Given:
The shape of all building blocks is a cube of side 4 cm.
To find:
The volume of six building blocks.
Solution:
Volume of a cube is:
[tex]V=a^3[/tex]
Where, a is the side length of the cube.
Putting [tex]a=4[/tex], we get
[tex]V=(4)^3[/tex]
[tex]V=64[/tex]
It means the volume of each building block is 64 cubic cm.
Now, the volume of six building blocks is
[tex]Volume=6\times V[/tex]
[tex]Volume=6\times 64[/tex]
[tex]Volume=384[/tex]
Therefore, the volume of six building blocks is 384 cubic cm.
2. Find the length of AD if the length of AB is
14 units, the length of BC is 5 units, and the
length of CD is 8 units
Step-by-step explanation:
can you please show the picture too
please help!! area of parallelogram
A number s divided by 2
Answer:
s/2 is the equation
Step-by-step explanation:
Find the areas of the trapezoids
Answer:
12 units²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 4 ( perpendicular distance between the bases ) and
b₁ = SR = 2, b₂ = TA = 4 , then
A = [tex]\frac{1}{2}[/tex] × 4 × (2 + 4) = 2 × 6 = 12 units²
The graph represents the piecewise function:
Justin conducted a survey to find out people's favorite sport and recorded the results below. If Justin were to survey a total of 250 people, how many would you predict would name basketball?
Answer:
100 people
Step-by-step explanation:
In the attached image below we can see that the original survey was done on a total of 50 individuals (12 + 3 + 20 + 15 = 50). Out of these 50, 20 of them answered basketball.
20 / 50 = 0.40 ... multiply by 100 to get percentage
0.40 * 100 = 40%
We can see that this is 40% of the original survey sample population. If we use this same percentage, we can predict how many individuals out of 250 would answer basketball. We calculate this by multiplying 250 by 40% in decimal form, like so...
250 * 0.40 = 100
Finally, we can predict that 100 people would most likely answer basketball.
In circle O, mZR = 23. Find mzo. (The figure is not drawn to scale.)
e
R
O 46
23
67
157
Answer:
A. 46Step-by-step explanation:
m<R=23
m<NQ=2(23)=46
m<O=m NQ =46
hope it helps....
✏---------------
m∠R=23mNQ=2(23)=46m∠O=m NQ=46➜➜➜➜➜➜
hope it helps
have a great day!!
48. A wire is securely attached from the top of
a 26-foot pole to a stake on the ground
14 feet from the base of the pole. Find the
length of the wire to the nearest tenth of a
foot.
A. 21.9 feet
B. 24.3 feet
C. 28.7 feet
D. 29.5 feet
Answer:
D. 29.5 feet
Step-by-step explanation:
1) First you use the pythagorean theorem a^2+b^2=c^2
2) 26^2+14^2=c^2 The wire is the hypotenuse.
3) Simplify the equation. 676+196=c
4) 872=c
5) Find the square root of 872 and round to the nearest tenth.
6) Your answer is 29.5 feet.
Hope this helps!
Select all the expressions that equal 6 to the power of-10.
6−5⋅62
(16)5
(6−5)2
6−367
65⋅6−36−8
Answer:
I will say answer A but I don't know
Step-by-step explanation:
A rectangle has an area of 96 sq. ft. Find the width of the rectangle if the height is 8 feet?
HELP HELP HELP!! ILL MARK BRAINLIEST
Answer: i think its the 3rd one
Step-by-step explanation:
the answer of √ 9+4√5 is?
Answer:
3 + 4√5 or 11.94
Step-by-step explanation:
√ 9+4√5
√9 = 3
3 + 4√5
can you help me i will mark if i can
Answer:
i think it is d
Step-by-step explanation:
In October of 2010 it rained 4 inches. In October of 2011 it rained 2.6 inches. What is the percent decrease in October rainfall?
The length of a rectangle is 3 m less than double the width, and the area of the rectangle is 44 m. Find the dimensions of the rectangle
Answer:
Length of Rectangle is 3 cm less than twice the width
Area is 44 m2 ; let W = width; 2W - 3 = Length
Arect = L times W
44 = W ( 2W - 3 )
44 = 2W2 - 3W
0 = 2W2 - 3W - 44
Factoring
0 = ( 2W - 11 )( W +4)
2W - 11 =0 ; W + 4 = 0
W = 11/2 W = -4 (width can not be a negative number)
Therefor: width is 11/2 and length is 8
students make a rectangular banner that is 2 feet 6 inches wide and 84 inches long what is the perimeter
Answer:
6 + 2 = 8 which is the width.
8 + 8 = 16
84 + 84 = 168
168 + 16 = 184 in
Answer:
228 inches
Step-by-step explanation:
2 feet 6 inches = 30 inches
2(30in+84in) =228 in
The price of an item has been reduced by 5%. The original price was $20. what is the price of the item now?
Answer:
I think its 19
for brainiest:):):):):):):):):):):)
Answer:
34 yd for the perimeter. I mean you just add the sides together... So 8+2+3+7+5+9 = 34.
Help me please I will give Brainiest answer
Answer:
A= 1,0 B=0, -3 C=-6, 5 D= -3, -5
What is (0, 2) reflected over the x-axis
Answer:
(0,-2)
Step-by-step explanation:
plot the point and reflect it over the x axis
Help????? I don’t know which is right
Answer:
C
Step-by-step explanation:
Given
tanθ = [tex]\frac{1}{2}[/tex] = [tex]\frac{opposite}{adjacent}[/tex]
This is a right triangle with legs 1 and 2
Using Pythagoras' identity
hypotenuse² = 1² + 2² = 1 + 4 = 5 ( take square root of both sides )
hypotenuse = [tex]\sqrt{5}[/tex]
θ is in the 3rd quadrant where sinθ < 0 , then
sinθ = [tex]\frac{opposite}{hypotenuse}[/tex] = - [tex]\frac{1}{\sqrt{5} }[/tex] ← rationalise the denominator
= - [tex]\frac{1}{\sqrt{5} }[/tex] × [tex]\frac{\sqrt{5} }{\sqrt{5} }[/tex]
= - [tex]\frac{\sqrt{5} }{5}[/tex] → C
Audria rode her bicycle for 2 hours. She drove a total of 21 miles. At this rate, how many miles will she bike in ½ hour? A 612 6 1 2 B 634 6 3 4 C 534 5 3 4 D 514
Answer:
5 1/4
Step-by-step explanation:
Speed = distance / time
21 / 2 = 10.5
10.5 = distance / 0.5
distance = 10.5 x 0.5 = 5,25 miles or 5 1/4
Use the scatter plot of car resale values to answer the following question.
A graph titled Car Resale Values has age of car on the x-axis, from 0 to 10 in increments of 2, and percentage of sticker price on the y-axis, for 0 to 100. A line of best fit goes through points (2, 80) and (9, 20).
What can you say about the correlation between the age of a car and its resale value?
a.
The trend line slopes downward from upper left to lower right, so there is a negative correlation between a car’s age and its resale value.
b.
The trend line slopes downward from upper left to lower right, so there is a positive correlation between a car’s age and its resale value.
c.
The trend line slopes upward from lower right to upper left, so there is a positive correlation between a car’s age and its resale value.
d.
There is no correlation between a car’s age and its resale value.
Please select the best answer from the choices provided
A
B
C
D
Answer:
A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
taking the practice assignment
Help me fast please
Answer:
I think the answer is
Step-by-step explanation:
50 feet tall
A serving of dried fruit is 1/5 cup. A bag contains
9/10
cup of dried fruit. Which
division expression can you use to find the number of servings in the bag:
1/5 divide 9/10 or 9/10 divide by 1/5 ? Explain your reasoning.
Answer:
9/10 divide by 1/5
4 1/2 cups
Step-by-step explanation:
Serving of dried fruits = 1/5 cups
Bag of dried fruits = 9/10 cups
Expression that can be used to find the number of servings in the bag = Bag of dried fruits / Serving of dried fruits
= 9/10 ÷ 1/5
= 9/10 × 5/1
= (9* 5) / (10 * 1)
= 45/10
= 4 5/10
= 4 1/2 cups
9/10 divide by 1/5
What's the domain and range of the exponential growth function? (please help asappp no spam please or links or anything like that!!! will give brainliest)
Domain: All real numbers; Range: All real numbers
Domain: x > –2; Range: y > –2
Domain: x < –2; Range: All real numbers
Domain: All real numbers; Range: y > –2
Answer:
Domain: All real numbers; Range: y > –2
Step-by-step explanation:
The function can take every x value, but does not reach values less than -2.
Matthew wants to purchase a new couch, but he does not have enough money in his bank account to pay for one.
Which of these is not an option for Matthew?
He can save money and write a check once there is enough money in his account.
He can use his debit card to purchase the couch now.
He can use his credit card to purchase the couch now.
He can save money and pay cash once he has enough.
Answer:
He can use his debit card to purchase the couch now.
Step-by-step explanation:
What’s the slope (rate of change) for the red?
Jordan is making a paddleball court. The court consists of a wall outlined by 40 m of paint. What dimensions will maximize the area of the paddleball court?
Answer:
L = 10m
And, W = 20m
Step-by-step explanation:
The computation is shown below:
Given that
2L + W = 40 m
Also we know that
Area = Length × width
= L × ( 40 - 2L)
= 40L - 2L^2
= -2(L^2 - 20L)
= -2(L^2 - 20L + 100 - 100)
= -2(L^2- 20L + 100) + 200
= -2(L - 10)^ + 200
So
L = 10m
And, W = 20m
Movie tickets are $4 for regular admission and $3 for seniors. On a night where there were 190 people and total sales of $720 how many regular admission tickets were sold?
A. 50
B. 150
C. 40
D. 140
Answer:
150
Step-by-step explanation:
So if we rearrange the second equation we can get:
s = 190 - a
Now we substitute this into the first equation:
4a + 3(190 - a) = 720
4a + (570 - 3a) = 720
4a + 570 - 3a = 720
4a - 3a = 720 - 570
a = 150