Find the volume of the pyramid, given its slant height. Round them to the nearest tenth please.
Can you help me? I tried but I did not understand and thank you
9514 1404 393
Answer:
4. 1.3 cm³
5. 621.2 mm³
6. 116.5 m³
Step-by-step explanation:
The height to the peak of the pyramid is one side of the right triangle that has its hypotenuse equal to the slant height, and one leg equal to half the base side length. The Pythagorean theorem is used to find the height from the slant height (s) and the base length (b):
h = √(s² -(b/2)²)
The volume is found from the formula ...
V = (1/3)b²h
where b is the base length and h is the height found using the previous formula.
The tedious arithmetic is nicely done using a spreadsheet. Results are attached.
Which of the following length can represent a right triangle?
5,12,15
4,5,6
8,10,12
20,21,29
Answer:
20, 21, 29
Step-by-step explanation:
h²= p²+b²
29² = 20²+ 21²
Determine the solution set for (x-3)2-18=-4
The figure is a parallelogram. Solve for x.
2X-5=17
2x=17+5
2x=22
x=11
Hope this is right!
Answer:
x=11
Step-by-step explanation:
2x-5=17
+5
2x=22
/2
x=11
solve graphically please send me by solving and clicking photo plzzzz
Answer:
Subtract 5x from both sides of the equation.
7y=1−5x
x+4y=−5
Divide each term by 7 and simplify.
y=17−5x/7
x+4y=−5
Subtract x from both sides of the equation.
y=1/7−5x/7
4y=−5−x
y=1/7−5x/7
Divide each term by 4 and simplify.
y=1/7−5x/7
y=−5/4−x/4
y=1/7−5x/7
Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution. (3,−2)
Step-by-step explanation:
What is the equation of a line parallel to the line y = 4x - 5 with a y intercept of
3?*
What’s the value of x
What is the exact volume of the cylinder?
Enter your answer, in terms of it, in the box.
Answer:
volume of cylinder : πr²×h = π × 5² × 15 = 375π ≈ 1177.5 cm³
Un contenedor de 120 lt de capacidad contiene 90 lt de un líquido ¿que porcebtaje de la capacidad del tanque está desocupado
Answer:
25%
Step-by-step explanation:
Paso 1
Calcula la cantidad del contenedor que no estaba ocupado.
Esto se calcula como
Tamaño del recipiente: cantidad de líquido en el recipiente
= 120 lt - 90lt
= 30 litros
Paso 2
El porcentaje de la capacidad del tanque que está desocupado se calcula como:
= Capacidad del tanque que estaba desocupado / Capacidad del tanque × 100
= 30lt / 120lt × 100
= 25%
Six more than the quotient of a number be in 30 is greater than three
Answer: 14
Step-by-step explanation: To get this answer you would first of all 6 more means we're adding.
Quotient means division. What we're dividing is an unknown quantity -- x -- and 3.
The final total says 14. That gives us the following:
6 + x/3 = 14
PLEASE HELP! 20 POINTS
The speed of the current in a river is 6mph. A ferry operator who works that part of the river is looking to buy a new boat. Every day his route takes him 22.5 miles each way against the current and back to his dock and he needs to make this trip in a total of 9 hours. He had a boat in mind but he can only test it on a lake where there is no current. How fast must the boat go on the lake in order to serve his needs? PLEASE SHOW ALL WORK
Answer:
1,215 i think please be right
the price of a sweater was reduced from $20 to $12 by what percentage has the price of the sweater been reduced
Answer:
The price of the sweater was reduced by 40%.
If x=5 and y=−2, evaluate the following expression:20−5y+2x
Step-by-step explanation:
20−5y+2x
20-5(-2)+2(5)
20+10+10=40
Answer:
20 − ( 5 ) ( −2 ) + ( 2 ) ( 5 )
= 20 − ( −10 ) + ( 2 ) ( 5 )
= 30 + ( 2 ) ( 5 )
= 30 + 10
= 40
Hope it helps
Please mark me as the brainliest
Thank you
What two things make a graph proportional?
5. What is the value of x?
(1 point)
60°
X
300
15
153
15
2
53
155
Answer:
x = 15[tex]\sqrt{3}[/tex]
Step-by-step explanation:
tan60 = x / 15 = [tex]\sqrt{3}[/tex] so x = 15[tex]\sqrt{3}[/tex]
There are 2 pigs, 1 cat, 3 goats, and 4 cows at the state fair. As people enter the barn area they are randomly given one animal to pet. What is the probability that a person will pet a goat? Write your answer as a fraction, decimal, and percent.
PLS ANSWER QUICK and pls dont answer with a website answer with the answer
Fraction:
Decimal:
Percent:
Answer:
3/10
Step-by-step explanation:
Probability will be the number of goats, since goats is what you're looking for, over the number of total animals. So that gives 3/10.
To get that as a decimal, divide 3 by 10. Then take your decimal and multiply it by 100 to give the percent.
The base (b) of the triangle is
y feet.
The height (h) of the triangle is
feet
The area of the triangle is
square feet
Answer:
10 15 75
Step-by-step explanation:
Solve for x: |x| − 8 = −5
Answer:
x=3
Step-by-step explanation:
Answer:
3 or -3
Step-by-step explanation:
|x| - 8 = -5
|x| = 3
The absolute value of x = 3, -3
Help pls this is mad hard
Answer:
17
Step-by-step explanation:
a²+b²=c²
(15x15)+(8x8) = c²
225+64 = c²
√c = 17
Let's say that a cell phone provider offers a new phone for $600 with a
$70 monthly plan. Find the equation that represents the average cost of
the phone, C(x), to use for x amount of months.
Can someone please answer this?
Answer:
Total=600+70(x)
The average cost of the phone is C(x) = (600 + 70x)/x.
How to calculate the average?In order to calculate average, divide the total sum of the data to the total number of data. An average is a standard number for a given data whose value can both be more or less than it.
Given that,
The fixed price of the cellphone is $600.
And, the monthly plan is $70.
Now, the cost of the phone increases with the number of months and the average cost is the total cost divided by the number of months.
As per the question the average cost can be written as,
C(x) = (600 + 70x)/x
Where x is the number of months.
Hence, the average cost of the given phone can be written in terms of the function of month as C(x) = (600 + 70x)/x.
To know more about average click on,
https://brainly.com/question/12322912
#SPJ2
How do you simplify (4 – 5) – (13 – 18 + 2) ?
Answer:
2
Step-by-step explanation:
4-5= -1
13-18+2= (-5+2)= -3
-1-(-3)=2
Don't forget your order of operations
P (parenthesis)
E (exponents)
MD (multiplication/division)
AS (addition/subtraction)
Answer:
2
Step-by-step explanation:
use pemdas (parenthesis, exponents, multiplication, division, addition, and subtraction) to solve:
first: 4-5 = -1
second: 13-18+2 = -3
third: (-1) - (-3) = 2
solve the equation 2[x]>14
Answer:
2x>14
2x÷2>14÷2
X>14÷2
X>7 or X€(7,∞)
Step-by-step explanation:
step 1- divide both sides of the by 2
step 2- any expression divided by itself is 1
Friction is not related to the efficiency of a machine.
True or False
Answer: False, Step-by-step explanation: Genuine mechanical benefit and ideal mechanical benefit are not equivalent. Valid. Work yield can never be more prominent than work input.
the mod
784 sq. in
28 in
Approximately how much cardboard did he use in all to make the model?
828 square inches
1,092 square inches
О
1,400 square inches
o
2,016 square inches
о
Answer:
Step-by-step explanation:
base = 784 sq in² 28 in tall pyramid
each side of the square base = √784 also equals 28
using the Pythagorean theorem the length of each side of the pyramid from the base to the point is
(side/2)² + height² =( length of the pyramid face)²
(28/2)² + 28² = 196 + 784 = 980 = (face length)²
face length = √980 = 31.3
area of the pyramid = 4 sides × area of each face + the area of the base
= 4×[(1/2)(base)(face length)] + side²
= 4(1/2)(28)(31.3) + 784
= 2537 sq in² Not in the solution set
c) Work out
√6 x √6 x √6
Answer:
√6 × √6 × √6 = 6√6
Step-by-step explanation:
[tex] \rm \sqrt{6} \times \sqrt{6} \times \sqrt{6} [/tex]
[tex] \rm = \sqrt{36} \times \sqrt{6} [/tex]
[tex] \blue{\boxed{\rm = 6 \sqrt{6} }}[/tex]
Which expression is equal to
сол
(A
5x8
8 x 5
C8= 5
5=8
5 1/3 divided by 2/3
Draw a diagram
[tex]5\frac{1}{3} =\frac{16}{3}[/tex]
[tex]\frac{16}{3} -\frac{2}{3} \\=\frac{14}{3}[/tex]
Hope this helped!!!!!!!
HELP ME PLEASE I NEED IT NOW
3. The material Santiago will use to build the ramp costs $2.20 per square foot. What will the total cost of building the ramp be?
Answer:
262 square feet
Step-by-step explanation:
The required expression model for the cost of the ramp is y = 2.20x.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Let the area of the ramp be x and the cost to build the ramp be y,
According to the question,
The material Santiago will use to build the ramp costs $2.20 per square foot.
Total cost = 2.20 × area of the ramp
Substitute the variable in the above expression,
y = 2.20x
The above equation represents the equation model for the cost of ramp y for the x square foot area of the ramp.
Thus, the required expression model for the cost of the ramp is y = 2.20x.
Learn more about models here:
https://brainly.com/question/22591166
#SPJ5
Why was the United States interested in rebuilding the Japanese economy after World War II?
A
The United States feared the influence of communist countries in Japan.
B
The United States and Japan had a shared history of colonial oppression.
C
The United States wanted to make the Japanese pay war reparations.
D
The United States planned to occupy Japan for many years to come.