Answer:
x=6
Step-by-step explanation:
Because of the Pythagorean theorem, you know that the square of the two legs of a right triangle will be equal to the square of the hypotenuse. Conversely, the square of one of the legs will be equal to the square of the other leg subtracted from the square of the hypotenuse. Therefore:
[tex]x^2=10^2-8^2 \\\\x^2=100-64\\\\x^2=36\\\\x=6[/tex]
Hope this helps!
Answer:
6
Step-by-step explanation:
By Pythagoras theorem
10^2 = 8^2 + x^2
100= 64 + x^2
X^2 =100-64
X^2= 36
[tex]x = \sqrt{36} \\ x = 6[/tex]
Hope this helps..
*EASY GRADE 7 MATH*
BEST ANSWER WITH EXPLANATION WILL BE MARKED BRAINLIEST!
Evelyn wants to cover the top of a circular table with a price of cork board to protect it from spills. How much cork board will Evelyn need to completely cover the table if the diameter of the table is 48 inches?
Select ALL that apply. (possible answers on image)
Answer:
576π in² and 1,809 in².
Step-by-step explanation:
To find the answer, the formula for the area of a circle, or A = πr², will need to be used.
In this question, we are only given the diameter. Simply divide by 2 to calculate the radius:
48/2 = 24 inches.
Now, plugging this into the equation for the Area of a Circle, gets us:
A = π24²
A = 576π or 1808.64 in².
Looking at the answer choices, we can choose 576π in² and 1,809 in² (as 1808.64 ≈1809)
Multiply.Write your anwser in simplest form. 7/12 x 3/4
Answer:
Multiplying the numerators and denominators, we get 21 / 48 = 7 / 16.
Help por favor!!!!!!!!!
Answer:
15 cm²
Step-by-step explanation:
Area of a triangle = [tex]\frac{1}{2}[/tex] * base * height
Base = 10 cm
Height= 3 cm
Area = [tex]\frac{1}{2}[/tex] * 10cm * 3cm
= 5cm * 3cm
= 15cm²
Help please will give brainliest!
Answer:
C
Step-by-step explanation:
x4(x4-5)+5(x4-5)
=x8-5x4+5x4-25
x8-25
Figure FGHJ was dilated by a scale factor of k centered at point H, as shown. What is the value of k?
Answer:
2
Step-by-step explanation:
just see the slope of FG
from F to G is 5 to the right and 1 goes up.
then, see the F'G' slope
its 10 to the right and 2 goes up
it TWICE
Write in slope-intercept form an equation of the line that passes through the given points.
Answer:
y = x+5
Step-by-step explanation:
First we find the slope
m = (y2-y1)/(x2-x1)
m = (7-3)/(2 - -2)
=(7-3)/(2+2)
= 4/4
= 1
The slope intercept form is
y = mx+b
y = x+b
Substitute a point in
7 = 2+b
Subtract 2 from each side
5 =b
y = x+5
Answer:
y = x + 5
Step-by-step explanation:
m = (y2 - y1) / (x2 - x1)
= (7 - 3) / (2 - (-2))
= 4/4
= 1
Since y = mx + b and m = 1,
y = (1) * x + b
y = x + b
7 = 2 + b
b = 5
Putting b = 5 in y = x + b, we get:
y = x + 5
Hope this helps!
Is the relationship between the number of months and the total amount paid proportional for both Hank's and Lynn's loans? Use the drop-down menus to explain your answer.
Answer:
The relationship between the number of months and the total amount paid is proportional for both Hank's and Lynn's loans.
Step-by-step explanation:
Hank and Lynn are both paying off car loans
Hank paid $2,000 upfront when he bought his car, and he pays $200 each month.
Therefore, the total amount paid (C(h)) after x months by given by
C(h) = 2000 + 200x ......... (1)
So, this relation is proportional but not directly proportional.
Lynn did not pay any money upfront when she bought her car, and she pays $275 each month.
Therefore, the total amount paid (C(l)) after x months by given by
C(l) = 275x ......... (2)
So, this is a directly proportional relation which is also proportional.
hope it helps mark me as brainliest.
Volume of a triangular prism 4 cm 9 cm and 5 cm
Answer:
180 cm³
Step-by-step explanation:
Volume = base area x height
4x9x5
Answer:
180 cm^3
Step-by-step explanation:
Vol = base time height times length
4 times 9 times 5 = 180
Candida has a ballet recital in one week. She is planning on practicing for 30 minutes each day until the recital. How much time will she practice between now and her ballet recital? A. 2 hours B. 3 hours and 30 minutes C. 4 hours and 30 minutes D. 5 hours
Answer:
B. 3 hours 30 minutes
Step-by-step explanation:
1 week=7 days
30 minutes each day for 7 days
=30 minutes×7 days
=210 minutes
60 minutes makes 1 hour
210/60=3 hours 30 minutes
Candida has 3 hours 30 minutes from now till her ballet recital to practice
B. 3 hours 30 minutes
I’ll mark you brainliest!!!! Use the function to find f(-4).
Answer:1/16
Step-by-step explanation:
So I plugged in -4 for x
f(x)=2^-4= 1/16
hope that helps
Please help me answer these two questions:) Find two consecutive numbers with a sum of 143. The combined mass of two children is 75 lbs. The first child is four times the mass of the second child. What are the masses of the two children? Whoever answers and explains i will give the brainliest!
Answer:
Question 1: 71 and 72
Question 2: Child 1: 60 lbs, Child 2: 15 lbs
Step-by-step explanation:
Question 1:
Consecutive numbers are 2 numbers right next to each other.
You know the numbers will have to be double digits number.
71 and 72 are consecutive numbers. The sum of them is 143.
71+72=143
Question 2:
For this problem, we can use system of equations to find the mass of the 2 children. Let's say x is the first child and y is the second child.
Equation 1
x+y=75
This equation comes from the combined mass of the 2 children.
Equation 2
x=4y
This equation comes from the first child being 4 times the mass of the second child.
Since we know the value of x, we can use substitution to find y.
4y+y=75
5y=75
y=15
Now that we know the second child is 15 lbs, we can plug this into any of the 2 equations to find the mass of the first child.
x=4(15)
x=60
help help help help help help
Answer:
21.98
Step-by-step explanation:
C = Dπ
D = 7
7 * 3.14 = 21.98
FAST ANSWER PLEASE THANKS
Answer: D
Step-by-step explanation:
When you are asked what is the domain, you are basically asked what x values work for the function.
Multiply the function to get [tex]xe^x + 6e^x[/tex]
[tex]e^n[/tex], n being any real number, is defined for every value you input for n. So its domain is all real numbers
Its range is also all real numbers because the domain is continous for every single value you plug in
This formula v = u + at, links:
initial velocity (u)
final velocity (v)
acceleration (a)
time (t)
What is the value of v if u = 5, a = 10 and t = 2?
Answer:
[tex]v=u+at[/tex]
[tex]v= 5+(10)\times2\\v=25[/tex]
find the number missing from the following equivalent fractions: 9/15= ?/60
Answer:
36/60
Step-by-step explanation:
Divide the larger denominator with the smaller denominator.
60/15 = 4
Use this number and multiply this to the numerator to get the unknown.
4*9=36
What is the radius of the garden?
Step-by-step explanation:
Area of circle= Πr²
Πr² = 132² m
r²=132²/Π m
=5546.23m
r =√5546.23
=74.473 m
I NEED AN ANWSER ASAP,, PLS AND THANK YOUU When finding a pattern for the sum of two times a number, n, and four less than three times the same number, Cole does the following calculation and decides the pattern is 3n. Show why he is wrong. and write the correct pattern to coles work
n=2
2(2)+3(2)-4=6
Answer: find the answer in the explanation
Step-by-step explanation:
Two times a number, n that is, 2n
and four less than three times the same number, that is, 3n - 4
Cole is wrong for not interpreting the two statement differently into two separate expression.
Finding the sum of the two expression will be
2n + 3n - 4 = 5n - 4
So, if n = 2
Substitute 2 for n in the expression 5n -4
5(2) - 4
10 - 4 = 6
Please help me please
Answer:
SAS similarity theorem
Step-by-step explanation:
Both the triangles are similar by SAS similarity theorem.
What should be done first to simplify 11 – 2 + 7 + 5 – 8 + 13
Answer:
I think the first step is to group all the addition first and then you do the subtraction.
Answer:
Remember PEMDAS; parenthesis, exponents, multiplication, division, addition and subtraction.
Step-by-step explanation:
so ti will be;
2+7+5-8+13
27-8
21
All of the following are equivalent,except.
(12+3)x
(12+3x)x
15x
12x+3x
Answer: (12+3x)x
Explanation: When you distribute the x in the first option you'll get 12x+3x, which you can simplify to 15x (combine like-terms). Having this information, you know that the first one is equivalent to the third one and the fourth option. When you distribute the x in the second you you get (3x^2)+12x. This is not equal to any other option.
Determine the value of
f(2) when
f(x)=x² - 5x+2
Answer:
-4
Step-by-step explanation:
Substitute [tex]x = 2[/tex] in to the function
[tex]f(2) = 2^2 -5(2) + 2[/tex]
= -4
One cubic centimeter of sand weighs 1.9 grams. Find the amount of sand that the sandcastle bucket can hold.
Answer:
2160
see I times them all together then i divided the last two by 3 and got 2160
Step-by-step explanation:
Answer:
Length x width x height = volume
12 x 12 = 144
144 x 13 = 1872
height / 3 x width x length = volume for pyramid
6/3=2
2 x 12 x 12 = 288
1872 + 288 = 2160
2160 x 1.9 = 4104
4104 grams of sand
Hope this helps
Step-by-step explanation:
Perform the indicated operation.
15 - 12
3
-3
-27
27
Answer:
3
Step-by-step explanation:
15-12
This is 12 taken away from 15
00000000 _ 000000
0000000 000000 000
15 marbles -- 12 marbles = 3 marbles
Please help, thank you
Answer:
The sum = 4092
Step-by-step explanation:
The sum is equal to A, in which:
A = 4 x (2^0 + 2^1 + 2^2 + ... + 2^9)
= 4 x [(1 + 2^1 + 2^2 + ... + 2^9)(2 - 1)/(2 - 1)]
= 4 x (2^10 - 1)(2 - 1)
= 4 x (2^10 - 1)
= 4 x 1023
= 4092
Hope this helps!
Answer:
4092
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]
where a is the first term and r the common ratio
4[tex](2)^{n-1}[/tex] ← is the n th term of a geometric sequence
with a = 4 and r = 2
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex] , thus
[tex]S_{10}[/tex] = [tex]\frac{4(2^{10}-1) }{2-1}[/tex] = 4(1024 - 1) = 4 × 1023 = 4092
Find the midpoint of the line segment with end coordinates of: ( − 2 , − 5 ) and ( 3 , − 2 ) Give coordinates as decimals where appropriate.
Answer:
(0.5,-3.5)
Step-by-step explanation:
Find the mean of the respective coordinates
what is 25,00+30,00=
Answer:
5,500
Step-by-step explanation:
2,500 + 3,000:
2000 + 3000 + 500
5000 + 500
5500
Easy!
this question is my thing
Answer:
Below
Step-by-step explanation:
8 is classified as a rational number because it can be made into a fraction. 8.8 = 8 8/10 = 88/1
factorise 6 x ^2 + 17 X + 5
Answer:
( 3x + 1) (2x+5)
Step-by-step explanation:
6 x ^2 + 17 X + 5
We break the 6 into 3 and 2
(3x ) (2x )
We need the middle term to be 17
( 3x + 1) (2x+5)
3*5+2 = 17 so it works
How many two-digit primes have both their digits non-prime?
Answer:
89
Step-by-step explanation:
8 is divisible by 4
And 9 is divisible by 3
3. If A = {2, 4, 6, 8}, B = {1, 3, 5, 7), find A UB.
A U B={ 1,2,3,4,5,6,7,8}
Solution,
A={2,4,6,8}
B={1,3,5,7}
A U B={ 2,4,6,8} U{1,3,5,7}
={1,2,3,4,5,6,7,8}
Hope it helps
Good luck on your assignment