The height of a triangle is 8 times it’s base. The area of the triangle is 784 square centimeters. Find the base and height of the triangle

Answers

Answer 1
Let the base be x cm,
Therefore height= 8x cm

Area of triangle = 8x(x) / 2 = 784 cm2
8x^2 = 1568
x = 14

Base = 14 cm
Height = 14x8 = 112 cm
Answer 2

Answer:

b = 14 cm , h = 112 cm

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Given height is 8 times base , then h = 8b and A = 784 , then

[tex]\frac{1}{2}[/tex] × b × 8b = 784

b × 4b = 784

4b² = 784 ( divide both sides by 4 )

b² = 196 ( take square root of both sides )

b = [tex]\sqrt{196}[/tex] = 14

Then base b = 14 cm and height h = 8 × 14 = 112 cm


Related Questions

solve x. 24-8x=-16 and have a bless day

Answers

Answer:

x = 5

Step-by-step explanation:

24 - 8x = -16

Subtract 24 from both sides.

-8x = -40

Divide both sides by -8.

x = 5

Answer:

5

Step-by-step explanation:

24 - 8x = -16

24 + 16 = 8x

8x = 40

x = 40/8

= 10/2

= 5

Please help I will give brainless if correct: What are the coordinates of Q

Answers

Answer:

4,3

Step-by-step explanation:

The coordinates of Q are (4,3).

Answer:

(4,3)

Step-by-step explanation:

x-axis is 4 and y-axis is 3

Jennifer installs solar panels. Today it takes her 8
hours to install 2 solar panels. She plans to install
solar panels for 40 hours next week.

Answers

10 solar panels according to me is the answer

Answer: 10

Step-by-step explanation:

40 hours/8 hours = 5 hours

5 hours *2 solar panels = 10 solar panels

Since it takes her 8 hours to install 2 solar panels, we need to multiply 5 with 2.

A train has an odd number of cars. The number of cars Is greater than 1 and less than 9

Answers

I think the correct answer is 3


BRAINLIEST PLEASE

help! QUICK! NO BOTS!

Answers

Answer:

number 2 or 4 but i think 2

Step-by-step explanation:


6
How much
10 500
A pile of bricks weighs 22 kg.
18750g of bricks are removed. What weight is left?

Answers

Answer:

3,250g

Step-by-step explanation:

22kg = 22,000g - 18,750g = 3250g

What is the decimal multiplier to increase by 1.5 pls do the step by step explanation ineed help

Answers

Answer:

Just an explanation so you can understand

Step-by-step explanation:

To increase, or decrease a number N, by a percentage X% we multiply N by a percentage multiplier (often just called multiplier).

We can calculate any percentage increase, or decrease, in three steps:

Step 1: write X% in decimal form. Remember, this is done by moving the number X back two decimal places.

Example: 5%=0.05, 12%=0.12, ... .

Step 2: Calculate the percentage multiplier by adding, or subtracting, the decimal found in step 1 to, or from, 1

For percentage increases: add the decimal to 1.

For percentage decreases: subtract the decimal from 1.

Step 3: multiply the number N by the multiplier, found in Step 2.

A car travels 23 km in 15 minutes. How fast is it going in kilometres per hour?

Answers

Answer:

96 km/h.

Step-by-step explanation:

23 x

-- = ----

15 60

60/15 = 4

24 x 4 = 96

x = 96

can someone please help me i’m not doing so well in this new topic

Answers

Answer:

m<H= 80*

m<P= 80*

m<I= 33*

M<Q= 33*

M<J=67*

M<R=67*

Step-by-step explanation:

Given States that ️ HIJ = ️ PQR

<H=<P

2x=x+40

2x-x=x-x+40

x=40

<I=<Q

<J=<R

ALL TRIANGLES MEASURE 180*

Y= the measure of <R and <J

2x+33+y=180

2(40)+33+y=180

80+33+y=180

113+y=180

113-113+y=180-113

y=67

Answer:

See answer below

Step-by-step explanation:

If ΔHIJ ≅ ΔPQR ,then you know six  congruent parts:

 ∠H ≅ ∠P ; ∠I ≅ ∠Q;  ∠J ≅ ∠R    and HI ≅ PQ; HJ ≅ PQ ; IJ ≅ QR

   ∠H ≅ ∠P         ∠I ≅ ∠Q

2x = x + 40°          ∠I = 35°

x = 40°

So ∠H = 2x = 2(40) = 80°                        Δ HIJ = 180°

    ∠P = x + 40 = 40 + 40 = 80°               ∠H + ∠I  + ∠J = 180°

    ∠Q = 35°                                                  80° + 35° + ∠J = 180°

    ∠ I = 35°                                                   115° + ∠J = 180°

    ∠ J = 65°                                                          ∠J = 65°

    ∠R = 65°                                                      ∠J ≅ ∠R

In Joe's fish tank, there are 5 goldfish and 12 snails. How does the ratio 5:17 describe Joe's fish
tank?
Choose the correct answer below.
O A. The ratio 5:17 compares the number of snails to the number of goldfish.
OB. The ratio 5:17 compares the number of snails to the total number of animals.
OC. The ratio 5:17 compares the number of goldfish to the total number of animals.
OD. The ratio 5:17 compares the number of goldfish to the number of snails.

Answers

Answer:

OC. 5:17 compares the amount og goldfish he has to the amount of total animals he has

plzzz help?????????????????????

Answers

Answer:

Step-by-step explanation:

Pythagorean theorem: base ² +altitude² = hypotenuse²

1) hypotenuse² = base² + altitude²

          x² = 6² + 3²

               = 36 + 9

               = 45

         x = √45

         x = 6.7 cm

4) base ² +altitude² = hypotenuse²

x ² + 3.7 ² =  4.2 ²

x ² + 13.69 = 17.64

             x ² = 17.64 - 13.69 = 3.95

             x = √3.95

            x = 1.99 cm

10)c ² = a ² + b ²

           = 3 ² +4 ²

         = 9 + 16

  c ² = 25

c = √25 = 5

11) a ² + b ² = c ²

9 ² +b² = 13 ²

81 + b² = 169

     b² = 169 - 81 = 88

b = 9.38

12) a² + b² = c²

12² + b² = 22²

  144 + b² = 484

           b² = 484 - 144 = 340

           b =√340 = 18.44

               

If x= √3, find the value of x⁴.​

Answers

Answer:

9

Step-by-step explanation:

Hi there!

We're given that x=√3, and we want to find the value of [tex]x^4[/tex]

We can substitute √3 as x, and then raise it to the 4th power, but if you don't know what that number is, it might be difficult to figure it out.

An easier way would be to write [tex]x^4[/tex] as x² * x², which in that case, we can multiply √3 by itself, multiply √3 by itself again, and then multiply those 2 numbers together.

If we do it this way, it'll look something like this (remember: x² is equal to x*x, or (x)²:

(√3)² * (√3)²

The order of operations will ask us to first take care of what's in the parentheses, and then to raise the numbers to their powers. Starting with the number on the left of the multiplication sign,

(√3)² = (√3)(√3)=3

And then the number on the right of the multiplication sign:

(√3)² = (√3)(√3)=3

Substitute these numbers in as (√3)² and (√3)²:

3 * 3 = 9

Therefore, x² * x², or [tex]x^4[/tex] is equal to 9

Hope this helps!

Pls help me.
I will mark as brainliest answer​

Answers

Answer:

B

Step-by-step explanation:

volume= l ×b×h or l3

5×5×5 =125

ABC is a right angle triangle. Calculate the length of BC
Give your answer correct in 1 decimal place
AB= 6.7 cm
AC= 16 cm

Answers

Answer:

I don't know sorry I haven't studied this at all I am in 7th grade only so

Can you please help me ASAP!!!
Please help ???
:)


x+8=3x

Answers

Your welcome!

x = 4

Please mark brainiest

The answer will be x = 4, the way to know that is practically move the 8 to the side where is the 3 and convert the positive 8 into a negative 8, then you move the 3 to the other side an change it into a negative 3 to then subtract the 3 with the x and have -2. After that you divide the -2 with the -8 and there is your answer

The midpoint of DF is E(-5, 4). If the coordinates of Fare (-4, 2), What are the coordinates of D?

Answers

Answer:

(-6,6)

Step-by-step explanation:

How to find an area of a trapezium

Answers

Answer:

A = 87.5 sq cm

Step-by-step explanation:

A = 1/2·h·(sum of bases)

A = 1/2 · 7 · (10 + 15)

A = 3.5(25)

A = 87.5 sq cm

What number has 7 as 1/10

Answers

70
7x10=70
So 1/10 of 70 is 7

What is "o"? will get 15 points for correct answer.

Answers

Answer:

54 Degrees

Step-by-step explanation:

We know that a triangle has to have 180 degrees in all. we also know that the bottom lines is a straight angle, so 180 degrees.

using this information, we can find n. We know that n+78 is 180, so n=102

We also know that o+102+24=180, so

o=54

Hope this helps!

Find the factorization of the polynomial below. 81X2 - 18x+1

A. (18x-1)2
B. (9x-1)2
C. (9x + 1)2
D. (18x + 1)2​

Answers

Answer:

B.(9 x -1)^{2}

Step-by-step explanation:

Rewrite the expression into the form of a^2\pm 2ab+b^2:(9 x)^{2} - 2 \times 9 x + 1^{2}

Factor the expression using a^{2}\pm 2ab+b^{2}=(a\pm b)^{2}:(9 x -1)^{2}

we have  81x^2 - 18x+1 = (9x)^2 -2.9x + 1 = (9x -1)^2

ok done. Thank to me :>

Find x and y. ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

Answers

Answer:

x = 36°y = 48°

Step-by-step explanation:

Given:

ΔABC ≅ ΔFDEWe can tell that y = 48° because ΔABC ≅ ΔFDE. We can also tell that ∠DEF = 108 because ΔABC ≅ ΔFDE.

Let's first try to simplify ∠CAB in ΔABC. Then we can find the 'x' in ΔFDE with the help of ΔABC.

ΔABC = 108 + 48 + ∠CAB = 180°

=> 156 + ∠CAB = 180°

=> ∠CAB = 24°

=> 48 + 108 + 2x - 48 = 180°

=> 108 + 2x = 180°

=> 2x = 72°

=> x = 36°

So, after working on this problem, we can conclude that 'x = 36°' and 'y = 48°'. Hoped this helped.

Answer: x=36, y=48

Step-by-step explanation:

The sum of the angles in a triangle is 180.  From triangle ABC we see that:

108 + 48 + Z = 180, where Z is the unknown third angle.

156  + Z = 180

Z= 24 (angle CAB).

Since the triangles are similar, we can say angle EDF(y) is equal to angle CAB (48).  Thus,

y = 48

we can also say that angle CAB is the same as angle DFE:

24 = (2x-y)  

24=2x-48

72=2x

x=36

I need help with 12 please

Answers

B ) 6
6 x 3 + 9 is 27
6 x 5 - 3 is 27

I HAVE A SEMICIRCLE WITH A DIAMETER 16cm. How do I find the perimeter of the SEMICIRCLE

Answers

Answer:

Perimeter of Semicircle

The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.21-Oct-202

Answer:

Perimeter is 41.1327 centimeters

Step-by-step explanation:

The perimeter of a semi-circle is the circumference of the full circle plus the length of the diameter.

To find the circumference of a circle, just multiply the diameter by pi:

[tex]c=\pi\times d\\c=\pi\times 16\\c=50.2655[/tex]

Now, add the diameter to half of it:

[tex]p=\frac{c}{2}+d\\p=\frac{50.2655}{2}+16\\p=25.1327+16\\p=41.1327[/tex]

sebuah mobil dalam 12 km menghabiskan bensin 1 liter. apa bila mobil menempuh jarak 96 km ,maka bensin yang di butuh kan adalah__liter

Answers

☆Jawaban :

[tex] \frac{12}{1} = \frac{96}{x} [/tex]

[tex] 12x = 96[/tex]

[tex]x = \bold{8liter}[/tex]

6) The 4,000 students at Tech High were surveyed about their use of text
messaging. How many students said they text 50-100 times a day? *
1 point
How many text messages do you send
a day?
0-50
10%
50-100
75%
100-150
10%
More than 150
5%
Your answer

Answers

Answer: 3,000

Step-by-step explanation:

4,000 divided by 4 is 1,000. This means that 25% of 4,000 is equal to 1,000. 75 divided by 3 is 25. Multiply 1,000 times 3 to get your answer, 3,000, which is 75% of 4,000.

If the tires of a car have a diameter of 24 in., how many miles will the car travel when the tires make 16,000 revolutions

Answers

You just multiply by the two and however many meters miles or step is being taken

5.) Which is the best deal? *
$25 for 5 pizzas
$32.48 for 7 pizza
$27.45 for 3 pizzas
$28.74 for 4 pizzas

Answers

Answer:

$27.45 for 3 pizzas

In my opinion

Answer:

$32.48 for 7 pizzas

Step-by-step explanation:

25 divided by 5 = $5

32.48 divided by 7 = $4.64

27.45 divided by 3 = $9.15

28.74 divided by 4 = $7.185

0 4
2 10
4 16
6 22
what is the slope?
what is the y-intercept?
proportional or not proportional?​

Answers

I think is non proportion

Triangle PQR is an isosceles triangle with the coordinates P(2, 3), Q(5, 10), and R(8,3).

What is the area of triangle PQR

Answers

Answer:

b

Step-by-step explanation:

Help me please!! it's due today​

Answers

Answer:

the answer would be 14-16=-2

Step-by-step explanation:

first u look where the first long arrow goes on this problem then you follow the second arrow which stops at 6 then u count how much until negative 2. but how I did it is the form 14 how much to 0 which is 14 the I count how many until I get to -2 and there's the answer

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