Answer:
290 m³
Step-by-step explanation:
Volume of the composite figure can be calculated by using the formula for volume of a rectangular prism to calculate, separately, the volume of the top prism, then volume of the prism beneath, before summing both volumes together.
Volume of rectangular prism = width (w) × height (h) × length (l)
==>The prism on top has:
l = 3m
w = 8-3 = 5m
h = 6m
Volume (V1) = 3*5*6 = 90m³
==>The prism beneath has:
l = 8m
w = 5m
h = 5m
Volume (V2) = 8*5*5 = 200m³
Volume of the composite figure = V1 + V2 = 90+200 = 290 m³
find the area of the blue sector. leave your answer in terms of pie please I need help NOW
Answer:
60
Step-by-step explanation:
Answer:
[tex]10\frac{2}{3}\pi[/tex]
Step-by-step explanation:
First find the area of the whole thing. It is 8^2π = 64π. Then the blue part is 60/360 = 1/6 of the area. This is 64/6π=32/3π=10.66π
Hi, I’m really confused if anyone could help me out that would mean a lot?:)
Hey there! :)
Answer:
a) 32 sticks.
b) 5n + 2 sticks.
Step-by-step explanation:
Solve this by finding the pattern.
Pattern # 1 = 7 sticks.
Pattern #2 = 12 sticks
Pattern #3 = 17 sticks.
We can see an increase of 5 sticks within each. We can use this to write an equation:
f(n) = 7 + 5(n-1)
***Where n is the term number
You can simplify the equation to become:
f(n) = 7 + 5n - 5
f(n) = 5n + 2.
Use this equation to solve for pattern # 6:
f(6) = 7 + 5(n-1)
f(6) = 7 + 5(5)
f(6) = 7 + 25
f(6) = 32.
Which diagram shows possible angle measures of a triangle? A triangle has angle lengths 35 degrees, 115 degrees, and 25 degrees. A triangle has angle lengths 32 degrees, 115 degrees, and 33 degrees. A triangle has angle lengths 35 degrees, 120 degrees, and 35 degrees. A triangle has angle lengths 30 degrees, 120 degrees, and 20 degrees.
The diagram that will show possible angle measures of a triangle is. A triangle has angle lengths of 32 degrees, 115 degrees, and 33 degrees.
It should be noted that the sum of the angles that are in a triangle equals 180°. Therefore, in this situation, we'll need to add the values and the one that gives 180° is the right answer.
Therefore, when a triangle has angle lengths 32 degrees, 115 degrees, and 33 degrees, the sum will be:
= 32 + 115 + 33
= 180°
Read related link on:
https://brainly.com/question/16942878
Answer:
Step-by-step explanation:
It's B
11. A roofer calculates his bid price using the formula P = 1.85s + 4.2f, where s is the area of the roof in square feet and f is the length of the fascia in feet. Find the area of the roof with 190 feet of fascia and a price of $4,148. Round to the nearest square foot
Replace f with 190, replace P with 4148 and solve for s:
4148 = 1.85s + 4.2(190)
Simplify:
4148 = 1.85 + 798
Subtract 798 from both sides:
3350 = 1.85s
Divide both sides by 1.85:
s = 1,810.81
Rounded to nearest square foot = 1811 square feet.
Can any kind soul help me
Step-by-step explanation:
2.(a) uniform speed = distance/ time
= ( 9×16) / 9
= 16 m/s
(b) 19-10 = 9s
(c) 16×9 = 144m
(d) rate of change of speed
= (v-u)/ t
= ( 7-16)/ 6
= -3/2 m/s²
3.(a) uniform speed = distance/ time
= ( 12×20 ) / 12
= 20 m/s
(b) 22-10 = 12s
(c) (12×20) + 1/2(20+60)(18)
= 240+720
= 960m
(d) acceleration
= (v-u)/ t
= ( 60-20 ) / 18
= 20/9 m/² or 2.22 m/s²
Will give BRANLIEST PLEASE HELP
Answer: n=6
Step-by-step explanation:
To solve this proportion, you solve this as you would any proportion. You would have to first cross multiply.
[tex]\frac{1}{5}(15)=\frac{1}{2}n[/tex]
[tex]3=\frac{1}2}n[/tex] [multiply both sides by 2]
[tex]n=6[/tex]
Which number sentence is NOT true? A. B. |-3| = -3 C. D. HELP PLEASE ILL GIVE BRAINLIEST!!!
Answer:
it looks like the question is not complete but anything in a bracket like(-3) since tjere is no number in front of it or anything to divide it if the number is alone there is no need for the bracket
Answer:
A
Step-by-step explanation:
There is a list of seven numbers. The average of the first four numbers is 5, and the average of the last four numbers is 8. If the average of all seven numbers is 6 4/7 , find the number common to both sets of four numbers.
Answer:
Number common to both sides=6
Step-by-step explanation:
Average of first four numbers=5
4*5=20
Average of the last four numbers=8
4*8=32
Average of all seven numbers=6 4/7
7*6 4/7
Find the number common to both sets of four numbers
Solution
4*5=20
4*8=32
32+20=52
7 * 6 4/7
=7*46/7
=46
Number common to both sides=52-46
=6
The cost for 3.5 pounds of shrimp is $14.63.
Find the unit price in dollars per pound.
If necessary, round your answer to the nearest cent.
Answer:
$4.18 dollars per pound
Step-by-step explanation:
We can find the price in dollars per pound by dividing the cost by the number of pounds:
14.63/3.5 = 4.18
This means the price in dollars per pound is $4.18
In rectangle ABCD what are the values of y and z?
A y = 5; z = 55
B y = 5; Z = 5
C y = 35; z = 55
D y = 55; z = 5
Answer:
The answer is option A.
∆BDC is a right angled triangle
Angles in a triangle add up to 180°
That's
z + 35 + 90 = 180°
z = 180 - 35 - 90
z = 55°
Alternate angles are equal
Angle DBC = Angle BDA
That's
35 = 7y
Divide both sides by 7
y = 5
y = 5 z = 55
Hope this helps you
A pilot wants to arrive at her destination as soon as possible. Air traffic is busy, so she can take off 10 minutes later than expected and will be able to travel three times faster than expected if she waits. Create an equation to represent her total travel time, including wait time, where x is the number of minutes the flight was expected to take.
Answer:
y = x/3 + 10
Step-by-step explanation:
Let y be the number of minutes the flight takes
She can take off 10 minutes later than expected. She will be able to travel at a speed three times than expected.
Let her expected speed be s, therefore, she can travel at 3s.
x = number of minutes the flight was expected to take.
In terms of distance and speed:
x = d / s ______(1)
where d = total distance traveled
The time for the flight (minus waiting time) is now the division of the distance she traveled and her speed, i.e.:
t = d / 3s
From (1):
=> t = x / 3
The time she spent waiting is 10 minutes.
Therefore, the total time that the flight takes (plus waiting time) is:
y = t + 10
=> y = x/3 + 10
The length of a rectangle is a centimeters, the width of this rectangle is b centimeters. Write an expression for the perimeter of this rectangle.
Answer:
2a+2b
Step-by-step explanation:
I am pretty sure that if the length is a and width is b, you would add them twice together. I am actually not quite sure.
Hope this helped you
I am sorry if this was wrong, I am still a beginner at this
CAN I GET SOME HELP ASAP PLEASE
Answer:
11.2 - B to C12 - B to A8.8 - A to CYou have to multiply all the sides by 4.
B to C = 2.8*4
2.8 * 4 = 11.2
B to A = 3*4
3*4 = 12
A to C = 2.2*4
2.2*4 = 8.8
Hope this helped!
A 6 sided die numbered 1 to 6 is rolled . Find the probability that in the roll of the results is an odd number or less than 4
Answer:
4/6 or 66%
Step-by-step explanation:
Odd numbers from 1 to 6 are: 1, 3, 5
Numbers less than 4 are: 1, 2, 3
So there are 4/ 6 possible outcomes.
So the probability is 4/6 or 66%.
the diagram shows a 5cm x 5cm x 5cm cube calculate the length of the diagonal AB give your answer correct to 1 decimal place
Answer:
√3 * 5 = 5√3 cm
Step-by-step explanation:
→ ABCDEFGH is a cube.
→ CF = Diagonal of cube.
→ CH = Diagonal of Base Face BCDH.
→ Let the side of Each cube = a.
Than,
in Right ∆CFH, By Pythagoras Theoram, we have,
→ CH² + FH² = CF² --------- Equation (1)
and, Similarly, in Right ∆CDH ,
→ CD² + DH² = CH² ------- Equation (2).
Putting Value of Equation (2) in Equation (1), we get,
→ (CD² + DH²) + FH² = CF²
→ a² + a² + a² = CF²
→ CF² = 3a²
→ CF = √3a .
Hence, we can say That Diagonal of a cube is √3 times of its sides.
__________________
Given:-
Side of cube = 5cm.
So,
→ Diagonal of cube = √3 * 5 = 5√3 cm. (Ans.)
50 POINTS
Evaluate each function if f(x) = 5x3 +1, g(x) = – 2x2, and h(x) = - 4x2 – 2x +5
a. f(-8)
b. 9(-6)
c. h(9)
Answer:
see below
Step-by-step explanation:
f(x) = 5x^3 +1, g(x) = – 2x^2, and h(x) = - 4x^2 – 2x +5
f(-8) = 5(-8)^3 +1 = 5 *(-512) +1 =-2560+1 =-2559
g( -6) = -2 ( -6) ^2 = -2 ( 36) = -72
h(9) = -4( 9)^2 -2(9) +5 = -4 ( 81) -18+5 = -324-18+5=-337
PLEASE HELP ME IS FOR TOMMOROW
Answer:
65°
Step-by-step explanation:
The missing angle is x°
tan x° = [tex]\frac{opposite }{adjacent}[/tex]
tan x° = [tex]\frac{850}{400\\}[/tex]
tan x° = 2.125
Using a calculator insert
tan^(-1)(2.125) ≈ 65° (after rouding the the nearest unit)
Soccer team has 10 players in a tournament there are seven teams and two players on each team drop out how many are there left
Answer:
1 team = 10 players
7 teams = 7×10 players
= 70 players
drop out players:
1 team = 2 players
7 teams = 2×7
= 14 players
how many left ?
= total players - drop out players
= 70 - 14
= 56 players
school fair ticket costs $8 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who went to the fair was 30, and the total money collected was $100. Which of the following options represents the number of children and the number of adults who attended the fair that day, and the pair of equations that can be solved to find the numbers? (4 points)
Answer:
12 adults and 4 kids were there that the fair
Step-by-step explanation:
Solve for the width in the formula for the area of a rectangle.
Use the rewritten formula to find the width of a rectangle with an area of 42 square inches and a length of 16.8 inches.
Answer:
2.5
Step-by-step explanation:
42/16.8=2.5
Answer:
w=A/I
2.5in
Step-by-step explanation:
This is the full answer
I will make you a brainllest I need help :)
Answer:
32
Step-by-step explanation:
Lets work it out.
First we combine the two equations to get 5x-10. That is equal to 70 so we get out x = 16 we put that into the equation 3x-10 and get 32
can someone help me plz
Answer:
7 cm
Step-by-step explanation:
The area of a right triangle is given by
A = 1/2 bh
21 = 1/2 y* 6
21 = 3y
Divide each side by 3
21/3 = 3y/3
7 = y
The base is 7 cm
Area formula: A = bh/2
We have a height of 6, a base of y, and a area of 21.
Fill in and solve:
21 = y * 6 / 2
21 = 6y/2
21 = 3y
7 = y
Therefore, the base is 7
Best of Luck!
What is the solution to -2(8x - 4) < 2x+5
Answer: x>1/6
Step-by-step explanation:
For this problem, you solve it as if it had an equal sign.
-2(8x-4)<2x+5 [distribute -2]
-16x+8<2x+5 [combine like terms by adding and subtracting on both sides]
3<18x [divide both sides by 18]
x>1/6
Find the cost per ounce of a gold alloy made from 10 oz of pure gold that costs $1288 per ounce and 55 oz of an alloy that costs $900 per ounce. (Round your answer to the nearest cent.)
Answer:
$959.69 per oz
Step-by-step explanation:
A gold alloy is produced from pure gold and alloy.
10 oz of pure gold costs $1,288 per ounce
55 oz of alloy costs $900 per ounce
The first step is to add the cost of both the pure gold and alloy together
= (10 oz × $1288)+(55 oz × $900)
= $12,880+$49,500
= $62,380
Therefore the cost per ounce can be calculated as follows
= $62,380/10 oz + 55 oz
= $62,380/65 oz
= $959.69 per oz.
Hence the cost per ounce of the gold alloy is $959.69 per ounce
between which to whole numbers does the square root of 119 lie?
Answer:
10 and 11
Step-by-step explanation:
[tex]1^2, 2^2, 3^2, 4^2, 5^2, 6^2, 7^2, 8^2, 9^2, 10^2, 11^2\\1, 4, 9, 16, 25, 36,49,64,81,100,121[/tex]
The [tex]\sqrt{119}[/tex] lies between whole number 10 and 11 since it lies between 100-121 which square rooted, is 10 and 11.
Answer:
Between 10 and 11
Step-by-step explanation:
10 squared (10 x 10) is 100 and 11 squared (11 x 11) is 121, the number 119 is between 100 and 121, therefore, the the square root of 119 lies between 10 and 11.
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Answer:
Option A and C
Step-by-step explanation:
An isosceles triangle have:
=> Two equal angles
=> Two sides with the same length
Answer:
A & C
Step-by-step explanation:
The triangle is an isosceles triangle. The two base angles are equal. Two sides of the triangle are same in length. All the angles in the triangle shown are less than 90 degrees.
PLEASE help me with this!! I need help!
Answer:
∠ BDG = 148°
Step-by-step explanation:
The tangent- chord angle BDG is half the measure of its intercepted arc DCG
The 2 arcs in the circle sum to 360°, thus
arc DCG = 360° - arc DG = 360° - 64° = 296° , thus
∠ BDG = 0.5 × 296° = 148°
Dana has to pay 10% tax on any income above £18,000 per year. Dana is paid £24,000 annually. Calculate the amount of money she receives after tax each month.
Answer:
£21,600
Step-by-step explanation:
First thing I did was turn 10% into a decimal of .10 . I then went ahead to multiply that tax by 24, 000. Once I did that I got 2 400. I then went ahead to subtract that from her paycheck and got the outcome of 21 600.
Just divide and check,
(x^2 + 7x + 10) ÷ (x + 2)
Answer:
x+5
Step-by-step explanation:
so first you would divide by x (which means you would multiply x+2 by -x)
x^2 + 7x + 10
-x^2 - 2x
5x + 10
then you would divide by 5 (which means you would multiply x+2 by -5)
5x + 10
5x +10
0
So then to check it you would multiply x+5 by x+2
(x+5)(x+2)
x^2 + 2x + 5x + 10
then simplify to get
x^2 + 7x + 10
A box contains 6 blue balls, 4 black balls and 5 red balls at the same size . A ball is selected at random from the box and then replaced . A second ball is then selected. Find the probability of obtaining ; (i) two red balls ; (ii) two blue balls or two black balls ; (iii) one black ball and one red balls.
Answer:
(i) 1/21
(ii) 1/10
(iii) Take a look at the explanation: Try this one yourself. I have given you some hints.
Step-by-step explanation:
(i) Two red balls:
To do this, we need to find the total amount of possible choices first. To do this, we multiply 15 by 14. This is our denominator:
15(14) = 210
Now, we need to find the total combinations of red balls. We solve 5 choose 2 for this one.
5 choose 2 = 5(4)/2! = 10
Our numerator is 10. Therefore, our probability is 10/210 = 1/21.
(ii) Two blue balls or two black balls:
To do this, we need to add the probabilities of getting a blue ball with a black ball. (Since there is an "or" sitting there. If there is an "and", we multiply)
So, let's calculate the probability of getting a blue ball first:
Blue:
We use the same denominator as before: 210.
Our numerator is now 6 choose 2, which is:
6 choose 2 = 6(5)/2! = 15.
Now, our fraction is 15/210, BUT, dont simplify, as we will need to add.
Black:
Same steps: denominator is 210, but the numerator is 4 choose 2.
Solving 4 choose 2:
4 choose 2 = 4(3)/2! = 6.
Our numberator is 6.
But, we cant forget to add them!
(15 + 6)/210 is 21/210, which is 1/10.
(iii) I'll let you try this one by yourself. Here is a hint:
Solve for the probability of chooseing a black ball and a red ball. Then, multiply.
Enjoy the process, and I hoped this helped you! (If you have any questions, feel free to ask)