is usually three times as much as the diameter

is this table linear or exponential what us the slope and what is the equation ?​

Answers

Answer:

this table is exponential

Step-by-step explanation:

the way we can tell this is because we can find a common ratio of 4. we know this because linear tables have a common difference exponential tables have a common ratio. i found this answer by dividing 32,768 and 8,192

32,768/8,192 = 4

you can find a linear function by subtracting point 1 and point 2.

I need help on this with solutions please

Answers

Answer:

See answers below:

1. AAS2. ASA3. SAS4. HL5. SSS6. ΔABC ≅ ΔDFE7. ΔTRS ≅ ΔTUV8. ΔTRS ≅ ΔSUT9. ΔCAB ≅ ΔFDE

Ramona went out with her 3 sisters, they spent $58 plus
9% tax on their meal. They also left a 15% tip. If they divided
up the bill evenly, how much did each of them spend?

Answers

Problem:

Ramona went out with her 3 sisters, they spent $58 plus 9% tax on their meal. They also left 15% tip. If they divided up the bill evenly, how much did each of them spend?

Solution:

[tex] \frac{58 + 58(9\% + 15\%)}{3} [/tex]

[tex] = \frac{58 + 58(0.09 + 0.15)}{3} [/tex]

[tex] = \frac{58 + 58 \times 0.24}{3} [/tex]

[tex] = \frac{58 + 13.92}{3} [/tex]

[tex] = \frac{71.92}{3} [/tex]

[tex] = 23.97[/tex]

Answer:

Each of them did spend $23.97

#CarryOnLearning

#AnswerForTrees

#BrainlyBookSmart

Ten less than three times a number is 2.

Answers

Answer:

the number is 4

Step-by-step explanation:

4 times 3=12

12-10=2

hope this helps!

Answer:

it's 7!

Step-by-step explanation:

I GIVEEE BRAINLILSTT

Answers

Answer:

(x, y)  -->   (x + 14, y + 8)

Step-by-step explanation:

Look at 1 original point and its corresponding translated point.

Let's look at F and F'.

To go from F to F', you need to go right in x 14 units.

Then you need to go up in y 8 units.

The translation rule is to add 14 to x and 8 to y.

(x, y)  -->   (x + 14, y + 8)

Answer:

fhddffhfdjdfgjmtgfjn

Step-by-step explanation:

fgngng ndgngfnngfngfn

Write the equation that describes the line with slope = 4 and y-intercept = -2 in slope-intercept form.

Answers

Answer:

2 66

Step-by-step explanation:

beacuse ima gansta and you a cracka so whats up with it

16 is a factor of 24.
O A. True
O B. False

Answers

The answer is b/false I hope this help
false, the factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

Jack can make 3 cups of croutons from
5 slices of bread. How many cups of
croutons can he make from 35 slices of
bread?

Answers

Answer:

there are 7 fives in 35

and each 5 slices makes 3 cups

so,,7×3=21 cups

Answer:

21 cups

Step-by-step explanation:

Could you describe the expression 2(3+4) as a product of two factors?​

Answers

the answer will be 10 just multiply the numbers

how do i do this please help!

Answers

Answer:

id no lollll prob 3

Step-by-step explanation:

What is the length of side EF in the triangle? Please give a step by step explanation, I'm having lots of trouble finding the solution. Thank you!

Answers

Answer:

EF = 8.8 cm

Step-by-step explanation:

In the given right angled ΔDEF, DE is the hypotenuse while EF and DF are adjacent sides. So that applying the Pythagoras theorem, we have;

[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]

[tex]/DE/^{2}[/tex] = [tex]/EF/^{2}[/tex] + [tex]/DF/^{2}[/tex]

[tex]/16.2/^{2}[/tex] = [tex]/EF/^{2}[/tex] + [tex]/13.6/^{2}[/tex]

262.44 = [tex]/EF/^{2}[/tex] + 184.96

[tex]/EF/^{2}[/tex] = 262.44 - 184.96

          = 77.48

EF = [tex]\sqrt{77.48}[/tex]

     = 8.8023

EF = 8.8 cm

The length of side EF is 8.8 cm.

Please help it’s so important

Answers

Given:

In [tex]\Delta ABC, \overline{CA}=\overline{CB}[/tex].

[tex]\overline{CD}[/tex] is an altitude drawn from C to [tex]\overline{AB}[/tex].

To prove:

[tex]\overline{CD}[/tex] bisects [tex]\overline{AB}[/tex].

Proof:

In [tex]\Delta ABC[/tex], [tex]\overline{CD}[/tex] is an altitude drawn from C to [tex]\overline{AB}[/tex].

It means, [tex]\Delta ACD\text{ and }\Delta BCD[/tex] are right angle triangles.

In [tex]\Delta ACD\text{ and }\Delta BCD[/tex],

Hypotenuse : [tex]\overline{CA}=\overline{CB}[/tex]       [Given]

Leg : [tex]\overline{CD}=\overline{CD}[/tex]       [Common]

If the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then by HL postulate both triangles are congruent.

[tex]\Delta ACD\cong \Delta BCD[/tex]        [HL postulate]

[tex]\overline{AD}\cong \overline{BD}[/tex]       [CPCTC]

[tex]\overline{AD}=\overline{BD}[/tex]

It means, point D is the midpoint of [tex]\overline{AB}[/tex].

So, [tex]\overline{CD}[/tex] bisects [tex]\overline{AB}[/tex].

Hence proved.

joe boght 15 tolets. 1 was pure gold 2 were pure silver and the rest were wooden. how many wooden toilets were there?

Answers

12.
It is easy all you have to do is 15-3 because 1+2=3

What is the slope of line p?

Answers

Answer:

2/3

Step-by-step explanation:

Slope is rise over run which is 2/3

Answer questions 3,4, and 7.

Answers

3). They all equal eight. Set 2(x-6) and 3x-20 equal to each other, then solve.

You can apply this to the other problems as well, I hope this helps :)
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