The square pyramid shown below has a base with sides of 10 units. The slant height of the pyramid is 8 units. What is the vertical height, h?

Answers

Answer 1

Make a right triangle by using half the base and using the Pythagorean theorem calculate the height.

Height = sqrt(8^2 - 5^2)

Height = sqrt(64 - 25)

Height = sqrt(39)

Height = 6.245 ( Round the answer as needed).

Answer 2

Answer:

6.2

Step-by-step explanation:

We can use the Pythagorean Theorem to find h.

The equation for the Pythagorean Theorem is a^2+b^2=c^2

We see that the hypotenuse of the right triangle is 8. One leg is h. The other leg is 5 , which is half the length of the base.

We have:

a^2+b^2=c^2

5^2+h^2=8^2

25+h^2=64

h^2=39

h= square root of 39

h = 6.244

6.2


Related Questions

Which of the following answer is equivalent to this expression 8+12x

Answers

Answer:

what is the answer choices

Step-by-step explanation:

answer:

4(2+3x)

step-by-step explanation:

4(4+3x)=16+12x

4(x+3x)=16x

3(5+9x)=15+27x

4(2+3x)=8+12x

how to solve 4(2+3x):

4(2+3x)

=(4)(2+3x)

=(4)(2)+(4)(3x)

=8+12x

good luck :)

hopefully, this helps

have a nice day !

Find the area of the following rectangle.
length = 12 ft.
width = 8 ft.

Answers

Answer:

96 ft

Step-by-step explanation:

A= bh

A = 12 x 8

A = 96

Answer:

96 ft^2

Step-by-step explanation:

12*8


Need help with quadrilaterals

Answers

The value of x is 72 degrees.

The red thing at the top is a right angle. Find the missing side lengths and leave answers as radicals in simplest form ILL GIVE BRAINLIEST

Answers

Answer:

A. x = 13

y = (13√3)/3

Step-by-step explanation:

Reference angle = 30°

Hypotenuse = (26√3)/3

Adjacent = x

Opposite = y

✔️Apply CAH to find x:

Cos 30 = Adj/Hyp

Cos 30 = x/(26√3)/3

√3/2 = x*3/(26√3) (cos 30 = √3/2)

√3/2 = 3x/(26√3)

Cross multiply

2*3x = (26√3)*(√3)

6x = 26*3

6x = 78

x = 78/6

x = 13

✔️Apply SOH to find y:

Sin 30 = Opp/Hyp

Sin 30 = y/(26√3)/3

Sin 30 = y*3/(26√3)

½ = 3y/(26√3) (sin 30 = ½)

Cross multiply

2*3y = (26√3)*1

6y = 26√3

Divide both sides by 6

y = (26√3)/6

y = (13√3)/3

erica watch 1/2 of a movie in the morning and she watched some at night and by the end of the day she still had 1/3 of left how much did she watch at night?​

Answers

Convert to equivalent fractions to see
Both bottom s can be 6
So times the half by 3
And times the third by 2
1/2=3/6
1/3=2/6
So she has a total of 5/6 of the movie accounted for...
So the left over is 1/6
1/6 at nighttime

if you say i need help i will be their right away because your in danger

Answers

Answer:

oh wow thx

Step-by-step explanation:

Chelsea writes the expression (n + 1)(n + 2) + 2n for the number of circles used to make the nth figure in the pattern shown.
Drag statements to the table to explain what each term in this expression tells you
about the figure

Answers

Answer:

(n + 1)(n + 2): Number of circles that make the center group of circles

2n: Number of circles on both sides of the center group

Step-by-step explanation:

It makes sense

It was right for me

ast week, a coral reef grew 20.4mm taller. How much did it grow in meters

Answers

Answer:

0.0204 meters

Step-by-step explanation:

Answer:

0.0204

Step-by-step explanation:

1 metre=1000 metres

x = 20.4

cross mutiply

20.4/1000

0.0204

A rectangle is 6 centimeters longer than it is wide.
Its length and width are both increased by
4 centimeters.

Answers

Answer and Step-by-step explanation:

The length = 6 + w

The width = w

Rectangle when the length and width is increased by 4 centimeters.

length = 10 + w

width = 4 + w

#teamtrees #PAW (Plant And Water)

Jose deposits S300 into an account that pays simple interest at a rate of 6% per year. How much interest will he be paid in the first 3 years?

Answers

Answer:

$54

Step-by-step explanation:

300 times 0.06 times 3

0.06 times 3 = 0.18

300 times 0.18 = 54

The simple interest is $54

Answer:

$54

Step-by-step explanation:

A = P(1 + rt)

300(1 + (0.06 × 3)) = 354

Suppose there is a 1.9°F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 48.8°F​, what will be the temperature when the plane reaches an altitude of 8,000 ft​?

Answers

Answer:

33.6 degrees F

Step-by-step explanation:

8000/1000 = 8

8(1.9) = 15.2 degree drop

48.8 - 15.2 = 33.6 degrees F

The volume of this sphere is 15500cm3.
Work out the length of the radius,
r
.
Give your answer rounded to 1 DP

Answers

Answer:

r = 15.5

Step-by-step explanation:

4/3 pi r^3 = 15500 cm^3

r^3 = 15500 ÷ (4/3 pi)

r^3 = 3700.35

r = cube root of 3700.35

r = 15.467

r = 15.5

Answer:

4/3 π r³= 15500

r³=15500×3/4×7/22

r≈15.2 cm

Step-by-step explanation:

WILL GIVR YOU BRAINLEST PLEASE HELP ASAP!
Lines & and m are intersected by transversal t and e // m.

1
5
6
8
By which postulate or theorem is 23* 26?
A. Alternate Exterior Angles Theorem
O
B. Alternate Interior Angles Theorem
o
C. Corresponding Angles Theorem
D. Same-Side Interior Angles Postulate

Answers

Sorry the question you typed is kinda messy. But I see you have typed “23* 26” I’m gonna assume you’re asking which postulate or theorem is angle 2 and angle 3, and angle 2 and angle 6. So angle 2 and 3 are vertical angles. Angle 2 and 6 are corresponding angles. If that wasn’t what you wanted, please let me know in the comments so I can understand your problem clearly and solve it.

Find the surface area of the shape below. Answer in NUMBERS only, NO units. Round your answer to the nearest tenth.

Answers

Step-by-step explanation:

In the given figure, its a cube with edge 7.7 inches.

Surface area = 6a²

Where ‘a’ denotes the edge

→ 6(7.7)²

→ 6 × 59.29

→ 355.74

Rounding nearest tenth :

→ 355.8

3. Classify the number: -4

Answers

Answer:

Aight.

Rational, Real, Integer, Negative

Answer:

It is a rational, real, negative number, and an integer.

Hope that helps!

Step-by-step explanation:


Figures ABCD and PQRS are parallelogram find x and y (lengths are in metres) Part i and ii.​

Answers

Step-by-step explanation:

For 1st question

In a parm ABCD

5x - 4 = 16 ( being opposite sides of parallelogram)

5x = 16 + 4

5x = 20

x = 20 / 5

x = 4

3y + 1 = 22 (being opposite sides of parallelogram)

3y = 22 -1

3y = 21

y = 21 / 3

y = 7

For second question

In parm PQRS

Diagonals bisect each other so

x + 4 = 12

x = 12 - 4

x = 8

x + y = 32

8 + y = 32

y = 32 - 8

y = 24

Hope it will help :)❤

Find m A. 110°
B. 70°
C. 250°
D. 55°

Answers

Answer:

A:100°

Step-by-step explanation:

BECAUSE IS THE SAME

it’s A 110

Same side interior angles are equal

Pls help!!!! Cmon I need help!

Answers

Answer:

A) 0.39

Step-by-step explanation:

A=[tex]\pi[/tex]r²=0.38925589615

Solve the qustion below please

Answers

Answer:

angle BNU = 60 degrees

Step-by-step explanation:

3x + 8 = 44

3x = 36

x = 12

5x = 60

What year is 7 years after 2003

Answers

Answer: 2010

Step-by-step explanation:

2003+7=2010

5 couples want to have their pictures taken. In how many ways can they arrange themselves in a row if couples must stay together

Answers

Can u explain it more?

PERMUTATION is my answer...mm

Daniel had $30 to spend at the fair admission to the fair is $7 and rides cost $1.50 each write an inequality that represents Daniels situation

Answers

Answer:

1.5r + 7 ≤ 30

Step-by-step explanation:

r = rides rode (that's sounds weird but funny lol)

Admission costs $7. Each ride costs $1.50, so the money he spends has to be less than or equal to $30

A store sells 0,1,2,3,4,5,6,7,8 items daily with the same probability. Find the probability that one day you will sell more than 3 items.

Answers

Answer:

5/9

Step-by-step explanation:

Each number - 0 through 8 - has an equal probability of being the number of sales on a particular day.

There are 9 possibilities of equal likelihood, so each one has a probability of 1/9.

So we want the probability of the number of sales being 4, 5, 6, 7, or 8.

Those are 5 out of the 9 possibilities, so 5(1/9) = 5/9.

6. During the winter months, there is a decrease of between 10 and 30 percent in business at a certain restaurant. Which of the following could not be the percent that winter business is of the normal business?

Answers

D (94)

Hoped I help :]

D 94
!!!!!!!!!!!!!!!!!!

A 2-gallon bottle of bleach costs $14.24. What is the price per pint?

Answers

Answer:

16 divided by 14.24 = 1.12359550562

If you round it would be: $1.12

Answer:

$1.12

Step-by-step explanation:

there are eight pints in a gallon, and since theres two gallons, that mean theres 16 pints. 16 divided by 14.24 is 1.12

Write an expression for "11 more than a."
I

Answers

Answer:

11 + a

OR

a + 11

Hope that helps!

Step-by-step explanation:

Answer:

a + 11

Step-by-step explanation:

Hope this helps!

Is the relation a function?

The relation can be represented by the ordered pairs (2, 1), (3, 4), (5, 19), and (8, 7).

Answers

2...5......4444444.....4444445.
Yes it is a function. The x value does not repeat.

friends?
.............................

Answers

Ok sure—————-_______—-____

I need help with this I’ll give 20 extra points if answers correctly

Answers

Answer:

I think its C ( the 3rd one because thats what photo math said

Step-by-step explanation:

Brainliest plus those 20 points you said you would give?

AAP4C
Applications of Trigonometry
1. A ladder that is 10 feet long is leaning against a wall at a 71° angle.
a. How far from the wall is the foot of the ladder?
b. How high up the wall does the ladder reach?​

Answers

Answer:

cosine 71° = distance from wall / 10

A) distance from wall = cosine (71) *10

distance from wall = 3.2557 feet

B) Height up the wall ^2 = 10^2 - 3.2557^2

Height up the wall ^2 = 100 -10.59958

Height up the wall ^2 = 89.40041751

Height up the wall  = 9.45518 feet

Step-by-step explanation:

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