Answer:
2). Volume = 14400 feet³
3). Volume = 157.5 ft³
Step-by-step explanation:
Both the figures given in the sheet attached are a rectangular pyramid and a triangular prism.
2). In this part of the question solid given is in the shape of an rectangular pyramid.
Volume of this oblique pyramid = [tex]\frac{1}{3}(\text{Base})(\text{Height})[/tex]
Here 'B' = area of the base
h = height of the pyramid
Volume = [tex]\frac{1}{3}(25\times 36)\times 48[/tex]
= 14400 cubic feet
4). Volume of a triangular cone = (Area of the triangular base)×(height)
= [tex][\frac{1}{2}(\text{Base})(\text{height})]\times {\text{height of the prism}}[/tex]
= [tex]\frac{1}{2}(7\times 9)\times {5}[/tex]
= 157.5 ft³
Choose the slope-intercept form of 3x + 2y = 5.
y =3/2x-5/2
y = -3/2x+5/2
y = -3/2x+5/3
y = 2/3-5/3
Answer:
y = -3/2 x + 5/2
Step-by-step explanation:
3x + 2y = 5
2y = 5 - 3x
y = -3/2 x + 5/2
Answer:
y= -3/2x+5/2
Step-by-step explanation:
3x + 2y = 5
2y= 5- 3x
y= 5/2 - 3/2x
y= -3/2x+5/2
Consider the system of equations. y = –5x – 1 y = 2x + 6 Choose the correct answer to each question. What is the slope of the first line? What is the slope of the second line? How many times do the lines intersect? How many solutions does the system have?
What is the slope of the first line?
✔ –5
What is the slope of the second line?
✔ 2
How many times do the lines intersect?
✔ 1
How many solutions does the system have?
✔ 1
Answer:
Step-by-step explanation:
-5x - 1 = 2x + 6
-7x - 1 = 6
-7x = 7
x = -1
y = -5(-1) - 1 = 5 - 1 = 4
(-1. 4)
first slope: -5
second slope: 2
once
one
The figure below is a right rectangular prism with
rectangle ABCD as its base.
х
What is the area of the base of the rectangular prism?
M square centimeters
What is the height of the rectangular prism?
centimeters
What is the volume of the rectangular prism?
cubic centimeters
w
N
6 cm
B
Y
A
C
9 cm
2 cm
D
Answer:
1) 9 × 2 = 18 cm²
2) 6 cm
3) 9 × 2 × 6 = 108 cm³
Answer:
Base area: [tex]18cm^2[/tex]
Height: 6 cm
Volume: [tex]108cm^3[/tex]
Step-by-step explanation:
Base area:
So the base is the side the right rectangular prism is laying on and in this case it is ABCD and the length and width is 9 and 2 so multiplying that we get [tex]18cm^2[/tex].
Height:
In this scenario of a right rectangular prism any side It is lying on so we will use 6 cm as the height.
Volume:
To find the volume of a rectangular prism you have to use the following formula.
[tex]V=l*w*h[/tex]
The l is length which is 9 cm.
The w is width which is 2 cm.
And the h is height which is 6 cm.
So multiplying all that we get [tex]108cm^3[/tex].
What is the area of this parallelogram? ____cm2
Answer:
30.6
Step-by-step explanation:
The area of a parallelogram is base * height.
Base = 6.8
Height = 4.5
6.8 * 4.5 = 30.6
Just answering so Adriantan2019 can get brainliest because that was a good answer and I don't remember how to do the area! SORRY! :) Have a great day! :)
Find the distance between the pair of points: (0,-8) and (0,4)
Answer:
12 units
Step-by-step explanation:
distance formula
If f(x) = x2 − 81 and g(x) = x+9/x-9, find g(x) · f(x).
Answer:
f(x) = x² - 81 = ( x+ 9)(x - 9) Difference of two squares
g(x) = x+9/x-9
g(x) . f(x) = x + 9/ x - 9 × (x+9)(x - 9)
= ( x + 9)(x +9)
= ( x + 9)²
= x² + 18x + 81
Hope this helps.
Which ordered pair is the solution to the system of linear equations y = negative 7 x + 2 and y = 9 x minus 14?
Answer:
(1, -5) is the solution of the system
Step-by-step explanation:
y = negative 7 x + 2 should be written as y = -7x + 2, and
y = 9 x minus 14 as y = 9x - 14
Use elimination by substitution to solve this system. Equate the two equations together to eliminate y: y = 9x - 14 = -7x + 2.
Combining like terms, we get 9x - 14 = -7x + 2 => 16x = 16
Dividing both sides by 16 yields x = 1.
Substituting 1 for x in the first equation yields the corresponding y-value:
y = -7(1) + 2 = -5
Thus, the ordered pair (1, -5) is the solution of the system.
Answer:
It's B
Step-by-step explanation:
Using the following image, if = 20, what are , , and .
If you are using a screen-reader, please consult your instructor for assistance.
= Answer
= Answer
= Answer
Answer:
Step-by-step explanation:
if DF=20, then:
4x+8+2x-2=20
6x+6=20
6x=14
x=14/6
x=7/3
then
DE=4x+8
DE=4(7/3)+8
DE=(28/3)+24/3
DE=52/3
And
EF=2x-2
EF=2(7/3)-2
EF=14/3-6/3
EF=8/3
Write 0.03 as percents.
Answer:
3%
Step-by-step explanation:
Just move the decimal 2 spaces to the right .03 becomes 3% :)
What is the definition of the cosine ratio of an acute angle of a triangle?
opposide side / hypotenuse
adjacent side / opposite side
opposite side / adjacent side
adjacent side / hypotenuse
Answer:
I think the answer is the last one
adjacent side / hypotenuse
Your boss asks you to interpret the following from a custom paint report he has just received. µ ≥400 ml
The true mean volume of paint in each can is
Blank
or
Blank
400 ml.
Answer:
The true mean volume of p
aint in each can is greater than or equals to 400ml
Step-by-step explanation:
The symbol of μ represents the mean of a data.
Mean can be defined as the average value of a set of data
Let consider the question.
We know that
μ ≥ 400ml
Where the sign ≥ means "greater than or equals to"
Which means that μ is greater than or equals to 400ml
So the solution is:
1st blank = greater than
2nd blank = equals to
Help !!!!!!!!!!!!!!!!!
Answer:
The elevation is a nonlinear function.
Step-by-step explanation:
Answer:
It's (B) The elevation is a nonlinear function.
Step-by-step explanation:
What is the measure of angle SQR please help
The options are
A.) 132°
B.) 55°
C.) 134°
D.) 93°
Answer:
D i think
Step-by-step explanation:
Solve for X 4x−1 =3 Answer:
Add 1 to both sides of the equation to get 4x = 4.
Divide both sides by 4 and x = 1.
Answer:
x= 1
Step-by-step explanation:
4x-1=3
+1 +1
4x=4 (divide both sides by 4 to get x alone)
x=1
URGENT The number of counties in state A and the number of counties in state B are consecutive even integers whose sum is 158. If state A has more counties than state B, how many counties does each state have?
Plzz answer the question ASAP. Plzz ignore #12 I just need 11
Answer:
a) g(f(x)) = (sqrt(x - 5))^2 + 1 = x - 5 + 1 = x - 4
b) For f(x), domain is x - 5 >= 0, or x >= 5, so for g(f(x)), the domain is
x >= 5
can you add a fraction and a whole number.give and example
Step-by-step explanation:
if you have a whole number and fraction you can simply at them together, which results in what's called mixed number .
example : the mixed number 8 3/4 is understood to mean the same thing as
8 + 3/4.
Using the image, find the distance between the points given on the graph.
========================================================
Explanation:
The two endpoints of the segment are (0,-2) and (4,-1)
So this means
(x1,y1) = (0,-2)
(x2,y2) = (4,-1)
Use the distance formula
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-4)^2 + (-2-(-1))^2}\\\\d = \sqrt{(0-4)^2 + (-2+1)^2}\\\\d = \sqrt{(-4)^2 + (-1)^2}\\\\d = \sqrt{16 + 1}\\\\d = \sqrt{17} \ \text{ is the exact distance}\\\\ d \approx 4.1231056 \ \text{ is the approximate distance}\\\\[/tex]
Find x
Please help I really need answers
If a soccer team made 25 penalty shots out of 100 what fraction and what percentage of penalty shots did the team miss!? Choose two answers
Answer:
It will be letter D and A
Step-by-step explanation:
Letter D, because you are saying that is 25 over 100 and letter A because the equation to find a percentage is:
[tex]\frac{X}{Y}= \frac{PERCENTAGE MISSING}{100}[/tex]
X and Y: will be the information that they give so, the equation and answer will be
[tex]\frac{25}{100} =\frac{x}{100}\\\\ \frac{25* 100 }{100} \\\\\frac{2500}{100} \\\\25%[/tex]
Answer:
D & A
Step-by-step explanation:
PLEASE HELP MEEEEE!!
Answer:
3) 10^12
4) 0.99^4
8) x^12
9) 3/4^6
Step-by-step explanation:
10^(6+5+1)
0.99^(3+1)
x^(6+2+4)
3/4^(2+2+2)
3) 10^12=1000000000000
4)0.99^4=0.96059601
8)x^12
9)(3/4)^6=0.1779...
The length of rectangle B is 25% greater than the length of rectangle A. The width of rectangle B is 3/5 X the width of rectangle A. Find the fraction Area of B/Area of A Give your answer in its simplest form.
Answer:
The value of Area of B/Area of A is 0.75.
Step-by-step explanation:
It is provided that:
The length of rectangle B is 25% greater than the length of rectangle A. The width of rectangle B is 3/5 X the width of rectangle A.Consider the diagram below.
The area of a rectangle is:
[tex]\text{Area}=\text{Length}\times \text{Breadth}[/tex]
Compute the area of rectangle A as follows:
[tex]\text{Area of A}=l\times b[/tex]
Compute the area of rectangle B as follows:
[tex]\text{Area of B}=1.25\ l\times \frac{3}{5}\ b=0.75\ (l\times b)[/tex]
Compute the value of Area of B/Area of A as follows:
[tex]\frac{\text{Area of B}}{\text{Area of A}}=\frac{0.75\ (l\times b)}{l\times b}=0.75[/tex]
Thus, the value of Area of B/Area of A is 0.75.
Solve |3 - x| = 8 !!
Answer:
-5 and 11
Step-by-step explanation:
| 3-x | = 8
absolute sign has two value. POSITIVE and NEGATIVE value
POSITIVE
3-x = 8
x = 3-8 = -5
NEGATIVE
-(3-x) = 8
-3 + x = 8
x = 8+3 = 11
Answer:
x =-5 x = 11
Step-by-step explanation:
|3-x| = 8
We get 2 solutions to an absolute value, one positive and one negative
3-x =8 3-x = -8
Subtract 3 from each side
3-x-3 = 8-3 3-x-3=-8-3
-x =5 -x = -11
Multiply by -1
x =-5 x = 11
At the beginning of the week, a puppy weighed 5/14 pounds. During the week, the puppy gains 8 ounces.
How much does the puppy weigh, in pounds, at the end of the week?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
51/12
as a mixed number
4 1/4
Step-by-step explanation:
first you add 8 to 4 which is 12
so the improper fraction would be 51/12
how to turn it in to a mixed number in simplest form
step 1 - Find Whole Number
Calculate out how many times the denominator goes into the numerator. To do that, divide 51 by 12 and keep only what is to the left of the decimal point:
51 / 12 = 4.2500 = 4
Step 2 - Find New Numerator
Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.
51 - (12 x 4) = 3
Step 3 - Put Together
Keep the original denominator and use the answers from Step 1 and Step 2 to get this:
4
3
12
Step 4 - Minimize
Minimize the fraction part from Step 3 by dividing the numerator and denominator by 3, which is the greatest common factor, to get the final answer. 51/12 as a Mixed Number is:
4
1
4
Classify COB in the image above as either acute, obtuse, right, or straight angle.
Answer:
Number 2 obtuse
Step-by-step explanation:
Answer:
∠COB is obtuse angle
Explanation:
I attached an image showing how to tell the difference between an acute, obtuse, right, and straight angle.
We can clearly see, just by looking at the image. ∠COB is an obtuse angle
hi:) is angle BAC a right angled triangle?
Answer:
no, its not
Step-by-step explanation:
it does not have an angle of 90°
It is a scalene triangle
A backyard pool has a concrete walkway around it that is 5 feet wide on all sides. The total are of the pool and the walkway is 950 feet. If the length of the pool is 6 feet longer than the width, find the dimensions of the pool.
Answer:
Step-by-step explanation:
Pool:
Width = x ft
Length = (x+6) ft
Pool along with walkway:
Width = x + 5 + 5 = (x + 10) ft
Length = x + 6 + 5 + 5 = (x + 16) ft
Total area of the pool with walkway = 950 sq.ft
length * width = 950
(x+16) * (x + 10) = 950
Use FOIL method,
x*x + x *10 + 16*x + 16 *10 = 950
x² + 10x + 16x + 160 -950 = 0 {Add like terms}
x² + 26x - 790 = 0
Answer:
29.4 length and 21.4 width.
Step-by-step explanation:
To fin the dimensions of the pool we need to use the total area of the pool plus the concrete walkway. Lets say that W is the width and L the length. We know that, the walkway has 3 ft wide, this means that the width and length are increased by 6ft (3ft on each side). So, the total
Given the graph below, which of the following statements is true?
Since there is nothing attached for me to help you I looked for a website that can find the answer with an explanation. It is called quickmath it’s like a math calculator . Hopefully that helps you .
Determine the value of a. answers: A) 10 B) 6 C) 7 D) 70
Answer:
C
Step-by-step explanation:
Since triangles TUS and QRS are similar, if TUS is isosceles then so is QRS. This means that all corresponding proportions are at a constant ratio. So if TS=US, QT=RU and therefore a=7. Hope this helps!
Answer:
a =7
Step-by-step explanation:
The triangles are similar so we can use ratios
10 10
------ = --------
10+a 10+7
Since the numerators are the same, the denominators have to be the same
10+a = 10+7
a = 7
A number is multiplied by 5. If 5 is added to the product, you get 10. What is the number?
Answer:
The unknown number is 1.
Step-by-step explanation:
You have to form an expression. So let's make the unknown number as x. Firstly, a number is multiplied by 5 :
[tex]x \times 5[/tex]
[tex] = 5x[/tex]
Secondly, 5 is added to product and you will get 10 :
[tex]5x + 5 = 10[/tex]
Lastly, you have to solve :
[tex]5x + 5 = 10[/tex]
[tex]5x = 10 - 5[/tex]
[tex]5x = 5[/tex]
[tex]x = 5 \div 5[/tex]
[tex]x = 1[/tex]
Answer:
2
Step-by-step explanation:
if you divide
10 by 5
you get two