Mathematics High School
Answers
Answer 1
Answer:
4. 432 cm^2/2 = 216 cm^2
6. 309.76 mm^2
8. pi * 22^2 = 484pi (or, approximately 1,519.76) in^2
484/2 = 242pi or 759.88 in^2.
10. 297.84 in^2/2 = 148.92 in^2
Step-by-step explanation:
To find the area of a triangle, you take the base and multiply by the height, and then divide by 2. Hence giving me the answers I obtained in #4 and #10.
A square is equal on all sides, so you would just square the measurement of the one side.
To find the area of a circle, you would do pi times the radius^2. Since this is a semicircle, you actually should divide the number you got by 2. (Which is why I did so up above).
I hope this helps!
Answer 2
The area of a shape is the amount of space it can occupy.
The areas of the shapes are: 216cm[tex]^2,[/tex], 309.76mm[tex]^2,[/tex],760.61in[tex]^2,[/tex] and 148.92 in[tex]^2,[/tex] respectively
(a) Triangle
Given that:
[tex]Base = 27cm[/tex]
[tex]Height = 16cm[/tex]
The area is:
[tex]Area = 0.5 \times Base \times Height[/tex]
[tex]Area = 0.5 \times 27cm \times 16cm[/tex]
[tex]Area = 216cm^2[/tex]
(b) Square
Given that:
[tex]Length = 17.6mm[/tex]
The area is:
[tex]Area = Length^2[/tex]
[tex]Area = (17.6mm)^2[/tex]
[tex]Area = 309.76mm^2[/tex]
(c) Semi-circle
Given that:
[tex]diameter =44in[/tex]
First, calculate the radius (r)
[tex]r = 0.5 \times diameter[/tex]
[tex]r = 0.5 \times 44in[/tex]
[tex]r = 22in[/tex]
The area is:
[tex]Area = \frac{\pi r^2}{2}[/tex]
[tex]Area = \frac{3.143 \times (22in)^2}{2}[/tex]
[tex]Area = 760.61in^2[/tex]
(d) Triangle
Given that:
[tex]Base = 20.4in[/tex]
[tex]Height = 14.6in[/tex]
The area is:
[tex]Area = 0.5 \times Base \times Height[/tex]
[tex]Area = 0.5 \times 20.4in \times 14.6in[/tex]
[tex]Area = 148.92in^2[/tex]
Hence, the areas are: 216cm[tex]^2,[/tex], 309.76mm[tex]^2,[/tex],760.61in[tex]^2,[/tex] and 148.92 in[tex]^2,[/tex] respectively
Read more about areas at:
https://brainly.com/question/16418397
Related Questions
Which ones are linear and nonlinear?
NEED ASAP
RIGHT ANSWER WILL GET MARKED AS BRAINLIEST
Answers
Answer:
A D E Are Linear And B C F Are Non Linear.
Step-by-step explanation:
I Had The Same Question And Got This Correct.
Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.75 per mile. Katie has no more than $10 to spend on a ride. How many miles can Katie travel without exceeding her limit?
Answers
Answer:
11 miles
Step-by-step explanation:
10-1.75=8.25
8.25÷.75=11
please I BEG YOU! Find the ordered pair (x,y) if x+y=(5-x)+(5-y), x-y=(x-1)+(y-1).
Answers
Answer:
x=4, y=1
I think its that
Step-by-step explanation:
I am a two-digit number. I have a three in the ones place. I am less than 16.
What number am I?
Answers
Answer:
13
Step-by-step explanation:
It is a two digit number that is less than 16. That means it's either 10,11,12,13,14 or 15. 13 is the only number with a three in the ones place.
I ALREADY ASKED THIS QUESTION BUT SINCE NO ONE ACTUALLY HELPED ME IM ASKING AGAIN BC I REALLY NEEDA TURN IT IN SO PLEASEEE HELP!!
A 20 foot ladder is placed against a wall at a 75 degree angle with the ground. The wall is perpendicular to the ground.
PART A: How high on the wall, in feet, will the ladder reach? Round your answer to the nearest tenth. Show your work.
PART B: What is the distance, in feet, from the wall to the base of the ladder? Show your work.
Answers
Answer:
A. 19.3ft B. 5.2ft
Step-by-step explanation:
So the ladder leaning against the wall forms a triangle. The hypotenuse of
triangle is the ladder (20) and the angle given between ladder an ground is 75 degrees. Use trig to find the height of the wall which is the leg of the triangle.
Sine of Angle is opposite side/hypotenuse
Cosine of Angle is adjacent side/hypotenuse
so Sine of 75 degrees = Wall height/20
Wall height = 20 times Sine of 75 degrees
Sine of 75 degrees = .9659
20 times (.9659) = 19.3ft
So now use Cosine to find the other leg of the triangle (the distance between the bottom of ladder to the wall)
Cosine of 75 degrees = Distance wall to base of ladder / 20
Cosine of 75 degrees = .2588
20 times (.2588) = 5.2ft
Simplify each algebraic expression.
2a +3(a +7)–(3a +3)
Answers
Answer:
2a+18
Step-by-step explanation:
[tex]2a +3(a +7)-(3a +3)\\\\Expand\: 3(a +7) :\\3a+21\\\\=2a+3a+21-\left(3a+3\right)\\\\-(3a+3)=-3a-3\\\\=2a+3a+21-3a-3\\\\Simplify\\\\=2a+18[/tex]
16) Ken earned $128 from his part-time job this summer. He spent 25% of his money on games. He
is going to donate 1/6 of the remaining money to charity. How much will the charity receive?
OA) $15
OB) $16
OC $32
OD) $80
Answers
Answer:
B) $16
Step-by-step explanation
A shoe store buys a shipment of nike shoes that cost $70 each to the purchases. They want to markup their prices for the customers by 30%. How much would the customer pay for a pair of nikes
Answers
Given :
A shoe store buys a shipment of Nike shoes that cost $70 each to the purchases.
They want to markup their prices for the customers by 30%.
To Find :
How much would the customer pay for a pair of Nikes.
Solution :
C.P = $70 .
It is given that selling price is 30% more than the S.P.
So, S.P = C.P + C.P×0.30
S.P = C.P×1.30
S.P = 70×1.30
S.P = $91.
Therefore, the customer would pay $91 for a pair.
which of the following represents the solution to the equation 4x-2=10
Answers
Answer:
x = 3
Step-by-step explanation:
If you move -2 to the right side of the equation, you get:
4x = 12
Divide both sides by 4, and you get:
x = 3.
4x-2=10
• 4x-2+2=10+2
• x=3
Find m∠2. pls help!!!
Answers
Answer: 130
Explanation:
The green and red angles are alternate exterior angles. They alternate on either side of the transversal line. They are exterior because they are outside the parallel lines (think of the interior region as a river and the exterior regions as the shorelines).
Recall that alternate exterior angles are congruent when we have parallel lines. This is similar to how alternate interior angles are congruent due to parallel lines.
Since the angles shown are congruent, this must mean angle 2 is also 130 degrees.
1/4 divided by 1/13 please help !
Answers
Answer:
13/4
Step-by-step explanation:
We do reciprocal of 1/13 it will be 13/1 after we multiply last answer 13/4
Answer:
3 1/4
Step-by-step explanation:
[tex] \frac{1}{4} \div \frac{1}{13} \\ \\ = \frac{1}{4} \times \frac{13}{1} \\ \\ = \frac{1 \times 13}{4 \times 1} \\ \\ = \frac{13}{4} \\ \\ = 3 \frac{1}{4} \\ [/tex]
Need help ASAP plz I have to finish but I’m stuck here
Answers
Ello I think it could be B
Help? Show work!
m∠ABC=(6x+8)° and m∠DEF=(12x-8)°.
If ∠ABC and ∠DEF are supplementary,what
is the measure of each angle?
Answers
Answer:
m∠ABC = 68°
m∠DEF = 112°
Step-by-step explanation:
Supplementary angles are angles that add up to 180 degrees (they form a straight line).
If ∠ABC and ∠DEF are supplementary, that means that they add up to 180. We can write this in an equation:
(6x + 8) + (12x - 8) = 180
Combine like terms.
18x = 180
Divide both sides by 18.
x = 10
Find the measure of each angle by substituting 10 for x into both expressions for the angles.
m∠ABC = (6x + 8)°
6(10) + 8 = 68°
m∠DEF = (12x - 8)°
12(10) - 8 = 112°
Answer :
→ (6x + 8) + (12x - 8) = 180°
→ 6x + 8 + 12x - 8 = 180°
→ 18x = 180°
→ x = 180 ÷ 18
→ x = 10°
Now, we are given that m∠ABC = (6x+8) just subsitute the value of x in it .
→ m∠ABC = (6x + 8)
→ m∠ABC = (6 × 10 + 8)
→ m∠ABC = 60 + 8
→ m∠ABC = 68°
Similarly, subsitute the value of x in m∠DEF = (12x - 8)° we get :
→ m∠DEF = (12x - 8)°
→ m∠DEF = (12 × 10 - 8)
→ m∠DEF = 120 - 8
→ m∠DEF = 112°
How many cubic centimers of water can this paper cone cup hold?
Answers
Answer:
B: 48π cubic centimeters
Step-by-step explanation:
A: 216π cubic centimeters
B: 48π cubic centimeters
C: 144π cubic centimeters
D: 192π cubic centimeters
Volume of the paper cone cup = 1/3πr²h
Diameter = 8 cm
Radius, r = diameter / 2
= 8 cm / 2
= 4 cm
Height, h = 9 cm
Volume of the paper cone cup = 1/3πr²h
= 1/3 × π × 4² × 9
= 1/3 × π × 16 × 9
= (1 × π × 16 × 9) / 3
= 144π / 3
= 48π cm³
Volume of the paper cone cup = 48π cm³
Jon thinks of a number between 1 and 10.The cube of the number is equal to the square of double the number.What is number jon is thinking of?
Answers
Answer:
4
Step-by-step explanation:
4^2=8 8^2=64
4^3=64
Jon is thinking about 4
Isabella drives at a constant 45 miles per hour is she drives for why miles and it takes her X hours what is the two variable equation to represent the number of miles isabella Drive Annex hours
Answers
Answer:
Required two variable relation is 45x =y
Step-by-step explanation:
Speed of isabella car is v = 45 miles per hour
now, According to question she takes Y miles( = distance) in X hours (= time)
from The relation of velocity i.e.
velocity = [tex]\frac{distance}{time }[/tex]
on substituting the values in the above relation we get,
v = 45 = [tex]\frac{y}{x}[/tex]
on further rearranging of terms we get,
[tex]45x[/tex] = y
HENCE, required relation is 45x =y , which is a two variable equation.
Omg please help ASAP!!
Answers
Answer:
try the first, fourth, and last one
Step-by-step explanation: when you read the question it say select all that apply to form the equation so all you have to do is select the numbers and the variables that are in the equation above.
PLEASE HELP WITH MARK BRAINIEST
A rabbit can hop 6 feet in 2 seconds and 12 feet in 4 seconds. If the number of feet varies directly with the time the rabbit spends hopping, at what speed is the rabbit hopping?
Answers
Answer:
3 feet per second isnt this really easy tho-
Step-by-step explanation:
8/11 x (5/9 - 1/6) ÷ 1 5/9
Answers
Answer:
28/165
Step-by-step explanation:
You always use the order of operations, and the order of operations says to solve parentheses first, so you would solve 5/9 - 1/6, and get 7/18.
You would do exponents next, if there were any, but there is not, so you move on to the next operation(s).
The next operations are multiplication and division. From left to right, multiplication is first, so you solve 8/11 x 7/18 and get 28/99. Then, there is a division problem to solve. The problem is 28/99 ÷ 15/9. If you solve that correctly, you will get the answer 28/165.
The next step would be to simplify 28/165, but it cannot be simplified, so you are left with the answer 28/165.
4
-1
-2
-3
5
The equation of the line in this graph is y=
I
x+
Answers
Answer:
The answer would be:
thec correct equation of the line is : y = 3 + 1.5x
tep-by-step explanation:
Mike saves $2,000 at a yearly simple interest rate of 2%. He earns $280 in interest. For how many years did he save this money?
Answers
Answer:
7 years.
Step-by-step explanation:
To find this, we need to find 2% of 2,000. To do this, we mulitply 2,000 by .02. This gets us 40. Now, we need to divide 280 by 40 to find the amount of years it took for Mike to get this money. When we do that, it gets us 7. That means Mike saved that money for 7 years.
The number of years that he saves this money will be 7 years.
What is simple interest?
Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
The formula for interest is written as,
I = (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
Mike saves $2,000 at a yearly simple interest rate of 2%. He earns $280 in interest. Then the number of years is calculated as,
$280 = ($2,000 x 2 x T) / 100
$28,000 = $4,000 x T
T = $28,000 / $4,000
T = 7 years
The number of years that he saves this money will be 7 years.
More about the simple interest link is given below.
https://brainly.com/question/2793278
#SPJ5
On a coordinate plane, point A is 1 unit to the left and 1.25 units up. Point B is 1.25 units to the left and 0.25 units up. Point C is 0.25 units to the left and 1 unit down. Point D is 0.25 unit to the left and 0.25 unit up.
Which point is located at (Negative 1, 1, and one-fourth)?
A
B
C
D
Answers
Answer:
It is Number A
Step-by-step explanation:
Got it off edge 2021 6th grade assighnment
Answer:
a lol
Step-by-step explanation:
Every morning runs for 30 minutes. If runs 6 miles per hour, how far does travel? Use the equation drt, where d is the distance, r is the rate, and t is time.
Answers
Answer:
3 Miles
Step-by-step explanation:
D = R*T
0.5*6 = 3
so 3
For a second of sauce 1 and sauce 2 Andrew plans to use 3,180 green peppers and 5,560 hot chili peppers
Answers
Answer: Um ok? What are the measurements of the original batches...
Step-by-step explanation:
ashley is 4 years less than 3 times savannahs age. if ashley is 29 years old, how old is savannah? please help!
Answers
Answer:
11 years old
Step-by-step explanation:
Let x be Savannah's age
Ahsleys age should be 4 years less than three times Savannah's age
3x (Savannah) - 4 (years)
Then, you make an equation.
29 years old = 3x-4
simplify:
add four on both sides
33=3x
divide by three on both sides
x=11
Meg plotted the graph below to show the relationship between the temperature of her city and the number of sweaters sold at a store:
Part A: In your own words, describe the relationship between the temperature of the city and the sale of sweaters in the city. (5 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work. (5 points)
Answers
Answer:
please put in the graph
answers for the 2 boxes please :)
Answers
(-3,-6) i hope this helps
have a great day!:)
in dallas, a tax of 11,400 is owed on a property tax whose value is 600,000. if tax rates are proportional in this city, find the tax property on whose value is 340,000
Answers
Answer:
6460
Step-by-step explanation:
Use tax/property ratio:
11400/600000 = x/ 340000x = 340000*11400/600000x = 6460
With explanation please, step by step if is necessary, I need heeelp!
Answers
Answer:
[tex]area \: of \: the \: circle \: = \: \pi {r}^{2} \\ so \\ \: 10 = \pi {r}^{2} \\ {r}^{2} = \frac{10}{\pi} \\ r = \sqrt{ \frac{10}{\pi} } \\ r = \frac{ \sqrt{10} }{ \sqrt{\pi} } \\ r = \frac{ \sqrt{10} \times \sqrt{\pi} }{ \sqrt{\pi} \times \sqrt{\pi} } \\ r = \frac{ \sqrt{10\pi} }{\pi} \\ since \: d \: = 2r \\ so \\ d = 2( \frac{ \sqrt{10\pi} }{\pi} ) \\ \\ d = \frac{2 \sqrt{10\pi} }{\pi} \\ since \: circumferenc \: = 2r\pi \\ so \: circumference = 2( \frac{ \sqrt{10\pi} }{\pi} )\pi \\ = 2( \sqrt{10\pi} ) \\ = 2 \sqrt{10\pi} [/tex]
NEED HELP ASAP
jasmine is baking and selling cupcakes for $15 per dozen she would like to make more than $120 in cupcake sales which number line below represents the solution to the situation
Answers
Answer:
d
Step-by-step explanation:
