Answer:
Area of trapezoid 1: 128
Area of trapezoid 2: 24
Step-by-step explanation:
Trapezoid 1:
(18 + 14)8/2
32*8/2
256/2
128
Trapezoid 2:
(9 + 7)3/2
16*3/2
48/2
24
3. Convert this rate (80km/hr) to a rate measured in m/s
A father is eight times as old as his son . In 10 years , he will be three times as old as his son . The age of son is
Answer:
The son is 4years old
Step-by-step explanation:
Let the son's age=x
the father's age=8x
IN 10YEARS,
Son's age=x+10
father's age=8x+10
Equate them
8x+10=3(x+10)
8x+10=3x+30
5x=20
x=4
PLS HELP FAST ILL GIVE BRAINLIEST
When y=48, x=4.2. If the value of y varies directly with x, what is the value of y when the value of x is 10.6?
Answer:
y = 121.14
Step-by-step explanation:
For this, we will need to start by cross multiplying.
(4.2 * y) = (48 * 10.6)
4.2y = 508.8
to isolate the varible, we need to divide both sides by 4.2
y = 121.14
The water pipe has a radius of 5 cm and a height of 7 cm. What volume of
water does it take to fill the pipe?
Answer:
549.5 cm
Step-by-step explanation:
Answer:
pipe is cylinder
volume= pi r²h
radius= 5cm
height= 7cm
volume = 22/7 × (5×5) × 7
simplifying the equation
= 22 × 25
= 550cm³
Graph the solutions of the given system of linear inequalities.
y < 3x-2
y ≤ x + 1
Answer:
pls upload photo for your question
48÷-6-(-2)3
Calculate the following , showing all the steps
Answer:
-2
Step-by-step explanation:
48 ÷ -6- (-2)3
= -8 - (-2)3
= -8 - (-6)
= -8 +6
= -2
The ratio of girls to boys is 12 girls to 20 boys.
If there are 3 girls, how many boys are there?
There are
boys.
Next Question
Answer:
5
Step-by-step explanation:
ratio = 12:20
12/4 = 3
so we do
20/4 = 5
there are 5 boys
Another way, we can write it as a fraction
12/20 = 3/x
12x = 60
x = 5
Answer:
5 boys
Step-by-step explanation:
Write it like this:
3/X=12/20
Then, cross multiply.
3*20=60
X*12=12X
12X=60
Divide both sides by 12
60/12=5
X=5
The unknown number is 5
If there are 3 girls, then there are 5 boys.
A father is 28 years older than his daughter. In six years' time, he will be three times her age. Find their present ages.
Please include your working out!!
Answer:
Daughter's age = 6Father's age = 34Step-by-step explanation:
Let the age of daughter be x
Then the age of father will be x + 28
In 6 years time:-
The age of father = x + 28 + 2 = 30 + x
The age of daughter = x + 6
According to the question,
Father will be three times the age of his daughter.
30 + x = 3(x + 6)
30 + x = 3x + 18
x - 3x = 18 - 30
-2x = - 12
x = - 12/-2
x = 6
So therfore,
Daughter's present age = 6 years
Father's present age = 34 years
Hope this helps :)
What is the range of this data set?
3.7, 18.5, 2.7, 13.8, 7.5, 15.2, 10.1, 7.6, 17.8
14.1
15.8
17.8
18.5
Answer:the answer is 15.8
Step-by-step explanation:
Start time: 6:30 PM
Elapsed time: 2 hours and 18 minutes
End time _______
What is the end time?
Answer:
I think this is right but could be wrong 8:18 pm so lmk ??
8.40pm
Step-by-step explanation:
6.30 changed to 24 hour format
the answer will be 1830+0218=2048
31 POINTS!!!!!! PLEASE HELP ME AND EXPLAIN YOUR ANSWER!!!!!! HELP 31 POINTS!
WILL MARK BRAINLIEST AND ITS DUE SOON!!!! please help me.
please answer in steps :(
Answer:
h = 36.75 feet
Step-by-step explanation:
h(t) = - 3t² + 15t + 18
x - coordinate of vertex is ( - [tex]\frac{b}{2a}[/tex] )
t = - 15 ÷ [ 2( - 3 )] = 2.5 seconds
h(t) = - 3(2.5)² + 15(2.5) + 18 = 36.75 feet
Help im confused like alot
Answer: 5/2x-7-3/4x=3/4x+14-3/4x
7/4x-7=14
7/4x-7+7=14+7
7/4x=21
(4/7)*(7/4x)=(4/7)*(21)
x=12
Step-by-step explanation:
Yeh so simpliy it. I you do something to one side, do it to the other.
(5/2)x - 7 = (3/4)x + 14
first get rid of the smallest value of x which is 3/4.
We need to change the denominate for this
(10/4)x -(3/4)x -7 = (3/4)x - (3/4)x +14
which becomes
(7/4)x - 7 = 14
then get rid of -7 by adding on both side
= (7/4)x = 21
= x = 12
ASK IF YOU NEED MORE HELP! ALGEBRA IS IMPORTANT!
if your heat beats 75times per minute how many time does it beat in 5 hours
Answer:
This is your answer . IfI'm right so,
Please mark me as brainliest. thanks!!!
a watch is sold for $130 at a loss of $30. what was the original cost of the watch
Answer:
130.00 + 30.00 = $160.00
Step-by-step explanation:
q/19 < 4
pls be correct if you type it !!!!
Answer:
q<76
Step-by-step explanation:
hope this is the answer you were looking for!
Pig E Bank brags a 4% interest rate compounded annually. If Mr. Ant wants to invest $5,000
on his first born child's birthday and surprise him with the account on the child's 40th
birthday. Write and solve an equation to determine the amount in the account when his
child turns 40.
hii! i just wanted to say hope you're having a fantastic day and hope that things are going well (: stay strong and stay safe!
Please answer this below Question # 15
Answer:
[tex]c. \: 5x - 2y = 10 \\ \: \: \: \: \: 10x - 4y = 20 \\ [/tex]
Oatmeal is packaged in a right circular cylindrical container that has a radius of 1.5 inches and a height of 12 inches. What is the surface area of this container in terms of π?
Answer:
= 40.5π square inches
Step-by-step explanation:
Oatmeal is packaged in a right circular cylindrical container that has a radius of 1.5 inches and a height of 12 inches. What is the surface area of this container in terms of π?
The formula for the surface Area of a cylinder = 2πr( r + h)
r = 1.5 inches
h = 12 inches
Hence,
2 × π × 1.5( 1.5 + 12)
3π(13.5)
= 40.5π square inches
The surface area of the cylinder is
= 40.5π square inches
It takes Robert 5 minutes to complete 3 math problems. Use the equation y= x/3 times 5 to find how long it will take Robert to complete 12 math problems. x = math problems; y = minutes
Answer:
20 minutes
Step-by-step explanation:
y=(12/3)*5=20
Which term has the definition "A data point that is very large or very small in comparison
to the rest of the data set"?
A.Maximum
B. Outlier
C. Variability
D. Minimum
Answer:
B. Outliers
Step-by-step explanation:
10 less than twice a number cubed?
HELP PLEASE!!
Planes that fly at high speeds and low elevations have radar systems that can determine the range of an obstacle and the angle of elevation to the top of the obstacle. The radar of a plane flying at an altitude of 20,000 feet detects a tower that is 25,000 feet away, with an angle of elevation of 1∘.
a. How many feet must the plane rise to pass over the tower?
The plane must rise at least _____feet to pass over the tower.
Question 2
b. Planes cannot come closer than 1000 feet vertically to any object. At what altitude must the plane fly in order to pass over the tower?
The plane must fly at an altitude of at least ____ feet to pass over the tower.
Answer:
a. About 436 ft
b. 21,436 feet
Step-by-step explanation:
a. Notice how the plane's rise (h), its horizontal distance from the tower, and its distance to the top of the tower (25,000 ft) all form a right triangle. If we want to find h, we need some way of putting it in an equation with the two quantities we already know: the angle of elevation and the distance to the top.
In the language of right triangles, we want to combine an angle, the side opposite the angle, and the hypotenuse. The sine function is perfect for this, since [tex]\sin{\theta}=opp/hyp[/tex]. For our problem, opp = h, hyp = 25,000, and θ = 1°, so our equation becomes
[tex]\sin{1^\circ}=h/25000[/tex]
or equivalently
[tex]h=25000\sin{1^\circ}\approx436[/tex] ft (rounded up to the nearest whole foot)
b. If the plane is currently flying at 20,000 feet, it needs to rise about 436 feet to clear the top of the tower, and another 1,000 feet to follow safety protocol, making its required altitude 20,000 + 1,000 + 436 = 21,436 feet.
Find the area of the figure.
square with sides of 5.8 ft
The area of the square is___________ ft2.
PLEASE HELP
show work for problem
Answer:
[tex]tan(x)-1 =30/45[/tex]
Step-by-step explanation:
put that in your calculater
|(2+1/3) + 0.3| = 3.5
Answer:
False
Step-by-step explanation:
l(2+1/3) + 0.3| = 3.5
|7/3+3/10|=7/2
|79/30|=7/2
158=210
false
Barak spent $20 at the mall. This represents 16% of the money he earned working at the pizza parlor last week. How much money did Barak earn at the pizza parlor last week?
Answer: Amount of Money Barak earned last week =$125
Step-by-step explanation:
Amount of money Barak spent= $20
Amount of money spent = 16% of Money earned (X)can be represented as
16% x X =20
0.16 x X =20
X = Money earned last week = 20/ 0.16= $125
Richard and Stephen win some money and share it in the ratio 2:1. Richard gets £12 more than Stephen. How much did Stephen get?
Answer:
12
Step-by-step explanation:
because ratio 2 to 1 = all =3 if Richard got 12 more than stephan that is the one more so In 2 to 1/1=12 so stephan gets 12
Answer:
huh whats that? all you have to do is use the internet
Help!!!!!!!! someone give me the correct answer to this question.
I will mark you brainliest for the correct answer.
This is a big test.
Please help!!!
Answer:
20
Steps:
x + (x+5) + (7x-5) = 180
x + x + 5 + 7x - 5 = 180
2x + 5 + 7x - 5 = 180
9x + 5 - 5 = 180
9x = 180
x = 180/9
x = 20
how much force is needed to accelerate a 66kg skier at 2m/second
Answer:
[tex]\huge\boxed{\sf F = 132\ N}[/tex]
Step-by-step explanation:
Given Data:
Mass = m = 66 kg
Acceleration = a = 2 m/s²
Required:
Force = F = ?
Formula:
F = ma
Solution:
F = (66)(2)
F = 132 N
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Nina buys a small rug in the shape of a kite. The width of the rug is half its height. What are the width and the area of the rug
Answer:
Width = 1/2h
Area = 1/4h²
Step-by-step explanation:
This is quite a vague question from you. Being asked to find the width and area of a particular shape, without being given dimensions.
However, I would try to solve it nonetheless.
From your question, you stated that the width of the rug is half its height, if so, then,
w = 1/2h
Again, you're being asked to find the area. Area of a kite is given as
Area = 1/2 * Width * Height and as such, we have
Area = 1/2 * 1/2h * h
Area = 1/4 * h²
All that you need to do now is substitute the value of h