Answer:
The height of the triangle is 8 meters and the radius of the semi-circle is 2 meters
Step-by-step explanation:
The area of a triangle = [tex]\frac{1}{2}[/tex] × b × h, where
b is the length of the baseh is the length of the heightThe area of a semi-circle = [tex]\frac{1}{2}[/tex] π r², where
r is the length of the radius∵ The area of the figure = Area Δ - Area semicircle
∵ The area of the figure = [tex]\frac{1}{2}[/tex] × b × h - [tex]\frac{1}{2}[/tex] π r²
∵ The base of the triangle is 12 meters
→ Substitute it in the area of the figure above
∴ The area of the figure = [tex]\frac{1}{2}[/tex] × 12 × h - [tex]\frac{1}{2}[/tex] π r²
∴ The area of the figure = 6h - [tex]\frac{1}{2}[/tex] π r²
∵ The area of the figure = 48 - 2 π
→ Equate the two expressions of the area of the figure
∴ 6h - [tex]\frac{1}{2}[/tex] π r² = 48 - 2 π
→ Equate the like terms of the two sides
∵ 6h = 48
→ Divide both sides by 6 to find h
∴ h = 8
∵ - [tex]\frac{1}{2}[/tex] π r² = -2 π
→ Divide both sides by -π
∴ [tex]\frac{1}{2}[/tex] r² = 2
→ Multiply both sides by 2
∴ r² = 4
→ Take √ for both sides
∴ r = 2
The height of the triangle is 8 meters and the radius of the semi-circle is 2 meters
what is the slope of a line perpendicular to a line whose equation is -2y=3x+7
Answer:
(2/3)
Step-by-step explanation:
-2y = 3x + 7
y = 3/-2 + 7/-2
y = (-3/2) + (-7/2)
find the reciprocal of the slope (-3/2) which gets you the perpendicular slope of (2/3)
Consider the line that passes through each pair of given points, and decide what type of slope the line has.
(2, 4) and (5, 1)
undefined slope
(3,5) and (-1,2)
negative slope
(-7, 8) and (-7,0)
positive slope
(6.-3) and (4, -3)
zero slope
Answer:
The slope of line through (2, 4) and (5, 1) is Negative
The slope of line through (3,5) and (-1,2) is Positive
The slope of line through (-7, 8) and (-7,0) is Undefined
The slope of line through (6.-3) and (4, -3) is Zero
Step-by-step explanation:
Slope is defined as the steepness of a line.
Slope is denoted by m and the formula for calculating slope is:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Here
(x1,y1) and (x2,y2) are coordinates of the points through which the line passes
Now,
For (2, 4) and (5, 1):
[tex]m = \frac{1-4}{5-2} = \frac{-3}{3} =-1[/tex]
NEGATIVE
For (3,5) and (-1,2)
[tex]m = \frac{2-5}{-1-3} = \frac{-3}{-4} = \frac{3}{4}[/tex]
POSITIVE
For (-7, 8) and (-7,0)
[tex]m = \frac{0-8}{-7+7} = \frac{-8}{0}[/tex]
UNDEFINED
For (6.-3) and (4, -3)
[tex]m=\frac{-3+3}{4-6} = \frac{0}{-2} = 0[/tex]
ZERO
Hence,
The slope of line through (2, 4) and (5, 1) is Negative
The slope of line through (3,5) and (-1,2) is Positive
The slope of line through (-7, 8) and (-7,0) is Undefined
The slope of line through (6.-3) and (4, -3) is Zero
Over three days I earn 2568. On the first day I made twice as much as the second day. On the third day I made three times as much as the second day. How much did I earn on the first day.
Answer:
I earned $856 on the first day
Step-by-step explanation:
Let's call
x = earning on the second day
2x = earnings on the first day
3x = earnings on the third day
The total earnings are $2568, thus
x + 2x + 3x = 2568
Simplifying:
6x = 2568
Dividing by 6:
x = 2568/6
x = 428
I earned $428 on the second day.
2x = 2*$428 = $856
I earned $856 on the first day
Need help ASAP. Please
Answer:
The answer is 100% without a doubt B
Step-by-step explanation:
(Giving brainliest!!!)
A dance team is going to spend $1,440 to purchase all sweatshirts or all jackets for the team members. Sweatshirts cost $24 each. Jackets cost $32 each. What is the greatest number of Sweatshirts or Jackets the team can purchase??
The team can purchase_______sweatshirts or________jackets.
Answer:
60 sweatshirt Or 45 jackets
Step-by-step explanation:
Total amount = $1,440
Sweatshirts = $24
Jackets = $32
What is the greatest number of sweatshirts or jackets the team can purchase?
The greatest number of sweat- shirts the team can purchase = Total amount / cost of sweatshirt
= $1,440 / $24
= 60
The greatest number of jackets the team can purchase =Total amount /cost of jackets
= $1,440 / $32
= 45
Therefore, the greatest number of sweatshirts or jackets the team can purchase is
60 sweatshirt
Or
45 jackets
Answer:
60 Sweatshirts
45 jackets
Step-by-step explanation:
take the amount of money divide by the cost of the jacket or sweatshirt.
$600 a month on groceries, if this is 15% of the monthly budget, what is the monthly budget
Answer:
$4,000
Step-by-step explanation:
.15x = $600
.15x = $600. divide both sides by .15
.15. .15
x = $4,000
A group of 4 friends went to lunch and spent a total of $40, which included the $34 food bill and the tip. They decided to split the bill and tip evenly among themselves.
One of the friends used the equation One-fourth (t + 34) = StartFraction 40 over 4 EndFraction to represent the situation, where t represents the total amount of the tip. Which describes the amount each friend paid for the food and for the tip?
Each friend paid $8.50 for the food and $1.50 for the tip.
Each friend paid $10.00 for the food and $6.00 for the tip.
Each friend paid $8.50 for the food and $6.00 for the tip.
Each friend paid $10.00 for the food and $1.50 for the tip.
Answer:
TOP ONE IS RIGHT
Step-by-step explanation:
Answer:
A. Each friend paid $8.50 for the food and $1.50 for the tip.
Step-by-step explanation:
Quiz on Edge 2021
ΔωΔ Happy Halloween
Multiply the binomials.
1) (x + 5)(x-2)
Answer:
the answer is x²+3x-10
Step-by-step explanation:
(x + 5)(x-2)
x²-2x+5x-10
x²+3x-10
Answer:
x^2+3x-10
Step-by-step explanation:
(x + 5)(x-2)
x^2-2x+5x-10
x^2+3x-10
find the mean for the scores : 3810;5300;8540;4300,5340
Answer: 5458
Step-by-step explanation: So the mean is the same thing as the average. To find the mean you add up all of the numbers, and then divide by 5 because there are five numbers. So the sum would be 27,290. Then that divided by 5 would be 5458.
The mean of the scores 3810, 5300, 8540, 4300 and 5340 is, 5466.
What is mean?Mean is an average of values of a set. Arithmetic mean, geometric mean and harmonic mean are the type of mean.
The given scores are
3810, 5300, 8540, 4300, 5340
Total number of terms is 5.
To find the mean, use formula,
Mean = sum of terms/number of terms.
Mean = (3810+5300+8540+4300+5340)/5
= 27330/5
= 5466
Mean of the given score is, 5466.
To learn more about Mean on:
https://brainly.com/question/27824219
#SPJ2
92,902 to the nearest ten thousand
Answer:
90,000 i think sry if im wrong
Step-by-step explanation:
(03.02 MC)
Which of the following is a factor of 12x2 − 4x − 1? (6 points)
Group of answer choices
A. 6x − 1
B. 2x + 1
C. 2x − 1
D. None of the above
Answer:
C
Step-by-step explanation:
I'm having trouble understanding this..
a bank teller. helps two customers omar makes a $15 withdrawal so he balance changes by -$15. jakes makes a $10 deposit so his balance changesby $10
Answer:
D. Omar's transaction involves more money, because |-15| is greater than |10|.
Step-by-step explanation:
The absolute value of a number is simply the magnitude or numerical value of a number while ignoring any sign attached to it. For example, given that x is a real number, absolute value of x, |x| = x. The absolute value of x does not take account of any sign attached to it.
Thus:
The absolute value of Omar's transaction is given as |-15| = 15.
While that of Jake is |10| = 10.
15 is greater than 10.
Therefore, we can conclude that:
"Omar's transaction involves more money, because |-15| is greater than |10|."
Answer:
The answer is D
Step-by-step explanation:
Which student best fills the role of group notetaker? Yuna, who is positive and considers other viewpoints Hiroto, who is focused and sticks to a schedule Rin, who is a good speaker and mediator Sora, who is a good listener and writer
Answer:
Sora
Step-by-step explanation:
she listens well, and will be able to catch and take note of everything along with the fact that her writing is eligible and easy to interpret.
Answer:
sora
Step-by-step explanation:
Tim typed a 46-word paragraph in 3/4 of a minute. What is his typing speed per minute?
Iḿ sorry this is prob. so easy I just bad at math. :(
Answer:
Hmm, I think the answer is 57.5.
Step-by-step explanation:
Since 46 = 3/4, we divide 46 by 4 to get one fourth. That is 11.5 . Then, multiply it by 4 to get by one minute. 11.5 x 4 = 57.5
You decide you need to start placing money aside for your new car which you would like to purchase in the next 2 to 3 years. Would this be considered investing?
a line has a slope of negative 1 over 2 and a y-intercept of -2 what is the x intercept of the line
Answer:
x=-1
Step-by-step explanation:
plug in zero for y
y= -1/2x -2
0= -1/2x-2
2= -1/2x
-1=x
WHAT % OF 95 DOLLARS = 57 DOLLARS
Answer: 60%
Step-by-step explanation:
Our answer is 60 because:
57 ÷ 95 = 0.6
We take the 0.6 and multiply.
We get 60% as an answer.
Answer:
60%
Step-by-step explanation:
To find the answer to this equation, you need to use the percent composition formula. It is as follows:
[tex]\frac{part}{whole} * 100 = percent[/tex]
Let's plug in what the question gives us into the equation:
[tex]\frac{57}{90} *100 = 60[/tex]
Therefore, the answer to your question is 60%!
Hope this helps!!
- Kay :)
2/5 divided by 2/3
[tex] \frac{2}{5} \div \frac{2}{3} \\ \\ = \frac{2}{5} \times \frac{3}{2} \\ \\ = \frac{6}{10} \\ \\ =0.6[/tex]
..... Hope this will help....
Can someone please solve this for me?
You have to solve for x and y!
Answer:
x=−175 and y=−1220
Step-by-step explanation:
Based on the Vertical Angles Theorem, -7x+5=y
Since we know that 2 angles that form a line when combined equal 180 degrees, we know that (4-12x)+y=180
-7x+5=y
(4-12x)+y=180
Now we solve the system:
7x+5=y;−8x+y=180
First, we solve 7x+5=y for y:
7x+5+(−y)=y+(−y)
7x−y+5=0
7x−y+5+ (−5)=0+ (−5)
7x−y=−5
7x−y+(−7x)=−5+(−7x)
−y=−7x−5
-y/-1=(-7x-5)/-1
y=7x+5
Now we will substitute 7x+5 for y in the other equation:
−8x+y=180
−8x+7x+5=180
−x+5=180
−x+5+(−5)=180+(−5)
−x=175
-x/-1 = 175/-1
x=−175
Finally, we'll substitute -175 for x in y=7x+5:
y=7x+5
y=(7)(−175)+5
y=−1220
HTH :)
|y+3|=7
Absolute value! Help!
Answer:
y=4
Step-by-step explanation:
y+3=7. take 3 off and also off the 7 then you get 4 which is the ansew as 3+4 equals 7 it is simple algebra substitute
-3. -3
7-3=4
CAN YOU ANSWER THIS PLEASE
Please help it was due a week ago I numbered them (with poor handwriting) anyways yeah please help
Answer:
Functions - 2, 3
Not a Function - 1, 4, 5, 6
Help now fast please
Answer:A. 5m + 40
see in the picture, u can see that the line passes through (0;40) and (10;90)
suppose: the equation of the line is y = am + b (a ≠ 0)
because the line passes through (0;40) => 40 = b
the line passes through (10;90) => 90 = 10a + b
=> b = 40
a = 5
=> y = 5m + 40
Step-by-step explanation:
Solve for the distance between the points (0, -9) and (-4, 3). Simplify your answer.
Answer:
The distance is [tex]4\sqrt{10[/tex]
Step-by-step explanation:
I used the distance formula
simplify 3x cubed y4 * 2x6y
Answer:
(3•2x8y5)
Step-by-step explanation:
How do I factor x2 - 7 = 6x?
Answer:
x=7,x=-1
Step-by-step explanation:
x^2-6x-7=0
x^2+1x-7x-7=0
x(x+1)-7(x+1)=0
(x-7),(x+1)=0
ooooooooooooohhhhhhhhh
Answer:
A
Step-by-step explanation:
Jennifer is planning a vacation. The hotel costs $60 per night and her flights cost $150. She has a budget of no more than $500 for hotel and flights. Up to how many nights can she afford n the hotel? Write an inequality and solve.
Answer:
5 Nights
Step-by-step explanation:
Which relation is a function?
A function maps one input to one output, where x is the input and y is the output.
The input CANNOT BE REPEATED.
Which table shows this fact?
The only table that DOES NOT SHOW a repeated input is choice A.
Answer: choice A