Answer:
62.5%
Step-by-step explanation:
100% - 37.5% = 62.5%
The sun causes a flagpole to cast a shadow that measures 85 ft. from the base of the pole. At the same time of the day, a 6.5 ft. tall basketball player casts a shadow that measures 9.75 ft.
The basketball player’s little sister is 3.5 ft. tall. At the same time of the day, determine her shadow’s length to the nearest tenth of a foot.
Answer:
Length of the shadow of player's sister is 5.25 feet.
Step-by-step explanation:
From the figure attached,
AB represents the basketball player and DE is his little sister.
Height of basketball player = 6.5 ft
Length of shadow of the player = 9.75 ft
Height of player's sister = 3.5 ft
Since, ΔABC and ΔEDC are the similar triangles, their corresponding sides will be proportional.
[tex]\frac{AB}{DE}= \frac{ED}{DC}[/tex]
[tex]\frac{6.5}{3.5}= \frac{9.75}{x}[/tex]
x = [tex]\frac{9.75\times 3.5}{6.5}[/tex]
x = 5.25 ft
Therefore, length of the shadow of player's sister is 5.25 feet.
find the volume of the cylinder!
Use 3.14 for pi-
round your answer to the tenths place !!
Will mark b if correct:)
Just a bit help here, heh... -8a^0?
Answer:
-8 is the answer
Step-by-step explanation:
BCos any number or letter raised to the power zero is 1
-8*a⁰
-8*1
-8
A group of preschoolers has 8 boys and 24 girls, what is the ratio of boys to girls?
Answer:
1/3
Step-by-step explanation:
8
24
=
1
×
8
3
×
8
Pyramid A has a triangular base where each side measures 4 units and a volume of 36 cubic units. Pyramid B has the same height, but each side of its base is 6 units long.
Answer:
The volume of pyramid B is 81 cubic units
Step-by-step explanation:
Given
Pyramid A
[tex]s = 4[/tex] -- base sides
[tex]V = 36[/tex] -- Volume
Pyramid B
[tex]s = 6[/tex] --- base sides
Required
Determine the volume of pyramid B [Missing from the question]
From the question, we understand that both pyramids are equilateral triangular pyramids.
The volume is calculated as:
[tex]V = \frac{1}{3} * B * h[/tex]
Where B represents the area of the base equilateral triangle, and it is calculated as:
[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]
Where s represents the side lengths
First, we calculate the height of pyramid A
For Pyramid A, the base area is:
[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]
[tex]B = \frac{1}{2} * 4^2 * \frac{\sqrt 3}{2}[/tex]
[tex]B = \frac{1}{2} * 16 * \frac{\sqrt 3}{2}[/tex]
[tex]B = 4\sqrt 3[/tex]
The height is calculated from:
[tex]V = \frac{1}{3} * B * h[/tex]
This gives:
[tex]36 = \frac{1}{3} * 4\sqrt 3 * h[/tex]
Make h the subject
[tex]h = \frac{3 * 36}{4\sqrt 3}[/tex]
[tex]h = \frac{3 * 9}{\sqrt 3}[/tex]
[tex]h = \frac{27}{\sqrt 3}[/tex]
To calculate the volume of pyramid B, we make use of:
[tex]V = \frac{1}{3} * B * h[/tex]
Since the heights of both pyramids are the same, we can make use of:
[tex]h = \frac{27}{\sqrt 3}[/tex]
The base area B, is then calculated as:
[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]
Where
[tex]s = 6[/tex]
So:
[tex]B = \frac{1}{2} * 6^2 * sin(60)[/tex]
[tex]B = \frac{1}{2} * 36 * \frac{\sqrt 3}{2}[/tex]
[tex]B = 9\sqrt 3[/tex]
So:
[tex]V = \frac{1}{3} * B * h[/tex]
Where
[tex]B = 9\sqrt 3[/tex] and [tex]h = \frac{27}{\sqrt 3}[/tex]
[tex]V = \frac{1}{3} * 9\sqrt 3 * \frac{27}{\sqrt 3}[/tex]
[tex]V = \frac{1}{3} * 9 * 27[/tex]
[tex]V = 81[/tex]
Answer:
81
Step-by-step explanation:
Choose the <,>,= symbols to answer the question
Answer:
1. >
2,<
3.<
4.>
5,>
6.<
7.>
8.>
Step-by-step explanation:
A honeybee hive may contain up to 4.0x10^4 honeybees. What is the number of honeybees in a beehive in standard form
Answer:
40000
Step-by-step explanation:
Given that,
A honeybee hive may contain up to [tex]4\times 10^4[/tex] honeybees.
We need to find the number of honeybees in a beehive in standard form.
We know that,
10⁴ = 10000
So,
4 × 10⁴ = 4 × 10000
= 40000
So, there are 40000 honeybees in a beehive.
What's the constants of 5x + 4 + 7x
the constant / the answer is 4
Answer:
4
Step-by-step explanation:
the constant is a number that never changes
What is the solution to this inequality?
4(2x + 2) + 12 > 100
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
 please help me ahhh im doing 8th grade math with pythagorean theorem
Step-by-step explanation:
The pythagorean theorem is the sum of the two legs squares equal the hypotenuse squared.
The hypotenuse is the longest side so 3.5 is our hypotenuse.
Apply formula to see of true.
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {2.5}^{2} + {3}^{2} = {3.5}^{2} [/tex]
[tex]6.25 + 9 = (3.5 {}^{2}) {?} [/tex]
[tex]15.25 = 12.25 {?}[/tex]
So it isn't a triangle since they aren't equal
Guys pls help me!!!!!!
Answer:
B
Step-by-step explanation:
If x is any larger than 4 it would be greater than 5, since 2*4-3=5
If x was any smaller than -1 it would be greater than 5, since 2*-1-3=|-5|=5
C hope this help you
A 7-meter by 7-meter square is reduced so that each side is half as long as the original.
a. Describe the new square. (Side length)
b. Write the ratio of the perimeters in the order New:Original.
c. Write the ratio of the areas in the order New:Original.
Answer:
Step-by-step explanation:
7m ÷ 2 = 3.5mPart A: New square is 3.5-meter by 3.5-meterThe original square's perimeter is 7x4=28-meter.The new square's perimeter is 3.5x4=12-meterPart B: The ratio is 12:28 or 3:7The original square's area is 7²=49 meter²The new square's area is 3.5²=12.25 meter²Part C: The ratio is 49:12.25What's the circumference of a circle with a radius of 10 inches
Answer:
5
Step-by-step explanation:
5
how many units of meters make a kilometer?
A publisher sells
[tex] {10}^{6} [/tex]
copies of a new science fiction book and
[tex] {10}^{3} [/tex]
copies of a new mystery book. How many times as many science fiction books were sold than mystery books?
_ books
Tell whether xy = 8 shows direct variation, inverse variation, or neither.
Answer:
inverse
Step-by-step explanation:
y = k/x indicates inverse variation, which is the same as xy = k
in this particular problem, k = 8
Como leer el decimal 0.000000215
Answer:
cero con doscientas quince mil millonésimas
Step-by-step explanation:
..
A cone has a height of 4 inches and a
circumference at the base of 121 inches.
What is the approximate volume of the cone?
Answer:
Approximately 1553.83
THIS IS TO ALL THE PEOPLE ANSWERING WITH UN KNOWN LINKS
Answer:
right i hate that so much
Step-by-step explanation:
Answer:
I feel the same though. So no need to feel bad. I hope you don't get scammed by anymore of them. BTW I have some more information on them on some of my questions if you wanna look. :) If they are still there though. Lol...
best describes her chances of rolling 12 in one try?
A certain
D Impossible
B likely
e unlikely
*29. a. Multiple Choice which of these Venn diagrama illustrates the
relationship between squares () and rhombuses (R)?
A
D
R
Explain Explain your answer for part a.
90. The
A city has a population of 2,549,786 people. Written as the product of a single digit and a power of ten, this number is 3 x 10 to what power? *
Answer:
3 x 10^6
Step-by-step explanation:
Answer:
3 x 10^6
Step-by-step explanation:
Find the quotient of these complex numbers. (3 + 3i) / (5 + 4i) =
Plz help
Answer:27/41+3/41i
Step-by-step explanation:
Just finished this problem
Answer:
guy above correct via A P E X
Step-by-step explanation:
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
B
Step-by-step explanation:
the mean changes a lot, the median doesn't change
Answer:
B
Step-by-step explanation:
the mean is 599.5 and the median is 410
Mr. Weaver has 36 history students. The ratio of girls to boys is 2:1. How many girls does he have in his class?
Answer:
24 girls
Step-by-step explanation:
24:12
2:1
Petra is making donuts by stamping circles in dough using a pastry stamp with a diameter of 3 inches. For the donut hole, she stamps out a circle using a pastry stamp that has a diameter of 1 inch.
How many square inches of dough are left to make the donut after the hole has been removed?
Answer:
2 inches would be left
Step-by-step explanation:
please help! i'll give brainliest! no one would help me PLEASE.
Answer:
m∠ABC = 42°
Step-by-step explanation:
5x + 13 + 3x + 33 = 70
8x + 46 = 70
8x = 24
x = 3
m∠ABC = 3(3) + 33 = 42
pleas help ive been in this exam for 4 hours
An expression is shown below:
10n3 − 15n2 + 20xn2 − 30xn
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Answer:
the
Step-by-step explanation:
the comen factor are 10-15+20-30
and Factor the entire expression completely.
are n and 2
Find the distance between the pair of points (6. - 22) and (1. - 23) The distance is
What is the solution for x in the equation? 10x-4.5+3x=12x-1.1
Answer:
[tex] putting \: the \: like \: terms \: together\\ 10x + 3x - 12x = 4.5 - 1.1 \\ x \: = 3.4[/tex]
A prism has a volume of 405 cubic inches.
4.5 in.
15 in.
Which is the correct substitution for finding the height of the prism?
Answer:
405 = 15 times 4.5 times h
Step-by-step explanation:
Complete question
A prism has a volume of 405 cubic inches.
A prism has a length of 15 inches, height of h, and width of 4.5 inches
Which is the correct substitution for finding the height of the prism?
A V = l w h. 405 = 15 + 4.5 + h.
B V = l w h = 15 times 4.5 times 405
C V = l w h = 15 times 4.5 times 15
D V = l w h. 405 = 15 times 4.5 times h
Find the diagram attached
Volume of the prism is expressed as;
V = lwh
l is the length
w is the width
h is the height
Given the following
l = 15inches
w = 4.5inches
Required
Expression to calculate the height g
Substitute the given values into the formula
V = lwh
405 = 15 * 4.5 * h
Hence the required option is 405 = 15 times 4.5 times h
Answer:
405 = 15 times 4.5 times h
Step-by-step explanation:
Give it to the other person.
