Answer:
32
Step-by-step explanation:
You have to use pythagorean theorem for this, where a and b represent the 2 sides while c represents the hypoteneuse.
a²+b²=c²
If the diagonal of a square is 8, it divides the square into 2 triangles, both with a hypoteneuse of 8. Since it is a square, that means the other 2 sides will have equal lengths. So input 8 into the equation:
a²+b²=8²
a²+b²=64
Then you can change a and b into the same variable, since you know they will be equal due to you working with a square.
a²+a²=64
simplify: 2a²=64
divide both sides by 2: a²= 32
square root both sides: a = [tex]\sqrt{32}[/tex]
then you know the length of each side is [tex]\sqrt{32}[/tex]
to find the area of a square, you must multiply both sides by each other, so do [tex]\sqrt{32}[/tex]*[tex]\sqrt{32}[/tex], which will give you 32 since you are essentially doing this:
[tex](\sqrt{32})^2[/tex] in which the square and square root cancel out.
Emilio earns $15 per hour at one job and $18 per hour at a second job. He works for 3 hours at the first job and 90 minutes at the second. What is his average hourly pay rate?
Ms. Day went shopping last week and spent a total of $120. Blankets cost her $16 while pillows cost her $10. Altogether, she bought 9 items. How many of each item did Ms. Day end up buying?
Answer:
Ms. Day bought 5 blankets and 4 pillows.
Step-by-step explanation:
Let [tex]x[/tex] denotes number of blankets and [tex]y[/tex] denotes number of pillows.
Blankets cost her $16 while pillows cost her $10 and Ms. Day spent a total of $120.
[tex]16x+10y=120[/tex]
Divide this equation by 2.
[tex]8x+5y=60\,\,...(i)[/tex]
Ms. Day bought 9 items.
[tex]x+y=9[/tex]
Multiply this equation by 5.
[tex]5x+5y=45\,\,...(ii)[/tex]
Subtract [tex](ii)[/tex] from [tex](i)[/tex]
[tex]3x=15\\x=5[/tex]
Put [tex]x=5[/tex] in [tex]x+y=9[/tex]
[tex]5+y=9\\y=9-5\\y=4[/tex]
Therefore,
Ms. Day bought 5 blankets and 4 pillows.
In the number 8246315 what digit is in the hundreds place?
Answer:
the digit 3 is in the hundredths place
Step-by-step explanation:
8,246,315
the 3
Answer:
3
Step-by-step explanation:
how many solution's does each graph of system of linear equations have?
what is2/3b - 1/4b? Please help- also has to be simplified
Answer:5/12b
Step-by-step explanation:
Answer:
5/12b
Step-by-step explanation:
2/3= 8/12
1/4= 3/12
8/12-3/12= 5/12 then put the b at the end,
5/12b
5/12 is already in simplest form
in the pond were 240 little fish and 90 big fish. what was the ratio of big fish to little fish
Answer:
266.66666667%
Step-by-step explanation:
240 / 90 = 266.666666666667%
help me, please.....
Answer:
50 minutes left.
Step-by-step explanation:
The easiest way to do this is to convert all the fractions into minutes
So, she would've spent 1 hour and 30 minutes on her homework and 40 minutes on her telephone. If you add those amounts up, you get 2 hours and 10 minutes. Since she goes to bed 3 hours after dinner, and 2 hours and 10 minutes have gone by, you do 3 hours - 2 hours 10 minutes and you get 50 minutes.
Hope that makes sense. Let me know if you have any questions.
Y=x^4-4x^3.FInd the value of u when x=-1
2) Add the following:
4a2 + b2 – 3ab, 3a2 – 7b2 + 8ab and a2 – b2 + 2ab
Answer:
8a2-8b2+7ab
Step-by-step explanation:
Putting together all of the a2 gets you to 8a2
Putting together all of the b2 gets you to -8b2
Putting together all of the ab gets you to 7ab
How do you find 15% of 160?
Select three expressions that are equivalent to 12y + 18 by factoring,
6(2 + 3y)
2(6 + 9)
209 + 6y)
6(3 + 2y)
3(4y + 6)
Answer:
3(4y + 6)
6(3 + 2y)
2(9+6y)
Step-by-step explanation:
When factored, all of them are equivalent to 12y + 18.
Answer:
6(2 + 3y), 6(3 + 2y), and 3(4y + 6)
Step-by-step explanation:
6(2 + 3y)= 18y+12
2(6 + 9)=30
209 + 6y)= can't factor
6(3 + 2y)= 12y+18
3(4y + 6)=12y+18
hope this helps :)
Find the missing length.
8
3
с
C =
= ✓ [?]
Pythagorean Theorem: a2 + b2 = 2
Answer:
✓73 or approximately 8.54
Step-by-step explanation:
✓ 8²+3² = ✓ 73 or approximately 8.54
True or False: Tamika is having 5 friends over for a birthday party. Each serving of ice cream is of a cup. She would like to double that amount for each serving and have enough ice cream for her and her friends. 4 cups is enough
Answer:
TRUE
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
False
If you have her and 5 friends that is 6 people.
And her doubled serving is 2 cups.
Enough ice cream would be 12 cups
(6 x 2 = 12)
She only has 4 which is not enough ice cream for everyone given these servings.
I hope this helps.
If you have any questions or concerns please comment or message me. :)
IMPORTANT!! in a unit circle, what is the relationship between arc length and central angle?
The measure of an arc refers to the arc length divided by the radius of the circle. The arc measure equals the corresponding central angle measure, in radians. That's why radians are natural: a central angle of one radian will span an arc exactly one radius long.
Which table and graph represent the equation y = 3X?
—————————
a.table B and graph A
b.table B and Graph B
c.table A and graph B
d.table A and graph A
Answer:
d. table A and graph A
Step-by-step explanation:
y=3x
y = 3X is represented by graph B .
y = 3X is represented by table A .
Hence option C is correct .
Given, Equation : y = 3X
Now, to get the values of y substitute x.
Firstly table A:
y = 3X
x = 1 : y = 3
x = 2 : y = 6
x = 3 : y = 9
Thus table A represents the equation .
Next graph B :
Starting point of graph B is origin.
Coordinates of origin : (0,0)
Equation of graph B : y = 3X
Thus graph B represents the equation .
Therefore option C is correct .
Know more about equations,
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Simplify the expression.
4(5x + 2) + 7x + 6 =
12x + 8
27x + 14
27x + 8
27 + 14x
Answer: =27x+14
Step-by-step explanation: hope this help :)
Let's simplify step-by-step.
4(5x+2)+7x+6
Distribute:
=(4)(5x)+(4)(2)+7x+6
=20x+8+7x+6
Combine Like Terms:
=20x+8+7x+6
=(20x+7x)+(8+6)
=27x+14
Answer:
=27x+14
Expand: logh(9jk) Log Subscript h Baseline 9 times log Subscript h Baseline j times log Subscript h Baseline k Log Subscript h Baseline 9 + log Subscript h Baseline j + log Subscript h Baseline k Log 9 + log j + log k
Answer:
log h 9 + log h j +log h k
Step-by-step explanation:
i got it right on edg
Answer:
it is B for all u speed run edge people
Step-by-step explanation:
big luck in life
Determine the geometric mean of 11 and 8.
Answer:
[tex]\sqrt{88}[/tex]
Step-by-step explanation:
The geometric mean of 11 and 8 is equal to [tex]\sqrt{88}[/tex].
According to the question it is clear that we have to calculate the geometric mean of two positive numbers 11 and 8.
The geometric mean of two positive numbers a and c is the positive number b in such a way that it satisfies the condition
[tex]\frac{a}{b}=\frac{b}{c}[/tex]
The geometric mean of a and b is √ab if a and b are both positive numbers and it will be −√ab if a and b are negative numbers.
The geometric mean is the positive square root of the product of two numbers.
For a square the geometric mean of two numbers a and b, is the length of one side of a square whose area is equal to the area of a rectangle with the sides of a and b lengths.
If we talk about the n numbers then the geometric mean is the nth root of the product of n numbers. If n positive values are given then the geometric mean is the nth positive root of the product of that n numbers.
So, the geometric mean is equal to [tex]\sqrt{a.b}[/tex]
Here, a = 11 and b = 8
The geometric mean of this is equal to = [tex]\sqrt{11.8}[/tex] = [tex]\sqrt{88}[/tex]
Learn more about geometric mean at:
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Find the highest common factor of 35 and 8C.
Answer:
Factors of 35 = 1, 5, 7 and 35
Factors of 8= 1, 2, 4, 8.
common = 1
Solve the equation y – 5x = –7 for y.
A. y = 5x – 7
B. y = –5x – 7
C. y = 5x + 7
D. y = –5x + 7
Answer:
the answer is B
Step-by-step explanation:
Answer: A. y = 5x -7
Step-by-step explanation:
Y - 5x = -7
+ 5x + 5x
Y = 5x - 7
**you can’t subtract -5x to -5x because it’s already a negative. It should be a positive 5x so you can move it to the other side.
86, 82, 78, 74 , what is the 40th sequence
Answer:
The numbers slowly decrease by 4 so we can determine that the 40th sequence is -70.
Step-by-step explanation:
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Option C it is sure
,
A
trust me looooooooooll
Shota tried to subtract two polynomials. His work is shown below: \begin{aligned} &\phantom{=}(12a^2+3ab+4b^2)-(7a^2-5ab+b^2) \\\\ &=12a^2+3ab+4b^2-7a^2+5ab-b^2&\text{Step }1 \\\\ &=(12+3)a^3+(3+4)b^3+(-7+5)a^3+(5-1)b^3&\text{Step }2 \\\\ &=15a^3+7b^3-2a^3+4b^3&\text{Step }3 \end{aligned} =(12a 2 +3ab+4b 2 )−(7a 2 −5ab+b 2 ) =12a 2 +3ab+4b 2 −7a 2 +5ab−b 2 =(12+3)a 3 +(3+4)b 3 +(−7+5)a 3 +(5−1)b 3 =15a 3 +7b 3 −2a 3 +4b 3 Step 1 Step 2 Step 3
Answer:
what-
in the world
Step-by-step explanation:
what is 21+7+4×8 gemdas rule
Answer:
60
Step-by-step explanation:
21+7+4x8=
21+7+32=
60
Angle A and angle B are supplementary angles. If the measure of angle A = (3x - 12) and the measure of angle B = (4x - 25), find the measure of angle B.
Answer:
what is x so I can help you.
PLZZ HELP ME IM DOING A TEST RNNNN.
Answer:
5(x)+5(y)=10
10(x)+2(y)=12
Step-by-step explanation:
i just got done with that same thing
Please please help asap!!! I will mark brainliest!!!
Answer:
The other angle is 63 if it is asking what I think it is asking
Step-by-step explanation:
If it is right can you mark brainliest
Answer:
63 or 72
Step-by-step explanation:
What is the distance between (7,-3) and (4, -5)
Answer:
(3,2)
Step-by-step explanation:
Two cars are 50 miles apart and driving towards each other. One car is driving at a speed of 30 miles per hour and the other car is driving at a speed of 45 miles per hour. How long does it take for the cars to pass each other
Answer:
40 minutes
Step-by-step explanation:
30x+45x=50
75x=50
x=.6667 hours or 40 minutes
check:
30 mph for 40 minutes=20 miles
45 mph for 40 minutes=30 miles
total=50 miles
Solve. Then, rewrite the complete number sentence in decimal form
Step-by-step explanation:
a)
6.9+1.1= 8
b)
9.9+2.45=12.35
[tex]12 \frac{35}{100} [/tex]
c)
2.4+8.9=11.3
[tex]11 \frac{3}{10} [/tex]
d)
6.37+7.7=14.07
[tex]14 \frac{7}{100} [/tex]