The area of a triangle is 1/2 x base x height.
The area of the triangle is 1/2 x 6 x 8 = 24 square cm.
There are 4 identical triangles so 24 x 4 = 96 square cm.
The area of the square base = 6 x 6 = 36 square cm.
Total area = 96 + 36 = 132 square cm.
Solve the equation using the method of factorisation-
x2 - 4x - 45 = 0
x² + 4x -9= (x + a)^2 + b
Find the value of a and the value of b.
Answer:
X = 9,X= -5, a = 2, b = -13
Step-by-step explanation:
For (1),
Using Cross-factorization,
it can be reduced to (X - 9)(X + 5) = 0
Equate each factor to 0:
we have X = 9 and X = -5
For (2),
It is the case of completing the Square,
add 4 so we get the completed square ( we want the form X^2 + 2a + a^2)
(X^2 + 4X + 4) - 9
can be simplified to (X+2)^2 -9
However since we added 4 it means we have to subtract 4
So it becomes (X+2)^2 -9 -4
= (X+2)^2 -13
Here's a challenge.... solve for this
I'm very bad in geometry. Sorry mom I failed geometry .
Write an expression that is equivalent to -0.5(14a-22)
-0.5(14a-22) = _?_a+_?_
Answer:
- 7a + 11Step-by-step explanation:
-0.5(14a - 22) = -0.5(14a) + (-0.5)(-22) = - 7a + 11The blanks are -7 and 11
Answer:
-7 and 11
Step-by-step explanation:
You are sending a package in the mail. The box is a cube
measuring 14 inches on all sides. How many cubic inches
is the package?
Answer: 2744
:)
Hope it’s right
The volume of a cube with a side length of 14 inches is 2744 cubic inches.
Side of the cube = 14 inches
What is the volume of a cube?The volume of a cube with side length a is a³.
So, the volume of a cube with a side length of 14=14³
The volume of a cube with a side length of 14=2744 cubic inches.
Hence, the volume of a cube with a side length of 14 inches is 2744 cubic inches.
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Find y if the line through (5, 2) and (7, y) has a slope of 4.
Y=___
Solve for a: a + 6 - 2 x 6 + 4 – 8 + 3 x 2 = 0
Step-by-step explanation:
[tex]a + 6 - 12 + 4 - 8 + 6 = 0 \\ a - 4 = 0 \\ a = 4[/tex]
The local park has a circular pond with a radius of 9 feet. What is the pond's circumference?
Answer:
Using 3.14 as pi, the answer would be 56.52, and using just pi (as in the input on a calculator) would be 56.54867.
Step-by-step explanation:
The equation for circumference of a circle is C = πd, C representing the circumference and d representing the diameter. Since the equation shows the radius, the equation can also be C = 2πr, since the radius is half of the diameter. Multiply nine by two to get eighteen. 18 times 3.14 = 56.52.
One year, the population of a city was 330,000. Several years later
it was 270,600. Find the percent decrease.
Answer:
18% Decrease.
Step-by-step explanation:
You can use this formula for % decrease questions. :)
Decrease= Starting value (original) - Final Value (the smaller number) / starting value x 100.
Hope this helps,
Azumayay
pls help mee help help help help
jane saved $20 from her $60 allowance. june saved $15 from her $50 allowance. who saved a greater proportion of her allowance
Answer:
Jane
Step-by-step explanation:
Jane saved 33.333%
While
june saved 30%
2 × 3² - 5² = ???????????????????????????????????????????????????????????????????????????????
Answer:
I think its -7
Step-by-step explanation:
djjdjejjd
Answer:
-7 is your answer
Step-by-step explanation:
2 × 3² - 5²=18-25=-7
Find the mean of the
data set:
14, 19, 13, 22,7
Answer:
Add up all the numbers and divide it by how many numbers there are.
14+19+13+22+7=75
75÷5 =15
The graph of the function y=f(x)+35 can be obtained from the graph of y=f(x) by one of the following actions:
For every 9 pages I read I took 1.5 pages of notes, if I read 28 pages, how many pages of notes will I have taken?
Answer:
168 pages of notes
Step-by-step explanation:
9 divided by 1.5= 6
so 28x6= 168
Molly emailed her clients offering a free 30-minute massage for referrals. In the following validation set of 100, class 1 reflects the clients predicted to provide referrals and class 0 reflects the clients predicted to not provide referrals. Based on the confusion matrix, what was the False Negative (FN) of current clients who provided referrals for a free message?Actual Class Predicted Class 1 Predicted Class 0Class 1 18 11Class 0 11 60a. 29b. 18c. 11d. 60
Answer:
b 18
Step-by-step explanation:
From the given data: the right table arrangement is:
[tex]Actual \ Class[/tex] [tex]\text{ Predicted Class 1}[/tex] [tex]\text{Predicted Class 0}[/tex]
[tex]Class \ 1[/tex] 18 11
[tex]Class \ 0[/tex] 11 60
The True Positive is the number of current customers who were predicted to give references to a free back rub and who actually gave references to a free back rub.
This number is given by the section in the segment relating to Predicted Class 1 and the line comparing to A[tex]Class \ 1[/tex]tual Class 1 which is 18.
Mr. Tough can grade the final exams in 12 hours. His assistant, Ms. Nice, can grade the same exams in 15 hours. What fraction of the exams can Mr. Tough grade in 1 hour, without any help? This is impossible. Please help me. I spent sooo loong on this and got it wrong. I don't have many points. Sorry about the 20 points. IT IS VERY URGENT!!!!!!!!!!!!!!!!!
Answer:
1/12
Step-by-step explanation:
if Mr.Tough can grade 1 in 12 hours he can do 1/12
The fraction of the exams that Mr Tough and Mrs Nice grade in 1 hour if they work together is 3/20
What are fractions?A fraction is used to denote a portion or component of a whole. Numerator and denominator are the two components that make up a fraction. There are three types of fractions: proper, incorrect, and mixed.
Using, rate × time = work done
So, Mr Tough's rate:
Mr Tough's rate × 12 hours = final exam
Mr Tough's rate = 1/12
and, Mrs. Nice's' rate:
Mrs .Nice's' rate × 15 hours = final exam
Mrs .Nice's' rate = 1/15
So, Total time:
T(1/12 hours + 1/15 hours) = final exam
T = final exam / (1/12 + 1/15)
T = final exam / (0.15)
Now, 1 hour = final exam / (0.15)
final exam = 1 × 0.15
= 0.15
= 15/ 100
= 3/20
Therefore, 3/20 fraction of the final exam.
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Information collected from runner 3# is in the table below
The constant proportionality for runner 3 is..?
Answer:
the constant of proportionality would be 9
A box contains 2 3/4
pounds of apples. Sage uses 1/5
of the box of apples.
How many pounds of apples does Sage use?
Answer:
.55 or 11/20
Step-by-step explanation:
multiply 2 3/4 by 1/5 to get the pounds of apples Sage uses.
Sage uses 11/20 of a pound of apples or approximately 0.55 pounds of apples.
What is a mixed expression?A fraction with a mixed expression, also known as a complex fraction, has a fraction in either the numerator, the denominator, or both.
The box contains 2³/₄ pounds of apples, which can be written as a mixed number or an improper fraction:
2³/₄ = (2 × 4 + 3)/4 = 11/4
To find out how many pounds of apples Sage uses, we need to multiply the amount in the box by the fraction that represents the proportion of the box that Sage uses, which is 1/5:
(1/5) × (11/4) = (1 × 11)/(5 × 4) = 11/20
Therefore, Sage uses 11/20 of a pound of apples or approximately 0.55 pounds of apples.
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May I please get help on this
Do not click on his link it is a virus
Baka borrows $3,000 to buy a piano. The simple
interest owed at the end of 2 years is $540. what is the annual interest rate on Bakas loan for the piano?
a. 4.5%
b. 9%
c. 11.11%
d. 18%
please answer asap!
The required interest rate on the Bakas loan for the piano is 9%.
Given that,
Baka borrows $3,000 to buy a piano. The simple interest owed at the end of 2 years is $540. what is the annual interest rate on Baka loan for the piano is to be determined.
When some apply for their money on something so that they can get higher value in returns of their money.
Here,
Simple interest = principal × rate × time / 100
Substitute value in the above equation,
540 = 3000 × rate × 2 / 100
Rate = 540 × 100 / 3000 × 2
Rate = 9%.
Thus, the required interest rate on the Bakas loan for the piano is 9%.
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Ten years ago, the average amount of time a family spent eating supper together was 27.8 minutes. A sociologist believes this average has decreased. She randomly selects a sample of 12 families and finds the sample average to be 24.307 minutes. The sample data look about bell-shaped. She calculated a test statistic of t
Write the expanded form in the condensed form.
9z+9z
Answer:
nine z plus nine z.
lol tell me.if.its wrong
Which is the quotient of 15 divided 4? 4/15, 2 2/3, 3 3/4, 4 4/15
Answer:
its 3 3/4 or in decimal form 3.75
Step-by-step explanation:
15 divided by 4 gives you that answer
Help! for brainiest and thanks! + 5 stars VOLUME
please respond with the solution and reasoning if possible!
Answer:
the volume of the rectangular prism is 448.5 in^3
Step-by-step explanation:
The computation of the volume of the rectangular prism is shown below:
As we know that
The volume of the rectangular prism is
= 7.8 × 11.5 × 5
= 448.5 in^3
It is basically multiplied with the height, width and the length
Hence, the volume of the rectangular prism is 448.5 in^3
Two investments totaling $37,500 produce an annual income of $2210. One investment yields 6% per year, while the other yields 5% per year. How much is invested at each rate?
Answer:
a = $33,500 at 6%
b = $4,000 at 5%
Detailed Answer:
37,500 = a + b
b = 37,500 - a
a = 37,500 - b
2,210 = a*6% + b*5%
2,210 = a*6% + 5%*(37,500 - a)
2,210 = a*6% - a*5% + 37,500*5%
2,210 = a*(6% - 5%) + 1,875
335 = a*( 6/100 - 5/100)
335 = a*( 1/100)
a = (335*100)/1
a = $33,500
b = 37500 - a
b = 37500 - 33500
b = 4000
Plug back in to check if the amounts invested at each rate equal $2210:
$2210 = a*6% + b*5%
$2210 = 33500*6% + 4000*5%
$2210 = $2010 + $200
$2210 = $2210
Can someone help me? I’ll reward points + brainalist
Answer: Question 10 is c
Question 11 is c
Step-by-step explanation: Area of a circle is πr^2 so we know what the radius r is, it is 9.5 so we plug it in π(9.5)^2
Question 11 To get the radius from the diameter we need to know the half of the diameter which is 21=r
So we plug in 2πr is the equation for the circumference 2π(21) which then would be c
Help me please (NO LINKS )
Answer:
Hey! Finally found a question of yours!
Step-by-step explanation:
1. A=9
2. A=12
3. A=21
4. A=15
5. A=7
6. A=5
7. A=20.8
8. A=48
9. A=0.25
Caroline is making cookies for a large fundraiser taking place in two days. Her recipe says it
makes 24 cookies, but she needs to make 60 cookies. The recipe consists of the following
ingredients: 1 cup flour; 2/3 cup powdered sugar; 1/2 cup cornstarch; and 3/4 cup butter. How
should she go about increasing the recipe to make 60 cookies? What is the measurements
needed to make 60 cookies?
Step-by-step explanation:
you need to double the recipe and add 1/2, because doubling gets you 48 and adding 1/2 gets you to 60 cookies.
rather than the given recipe, multiply the numbers by 2.5 (double and a half): 2.5c flour
1 2/3 c powdered sugar
1 1/2 c cornstarch
1 7/8 c butter
hope this helps!
QUICK I NEED THIS ANSWER QUICKLY
Can someone give me the answers I will mark u brilliant
Answer: 4+x=11
Step-by-step explanation:
4+7=11
Answer:
b
Step-by-step explanation: