Two square pyramids are similar.
The sides of the bases are 4 cm and
12 cm. The height of the smaller
pyramid is 6 cm. Find the height of
the larger pyramid.

Answers

Answer 1

Answer:

18 cm

Step-by-step explanation:

Since the pyramids are similar then the ratio of corresponding sides are equal, that is

12 ÷ 4 = 3

Then the height of the larger pyramid is 3 times the height of the smaller.

height of larger pyramid = 3 × 6 = 18 cm


Related Questions

23/147 yd × 3/14 after reducing them by a factor of 2/147 what are the original dimensions of the playground in yards? Write your answer with mixed numbers

Answers

Answer:

So the dimensions are 11 1/2 yds × 15 3/4 { 11 whole number 1 by 2 yards multiplied by 15 whole number 3 by 4}

Step-by-step explanation:

Here multiplicative property will be used .

a*1/a= 1

1* a/1= a   ( reciprocal)

23/147 yd × 3/14 will be multiplied with the reciprocal of the factor 2/147 to

get the original number.

23/147 yd*147/2 × 3/14*147/2

23/2 yds  × 441/28

11 1/2 yds × 15 3/4

So the dimensions are 11 1/2 yds × 15 3/4  11 whole number 1 by 2  multiplied by 15 whole number 3 by 4.

Which expression is equivalent to x^2-7x+12+(X-3)^2

Answers

Answer:

2x²−13x+21

Step-by-step explanation:

Answer: x+4/x-4

Step-by-step explanation:

i need help plsssssssss

Answers

5 )

x^2 = 5^2 + 5^2

x^2 = 2 × 5^2

x = √( 2 × 5^2 )

x = 5√2 cm

_____________

6 )

x^2 = 30^2 + 40^2

x^2 = 900 + 1600

x^2 = 2500

x = √2500

x = 50 yards

The most Stanley can afford to pay per year in mortgage payments is $12,000, and his credit score is currently 544. According to the following table for a $150,000 mortgage, by how many points would he need to improve his credit score in order to take a mortgage for $150,000? FICO Score 720-850 700-719 675-699 620-674 560-619 500-559 Interest Rate 5.59% 5.71% 6.25% 7.40% 8.53% 9.29% Monthly Payment $860 $872 $924 $1,039 $1,157 $1,238 O A. 156 points OB. 131 points O C. 76 points O D. 14 points​

Answers

B. Is the correct answer

The answer is not listed in the options. The credit score points are 170.

What is a credit score?

To determine the answer, we need to find the interest rate and monthly payment associated with Stanley's credit score of 544.

Since Stanley's credit score is not listed in the table, we need to estimate the interest rate and monthly payment based on the information provided. Generally, the lower the credit score, the higher the interest rate and monthly payment.

Let's assume that Stanley's interest rate would be 10% and his monthly payment would be $1,000 based on his credit score of 544.

Using the table, we can see that for a $150,000 mortgage with a 10% interest rate, the monthly payment would be $1,316.

Now, we need to determine how much Stanley can afford to pay per year in mortgage payments, which is $12,000. We can divide $12,000 by the monthly payment of $1,316 to get the number of payments he can make in a year: $12,000 ÷ $1,316 = 9.12 payments.

Since there are 12 months in a year, Stanley can only make 9 payments per year. Therefore, he can only afford a mortgage with 9 payments of $1,316, which is $11,844 per year.

To afford a $150,000 mortgage, Stanley would need to lower his interest rate or increase his monthly payment. Since he cannot afford a higher monthly payment, he would need to improve his credit score to lower his interest rate.

Looking at the table, we can see that the interest rate associated with a credit score of 675-699 is 6.25%, which would result in a monthly payment of $924. To afford a $150,000 mortgage with a monthly payment of $924, Stanley would need to improve his credit score by 544 - 675 + 1 = 170 points.

Therefore, the answer is not listed in the options.

To know more about credit scores follow

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What is the surface area? 17 ft 16 ft 17 ft 19 ft 15 ft

Answers

Answer:

1,317,840

17×17=289×16=4,624×19=87,856×15=1,317,840

Can someone please give me a lesson on angles of depression and elevation?

Answers

Answer:

Angles of depression and elevation

The term angle of elevation denotes the angle from the horizontal upward to an object. The term angle of depression denotes the angle from the horizontal downward to an object. ... An observer's line of sight would be below the horizontal.

Step-by-step explanation:

I hope it's help u

Find the measure of the arc.
A
146°
E
ĀC = [ ? ]

Answers

Answer:

90°

Step-by-step explanation:

m arc AC = 90°

_____________

The measure of the arc length AC is 90 degrees.

What is an arc length of a circle?

The arc length of a circle is the distance between two points on the curve of the circle.

We have,

The arc length and the angles with the center on a circle are equal.

So,

Arc length AC makes a 90-degree angle with the center of the circle.

Now,

Arc AC = 90 degrees.

Thus,

The measure of the arc length AC is 90 degrees.

Learn more about arc lengths here:

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pls help me in my math subject​

Answers

Answer:

you need all answers????

What is the value of X?

Answers

Answer:

x=20

Step-by-step explanation:

First, find LJ

Angle L = 60 (180 - 30 - 90)

The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

cos(L)=adj/hyp

cos(60)=LJ/40√2

LJ = cos(60)*40√2

LJ = 20√2

Now you can use LJ to find x. You also know the value of each angle, 45

x=20√2⋅cos(45)

x=20

What is the value of x?

Answers

Answer:

it's 19 degrees because it's a 90 degree angle

Answer:

19 degrees

Step-by-step explanation:

90-71=is 19 because it is a 90 degree angle.

what is the algebraic equation of the product of twenty and five minus seventy-eight is n?

a. (20-5)-78
b. (20+5)+78
c. (20×5)+78
d. (20×5)-78​

Answers

Answer:

d

Step-by-step explanation:

16. A map is drawn on a coordinate plane.
Each unit represents 10 miles. Terri
drives from her home at point G to her
friend's home at point H, following the
route shown below. Terri drives steadily
at 50 miles per hour. How long is the
distance between the two points? How
long will it take Terri to get from point
G to point H?

Answers

Answer:

can't answer without the picture because you need the route to know how far.

What is the value of x in the figure shown below?
C
4.9
D
31°
4
111°
B В
A
4.9​

Answers

Answer:

Step-by-step explanation:

for missing angle of triangle ABC

let the missing angle be y

31+111+x=180(sum of interior angle of a triangle is 180 degree)

142+y=180

y=180-142

y=38 degree

x=y(being alternate angles)

x=38 degree

List the inventions of charles Barbbage.​

Answers

Answer:

1.anlyatical engine

2.difference engine

Answer:

Inventions of Charles Babbage :

ComputerAnalytical EngineDifference enginePilot

sr nie wiem o co chodzi ale muszę to zrobić do 18 pani od korków mi tak przysłała lol. DAJE NAJ !!!

Answers

Answer:

(1/2)^2= 0.25 thank you

All sides of the convex pentagon $ABCDE$ are of equal length, and $\angle A = \angle B = 90^\circ$. What is the degree measure of $\angle E$?

Answers

Answer:

∠E = 150°

Step-by-step explanation:

All sides of the convex pentagon ABCDE are of equal length, and ∠A = ∠B = 90°. What is the degree measure of ∠E?

Solution:

A pentagon is a polygon with five sides and five angles. For a regular polygon, all the sides are equal and each angle is 108°.

Since ∠A and ∠B are right angles, and AE = BC = AB = CE. Therefore ABCE is a square. This means ∠AEC = 90°

Also triangle CDE is equilateral because all sides of the triangle are equal, hence ∠DEC = 60°.

Therefore ∠E = ∠AEC + ∠DEC = 90° + 60°

∠E = 150°

using the triangle 45o -45o -90o theorem solve this triangle. please​

Answers

Answer:

k = 24·√2

Step-by-step explanation:

Given that the angles of the triangle are 45° by 45 by 90°, we have;

The given right triangle = An isosceles right triangle by two angles being equal

The given angle of the right triangle = 90°

The given leg of the right triangle = 24

For an isosceles right triangle, both legs are equal, therefore;

The length of the other leg of the right triangle = 24

By Pythagoras theorem, the measure of the side opposite the 90° side, 'k', is given as follows;

k² = (One leg length)² + (The other leg length)²

∴ k² = 24² + 24² = 1152

k = √1152 = 24·√2 ≈ 33.94.

Please help me with these questions. Thank you. I will mark you as brainliest.

Answers

Answer:

1 = ∠5 (corresponding angle)

⇒∠5 = 50 deg

∠5+∠6=180 deg   (total sum is 180)

50+∠6=180

∠6=180-50

∠6=130

Step-by-step explanation:

∠5=86 (corresponding angle)

∠5=(4x+38) (vertically opp angle)

86=4x+38

4x=86-38

4x=48

x=12

Answer:

angle 1+angle 6=180(being exterior alternate angle)

50+angle 6=180

angle 6=180-50

angle 6=130

for value of x

angle 5=86 degree(being corresponding angle)

angle 5=angle 4x-38

86=4x-38

86+38=4x

124/4=x

31=x

relationship between angle 2 and 6 is they are corresponding angles

angle 1=63+61

angle 1=124 degree

5 no .second option is correct

6 no a=75 degree

last question answer =34 degree

Step-by-step explanation:

x/2
If x = 16, what is the solution?

A 8
B 9
C 14
D 32​

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\rm{YOUR\ EQUATION: \dfrac{x}{2}}[/tex]

[tex]\large\text{If x = 16, then substitute it where the x-value is in the given equation}[/tex]

[tex]\rm{NEW\ EQUATION: \dfrac{16}{2}}[/tex]

[tex]\rm{\dfrac{\bold{16}}{{2}}[/tex]

[tex]\rm{= \underline{\bf 8}}[/tex]

[tex]\large\text{Because, 8}\times\large\text{2 gives you 16}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf Option A. 8}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Set up an equation that can be used to solve the variable.

Answers

So sin in math means:

In a right angled triangle, the sine of an angle is: The length of the side opposite the angle divided by the length of the hypotenuse. The abbreviation is sin.

Con in math means:

In a right angled triangle, the cosine of an angle is: The length of the adjacent side divided by the length of the hypotenuse. The abbreviation is cos. cos(θ) = adjacent / hypotenuse.

in this case it has to be a sin. So its either A, or B.

ii think a tho

Answer:

(a)

Step-by-step explanation:

Sin (37) = x/10.3

using trigonometric identity (Sin θ = AC/AB)

How many edges does the following shape have?

Answers

Answer:

8. hope this helps

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

I need help with these question please help me!!

Answers

The correct answer is n - 7 = 30

What is the value of the expression below?

Answers

Answer:

7

Step-by-step explanation:

When you are raising a power to a power, you can multiply them:

[tex](49^3)^{\frac{1}{6}}=49^{3*\frac{1}{6}}[/tex] = [tex]49^{\frac{3}{6}}[/tex] = [tex]49^{\frac{1}{2}}[/tex]

When raising a number to the power of 1/2, you are basically finding the square root of the number:

[tex]49^{\frac{1}{2}}[/tex] = [tex]\sqrt{49}[/tex] = 7

which is the most appropriate
instrument used to measure capacity​

Answers

Answer:

Spirometer measurement is the most appropriate instrument to use

Step-by-step explanation:

How many square yards of carpet are needed for a 21x18 living room?

Answers

Answer:

13 i think

Step-by-step explanation:

A Dilation has a center (0,0). Find the image of this point for the given scale factor: P (2-4); D 0.5 (P)

Answers

Answer:

(1, -2)

Step-by-step explanation:

The dilation that has a center of (0, 0) means that you would multiply each number in your coordinate point by your given scale factor.

For your given point (2, -4) with a scale factor of 0.5:

2 times 0.5 = 1

-4 times 0.5 = -2

Therefore your new point will be (1, -2).

Help me PLEASEEEE AND QUICKKK

Charles bought a box of fruit that contain only oranges and tangerines there were five oranges for every three tangerines in the box there were 20 oranges in the box which of the following proportion can be used to find X the number of the tangerines in the box A. 5/8 = x/20 B. 5/8 = 20/x C. 5/3 = x/20 D. 5/3 = 20/x

Answers

Answer:

D

Step-by-step explanation:

Ratio of oranges to tangerines : 5/3

Oranges in box : 20

Tangerines in box : x

Oranges/Tangerine ratio = Oranges/Tangerine in box

5/3 = 20/X

Lines a and b are parallel. What is the measure of angle b? Enter your answer in the box. ​25 point question btw

Answers

Answer:

79 degrees

Step-by-step explanation:

79 degrees is parallel to a. The line below is the same as the line above, since they are parallels, beaning d and b also are both 79 degrees

Answer:

[tex]79^{\circ}[/tex]

Step-by-step explanation:

From vertical angles, [tex]m\angle a=79^{\circ}[/tex]

From corresponding angles, [tex]m\angle b=m\angle a[/tex]

Therefore, we have [tex]m\angle b=m\angle a=\boxed{79^{\circ}}[/tex]

Rationalize the denominator and simplify √a + 2√y/√a-2√y

Answers

Answer:

[tex]\sqrt{a} + \frac{2\sqrt{ya} }{a} - 2\sqrt{y}[/tex]

Step-by-step explanation:

Simplify each term.

Find x segment of circles

Answers

Answer:

x = 9

Step-by-step explanation:

When two chords intersect inside a circle, the product of the lengths of the segments of one chord equals the product of the lenfgths of the segments of the other chrod.

That means that

2x = 3 × 6

2x = 18

x = 9

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