Answer:
a. the ratio of the sides is 6: 8, or 3:4
b. the ratio of the surfaces is [tex]\frac{6\times 6}{8\times8}[/tex] or 9:16, the square of the ratio of the sides.
c. the ratio of the volumes is [tex]\frac{6\times6\times6}{8\times8\times8}[/tex] or 27:64, the cube of the ratio of the sides.
Evaluate the following by writing it as a difference of two squares first:
103^2 − 97^2
Answer:
1200
Step-by-step explanation:
A difference of 2 squares factors in general as
a² - b² = (a - b)(a + b) , then
103² - 97²
= (103 - 97)(103 + 97)
= 6 × 200
= 1200
The correct answer is 1200.
What is the difference between two squares called?Where one perfect square is subtracted from another, is called a difference of two squares. It arises when (a − b) and (a + b) are multiplied together. This is one example of what is called a special product.
A difference of 2 squares factors in general is written as
a² - b² = (a - b)(a + b) , then
103² - 97²
= (103 - 97)(103 + 97)
= 6 × 200
= 1200
Learn more about the difference of 2 squares here https://brainly.com/question/3189867
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Solve for u, z, y, or t.
Doubt --!!
Where is your question!??????
Two side of a triangle are 26 and 27, while the height to the third side is 25. Find the area of the triangle.
Based on the information given, the area of the triangle is 291.85.
From the information given,
A = 26
A = 26B = 27
A = 26B = 27C = 25
Firstly, we'll add the sides given and divide them by 2. This will be:
S = (26 + 27 + 25) / 2
S = 78/2
S = 39
Then we will use the formula:
= s(s - a)(s - b)(s - c)
= 39(39 - 26)(39 - 27)(39 - 25)
= 39(13 × 12 × 14)
= 85176
Lastly, we'll find the square root of the value gotten. This will be:
= ✓85176
= 291.85.
Therefore, the area is 291.85.
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Need help really quick look at the picture thank you soooooooo,, muchh
Answer:
The answer would be -7/12
Step-by-step explanation:
Use math.way itll help you tremendously :)
someone pls help me with this test i was in quorintine and missed a lot and the teacher is still making me take it.
i can only put 5 questions here out of 12
The expression 12 + 4x - 2x + 8 simplifies to what?
Answer:
2x + 20
Step-by-step explanation:
[tex]12 + 4x -2x + 8\\\rule{150}{0.5}\\4x - 2x + 12 + 8\\\\\\\rightarrow\text{4x and -2x are like terms. 12 and 8 are also like terms.}\\\\\\\boxed{2x + 20}[/tex]
Hope this helps.
which expression means the same as subtract from 7 and then multipy by 4
Answer:7-3x4 subtract 3 from 7 means you need to take 3 out of 7 (7-3) then you need to multiply that by 4! Hope this helped!
Step-by-step explanation:
Answer:
[7-3]4 or [7-3]x4 your welcome hope it helps!
Step-by-step explanation:
y = x - 15 when x is 2.65
Answer:
y = -12.35
Step-by-step explanation:
Plug in 2.65 for x giving you y = 2.65 - 15
Find the perimeter. Simplify your answer.
Answer:
i like you become my friend girl friend i am boy
Which of the following correctly shows the next two terms after -40 in the pattern?
−10, 20, −40
A: -2.5, 5
B: 80, -160
C: 80, 160
D: 60, -80
Answer:
B
Step-by-step explanation:
the pattern is clearly :
the absolute value of the next term is twice the absolute value of the previous term. and the sign flips with every new term.
so, after -40 comes then 80, then -160, then 320, then -640, ...
Answer Asap!
<3 <3 <3
Thx
Answer:
d or b
Step-by-step explanation:
look at where the c and a are and the numbers alighn
Mr.smith has 28 children in his class. If he wants to give each child 2 sweets how many sweets dose he need to buy?
find the sum of the first 7 terms of the geometric sequence : 3,9,27,81,...
(with solution)
PA HELP POOO THANKSSSS
Answer:
3279
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(r^n-1)}{r-1}[/tex]
where a is the first term and r the common ratio
Here a = 2 and r = a₂ ÷ a₁ = 9 ÷ 3 = 3 , then
S₇ = [tex]\frac{3(3^7-1)}{3-1}[/tex] = [tex]\frac{3(2187-1)}{2}[/tex] = 1.5 × 2186 = 3279
please tell me what is -9d×2-d×2
Answer:
I believe it's (2d - 1) • (d + 2)
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 2 • -2 = -4
Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is 3 .
-4 + 1 = -3
-2 + 2 = 0
-1 + 4 = 3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -1 and 4
2d2 - 1d + 4d - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
d • (2d-1)
Add up the last 2 terms, pulling out common factors :
2 • (2d-1)
Step-5 : Add up the four terms of step 4 :
(d+2) • (2d-1)
Which is the desired factorization
Answer - (2d - 1) • (d + 2)
Answer:
-20dStep-by-step explanation:
please tell me what is -9d×2-d×2
-9d×2-d×2
-18d -2d
-20d
100 points if you get this
Answer:
....
Step-by-step explanation:
Answer:
I AGREE
Step-by-step explanation:
please answer this for me!!
Answer:
x = 40
y = 8
Step-by-step explanation:
3x-9 = 2x+31
3x-2x = 31+9
x = 40
4y+5 = 2y+21
4y-2y = 21-5
2y=16
y=8
În figura alăturată, este un pătrat cu = 12 cm, punctul este mijlocul lui (), ∩ = {}, iar
∩ = {}
Answer:
yes
Step-by-step explanation:
Find the cost per roll if a bag of five lunch rolls is $2.50.
From a box of 120 mangoes, Brent sold 60%. How many mangoes were left?
Given:-
From a box of 120 mangoes, Brent sold 60%.To Find :-
How many mangoes are left .Solution :-
According to the question, box has 120 mangoes . The number of mangoes he sold will be ,
[tex]\longrightarrow[/tex] n(sold) = 60% of 120
[tex]\longrightarrow[/tex] n(sold) = 60/100 × 120
[tex]\longrightarrow[/tex] n(sold) = 3/5 × 120
[tex]\longrightarrow[/tex] n(sold) = 72
Hence the number of mangoes left will be ,
[tex]\longrightarrow[/tex] n(left) = 120 - 72
[tex]\longrightarrow[/tex] n(left) = 48
Hence the number of mangoes left is 48.
If I type 800 words in 16 minutes,
how many words do I type per minute
Answer:
50 per minute
Step-by-step explanation:
Answer:
The answer is 50 words per minute
Step-by-step explanation:
16x50=800
800/16=50
HOPE THIS HELPS!!
Becky invests some money that she anticipates will average an annual return of 7%. About how many years will it take Becky’s money to double at this rate? Show your work using function notation.
The number of years it would take Becky to double the amount invested is 10 years.
The rule of 70 is a rule of thumb that is used to know the number of years it would take an investment to double at the interest rate. The formula entails dividing 70 by the interest rate.
Rule of 70 = 70 / interest rate
70 / 7 = 10 years
To learn more, please check: brainly.com/question/2262294
Answer:
About 14.3 yearsStep-by-step explanation:
The function for this case would be:
f(x) = 7x, where f(x) is the average return of %, x - is the number of yearsIf we need the money to double, the return rate should be 100%:
7x = 100x = 100/7x = 14.3 yearsThe ratio of children to adults at a swimming pool is 8:3. If there are a total of 110 people at the pool, how many of them are adults?
There are 30 adults in the swimming pool.
The ratio is a quantitative approach that shows the relation between two proportions.
From the given relation, the ratio of of the children to adults = 8 : 3
The total number of the ratio = 8 + 3 = 11
Given that there are 110 people in the population.
The number of adults that are there will be:
[tex]\mathbf{=\dfrac{3}{11}\times 110}[/tex]
= 30 adults
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The Beta Club is having a bake sale to raise
money for their field trip. They need to make
at least $450 dollars. They go to the store and
spend $85 on supplies.
How many
treats do they
need to sell at $0.65
each to make up the cost
of supplies and make a
profit of at least $450?
Answer:
693
Step-by-step explanation:
450 + 85= 535 then you divide 535 by .65 = 823.08 ~ 824 then divide 85 by .65= ~131 then subtract 131 from 824=693 treats in order to make a profit of ~450.00
Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles by SSS or SAS, write "not enough information". Explain your answer
Answer:
not enough information
Step-by-step explanation:
Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles by SSS or SAS, write "not enough information". Explain your answer
How to divide imaginary numbers.
Step-by-step explanation:
I hope she is your correct answer
Write the subtraction expression as an equivalent addition expression and then evaluate it.
22−37
Answer:
-15
Step-by-step explanation:
22+(-37)
3 feet in 4 minutes
A._______________
B._______________ per 16 minutes
Answer:
B. 12 per 16 minutes
Step-by-step explanation:
4×4=16, so multiply 3x4to get 12
he length of a rectangle is increasing at a rate of 7cm/s7cm/s and its width is increasing at a rate of 2cm/s2cm/s. When the length is 30cm30cm and the width is 20cm,20cm, how fast is the area of the rectangle increasing
Answer:
20
Step-by-step explanation:
Use the model to find the missing number in the pair of equivalent expressions.
15 + 9 = ?(5 + 3)
What number is missing from the expression?
Answer:
3
Reasoning:
[tex]3(5+3)=15+9[/tex]
Distribute three to the numbers to get 15+9.
HELPPPP ME PWEASEEEEE
2y - 3 = 4y + 6
Subtract 6 from both sides
2y -9 = 4y
Subtract 2y from both sides
-9 = 2y
Divide both sides by 2
Y = -9/2 or -4.5 as a decimal