Answer:
Step-by-step explanation:
The area of the given squares are
Area = 64 in
Area = 225 in
Area = 289 in
The length of each side of a square is determined by finding the square root of its area. For the first square, the length of its side is √64 = 8inches. For the second square, the length of its side is √225 = 15inches. For the third square, the length of its side is √289 = 17inches.
For a right angle triangle to be formed, Pythagorean theorem must be obeyed. Sum of the square of the smaller sides must equal the square of the longer side. Therefore,
8² + 15² = 17²
289 = 289
Therefore, the correct statement is
Yes, a right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the largest square
Answer:
B
Step-by-step explanation:
I got this right in edge 2020. Hope this helped! ;)
A sloth is climbing down a tree at a constant speed. The sloths height changes by -55 feet in 11 minutes. Which expression represents change in the sloths height each minute?
-55•(-11)
-55•11
-55 divided by 11
-55 divided by (-11)
Solve.
6x2 + 7x – 20 = 0
Answer:
(3x + 4)(2x - 5)
[tex]6x^{2}+7x-20=0[/tex] = (3x + 4)(2x - 5)
Hope this helped! Have a great day!
this is khan academy and i need it fast thx
Answer:
C
Step-by-step explanation:
The angles are supplementary because all the angles add up to 180 and they form a straight line together.
pls help fast this is khan academy
Answer:
A
Step-by-step explanation:
The two angles given are vertical angles because they are opposite of each other
Hey!!
<a and <b are vertically opposite angles.
Vertically opposite angles are always equal.
Hope it helps..
Good luck on your assignment
Applying the translation (x, y) → (x – 3, y + 7) maps the point (–4, 7) onto the point ________. Question 16 options: A) (–7, 14) B) (14, –7) C) (7, –14) D) (14, 7)
Answer:
A
Step-by-step explanation:
(-4-3, 7+7)
(-7, 14)
Answer: A
Step-by-step explanation:
Does the point (4, 0) satisfy the equation y = –5x + 4?
Answer:
no
Step-by-step explanation:
y = –5x + 4
Substitute the point into the equation
0 = -5(4) +4
0 = -20+4
0 = -16
This is not true so it is not a solution to the equation
What does this mean and can someone give me an example for number 1 ?
Use the distributive property to write the following expression without parentheses.
-3/5(20x-20y)
Answer:
-12x+12y
Step-by-step explanation:
[tex]-\dfrac{3}{5}(20x-20y)=\\\\-\dfrac{3}{5}(20x)+-\dfrac{3}{5}(-20y)=\\\\-12x+12y[/tex]
Hope this helps!
Answer:
[tex]-12x+12y[/tex]
Step-by-step explanation:
We have the following expression:
[tex]-\frac{3}{5} (20x-20y)[/tex]
TO remove the parenthesis, we need to multiply each term within them by each term on the outside of the parenthesis. Then, we can simplify our answer..
[tex](-\frac{3}{5} )(20x)-(-\frac{3}{5} )(20y)\\\\-12x+12y[/tex]
what are the factors of -24x^3y^2z
a) 8
b) -8
c) x^5
d) z^2
Answer:
B
Step-by-step explanation:
there are 18 animals in a pet store some are birds and others are dogs. there are 50 legs in total. how many dogs are there
Answer:
I believe the answer will be 36 for the dog legs.
Step-by-step explanation:
first you get a calculator
then you type in 18 divided by 50
then you hit enter
then the answer will come up as 0.36
Find the rate of change for each linear function
decrease of 22 m/min
Decrease of 22 min/m
Increase of 22 m/min
Decrease of 20 m/mm
Answer:
Answer = decrease of 22 m/min
Sarah is making lemonade where she adds 2 parts lemon juice to 3 parts water.
a. Write the ratio of lemon juice to water as a fraction and in ratio form.
b. Sarah has 1 1/2 cups of lemon juice, write and solve a proportion to find out how much water she needs.
c. Write and solve a proportion to find out how much lemon juice she should add to 9 cups of water.
d. What percent of the lemonade is lemon juice? What percent is water?
e. She makes the lemonade, but her friend complains that it is too weak. Write a ratio of lemon juice to water that may fix the problem
f. Does Sarah need more lemon juice than water to make it stronger?
Answer:
a. 2/5 and 2:3
b.
c. 6
d. 40% and 60%
Step-by-step explanation:
a) The ratio of lemon juice to water as a fraction can be expressed as: 2/3.
b) The amount of water Sarah needs when she has 1¹/₂ cups of lemon juice, is: 2.25 cups
c) The amount of lemon juice Sarah should add to 9 cups of water is: 6 Cups
d) 40% of the lemonade is lemon juice, and 60% is water.
e) She should increase the ratio to 3:2
f) Yes, Sarah would need more lemon juice than water to make the lemonade stronger.
How to solve Ratio Problems?a. The ratio of lemon juice to water as a fraction can be expressed as: 2/3.
b. The amount of water Sarah needs when she has 1¹/₂ cups of lemon juice, is solved as:
1¹/₂ cups of lemon / water = 2/3
³/₂ cups of lemon / water = 2/3
Cross multiply to get:
water = 9/4
water = 2.25 cups
c. The amount of lemon juice Sarah should add to 9 cups of water is as follows:
lemon juice / 9 = 2/3
Cross multiply to get:
lemon juice = 18 / 3
lemon juice = 6 cups
d. The percentage of lemon juice and water in the lemonade if the total volume is 5 cups is:
Lemon juice: (2/5) * 100% = 40%
Water: (3/5) * 100% = 60%
e. What Sarah can do is to increase the ratio of lemon juice to water. One possible ratio could be 3 parts lemon juice to 2 parts water, or 3:2.
f. Yes, Sarah would need more lemon juice than water to make the lemonade stronger.
Read more about Ratio Problems at: https://brainly.com/question/12024093
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The ratio of the measurement of an angle to its supplement is 3:5. Find the measurement of the angle and its supplement.
-7th grade math
Answer:
The measurements of the two angles are 67.5° and 112.5°
Step-by-step explanation:
We can set up the equation just like a normal equation when you are finding x. Once we know what x is, then we can use that number and multiply it to 3 and 5 to find the measurements of the angles.
3x + 5x = 180
Combine like terms.
8x = 180
Divide 180 by 8.
x = 22.5
Now, we plug in x to 3 and 5.
3 * 22.5 = 67.5
5 * 22.5 = 112.5
Just to make sure our work is correct, let's add these numbers together.
67.5 + 112.5 = 180
The measurement of the angle is 67.5 degrees and the measurement of the supplement of the angle is 112.5 degrees.
What is supplementary angle?When the sum of the two angle are equal to the 180 degrees, then these angles are called the supplementary angle of each other.
The ratio of the measurement of an angle to its supplement is 3:5. Let, the ratio,
[tex]\dfrac{3}{5}=x[/tex]
As, these angles are supplementary to each other. Thus,
[tex]3x+5x=180\\8x=180\\\x=\dfrac{180}{8}\\x=22.5[/tex]
Thus, the measurement of the angle is,
[tex]3x=3\times22.5\\3x=67.5[/tex]
The measurement of the supplement of the angle is,
[tex]5x=5\times22.5\\5x=112.5^o[/tex]
Hence, the measurement of the angle is 67.5 degrees and the measurement of the supplement of the angle is 112.5 degrees.
Learn more about the supplementary angle here;
https://brainly.com/question/12919120
What would be the answer? I said 46.
Answer:
84
Step-by-step explanation:
We can represent the money Emily has as x, and the money Juan as j.
x = j + 19
Substituting 65 for j we get
x = 65 + 19
x = 84
Find the following trigonometry values
cos (150*) = ?
sin (150*) = ?
Answer:
see explanation
Step-by-step explanation:
cos150°
= - cos(180 - 150)°
= - cos30°
= - [tex]\frac{\sqrt{3} }{2}[/tex]
-------------------------
sin150°
= sin (180 - 150)°
= sin30°
= [tex]\frac{1}{2}[/tex]
The trigonometric values for cos(150°) and sin(150°) are -√3/2 and 1/2, respectively.
How to find trigonometry values?To find the trigonometric values of cos(150°) and sin(150°), we can use the unit circle and the angle sum formulas.
cos(150°):
We know that cos(180° - θ) = -cos(θ). Therefore, we can rewrite cos(150°) as cos(180° - 30°). Since cos(30°) = √3/2, we have:
cos(150°) = -cos(30°) = -√3/2.
sin(150°):
We know that sin(180° - θ) = sin(θ). Therefore, we can rewrite sin(150°) as sin(180° - 30°). Since sin(30°) = 1/2, we have:
sin(150°) = sin(30°) = 1/2.
Learn more about trigonometric values on:
https://brainly.com/question/15227398
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Will mark brainlyest with 50 points and 4 thank you's
Three children are having a Birthday Party. Can you work out how many candles need to go on each cake?
Read the clues and show your work.
Clue 1: Maya and Josh have 20 candles
Clue 2: Maya and Sam have 13 candles
Clue 3: Sam and Josh have 15 candles
Clue 4: There are 24 candles altogether.
How many candles are on Maya’s cake?
How many candles are on Josh’s cake?
How many candles are on Sam’s cake?
Maya=10
Sam=3
Josh=12
Hope this helps.
: )
Answer:
im still alli
Step-by-step explanation:
For question 25 please pick 1,2,3 or 4
Answer:
4.
[tex]$x=\frac{2}{3} \pm \frac{1}{6}i \sqrt{158}$[/tex]
Step-by-step explanation:
[tex]18x^2-24x+87=0[/tex]
Using Quadratic Formula
[tex]$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$[/tex]
[tex]$x=\frac{-\left(-24\right)\pm \sqrt{\left(-24\right)^2-4\cdot \:18\cdot \:87}}{2\cdot \:18}$[/tex]
Solving the discriminant:
[tex]\Delta = \left(-24\right)^2-4\cdot \:18\cdot \:87\\\Delta = 576-6264\\ \Delta=-5688[/tex]
[tex]$x= \frac{24 \pm \sqrt{-5688} }{36} $[/tex]
[tex]$x= \frac{24 \pm \sqrt{5688i} }{36} $[/tex]
Once [tex]\sqrt{5688} =\sqrt{2^3\cdot \:3^2\cdot \:79}=6\sqrt{158}[/tex]
[tex]$x=\frac{24\pm6\sqrt{158}i}{36}$[/tex]
Dividing the denominator and numerator by 6
[tex]$x=\frac{4\pm \sqrt{158}i}{6}$[/tex]
Now rewrite it:
[tex]$x=\frac{4}{6} \pm i\frac{\sqrt{158}}{6}$[/tex]
[tex]$x=\frac{2}{3} \pm i \frac{\sqrt{158}}{6}$[/tex]
or
[tex]$x=\frac{2}{3} \pm \frac{1}{6}i \sqrt{158}$[/tex]
The diameter of the cylinder is 6 cm.
If the height is triple the radius, what is the volume of the cylinder? Use 3.14 for pi and round to the nearest
hundredth.
Answer:
254.34 cubed centimeters
Step-by-step explanation:
Solve for x and y adding
2x + 4y = 16
-5x-4y = 16
Show work
Answer:
x = -32/3
y =28/3
Step-by-step explanation:
2x + 4y = 16
-5x-4y = 16
Add the equations
2x + 4y = 16
-5x-4y = 16
--------------------
-3x = 32
Divide each side by -3
x = -32/3
Now solve for y
2x+4y = 16
2(-32/3) +4y = 16
-64/3 +4y = 16
Multiply each side by 3 to get rid of the fractions
-64 +3*4y = 16*3
-64 + 12y = 48
Add 64 to each side
12y = 112
Divide by 12
12y/12 = 112/12
y =28/3
x2+3x-4=0. Find a=, b=, and c=. thank you:)
Answer:
a=1 b=3 c=-4
Step-by-step explanation:
using almighty formular
a=1 b=3 c= - 4
A local car dealer has 150 cars on the lot. 30% of the cars are sedans. How many of the cars are NOT sedans?
Answer:
105 cars
Step-by-step explanation:
150cars=100%
and if 30% of the cars are sedans then the cars which are not sedans is
100%-30% =70%
if 150 cars=100%
? cars=70%
if less more devides
70%/100%×150cars
all zeros cancel which would be left with
7× 15
105 cars.
Answer:
The answer is 105
So that 30% of those cars are 45 Sedans of the 150 cars.
Now we need to find out how many cars are in that remaining 70%
In order to do this we need to subtract 45 from 150
So 150 minus 45 is 105
Finally, we know that that remaining 70% is 105 cars that aren't Sedans.
So 105 cars are not Sedans.
what does X equal to ?
Answer: x=7
Step-by-step explanation:since the diagonal line divides the angle into half, and it’s a square, so the angle would be 90 degree /2 = 45 degree.
so 4x+17 = 45, 4x = 28, x = 7
||x-5|+2|<=3
please help
Answer:
x e [-10,-4]
Step-by-step explanation:
||x-5|+2|≤3
|x+5+2|≤3
|x+7|≤3
x+7≤3
x≤-4
x+7≥-3
x≥-10
x e [-10,-4]
Consider the function and its inverse. and When comparing the functions using the equations, which conclusion can be made? The domain of f(x) is restricted to x ≥ 0, and the domain of f–1(x) is restricted to x ≥ 0. The domain of f(x) is restricted to x ≥ 0, and the domain of f–1(x) is restricted to x ≤ 0. The domain of f(x) is restricted to x ≤ 0, and the domain of f–1(x) is restricted to x ≥ 4. The domain of f(x) is restricted to x ≤ 0, and the domain of f–1(x) is restricted to x ≤ 4.
Answer:
It’s actually C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Does (3, 3) make the equation y = x true?
Answer:
yes
Step-by-step explanation:
Substitute the points into the equation
y =x
3=3
This is true so (3,3) is a solution
Which of the following is equivalent to 0.0009?
A 0.0009%
B 0.009%
C 0.09%
D 0.9%
Answer:
C
Step-by-step explanation:
If you multiply by 100 u get C
Answer:
C
Step-by-step explanation:
To turn a number into a percentage, you must multiple it by 100.
Which equation can be used to find the measure of angle LKJ?
cos−1(StartFraction 8.9 Over 10.9 EndFraction) = x
cos−1(StartFraction 10.9 Over 8.9 EndFraction) = x
sin−1(StartFraction 10.9 Over 8.9 EndFraction) = x
sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x
Answer:
fourth option
Step-by-step explanation:
Using the sine ratio in the right triangle.
sin JKL = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{JL}{KJ}[/tex] = [tex]\frac{8.9}{10.9}[/tex] , thus
x = [tex]sin^{-1}[/tex] ([tex]\frac{8.9}{10.9}[/tex] )
Answer:
D. [tex]sin^{-1} (\frac{8.9}{10.9} ) = x[/tex]
Step-by-step explanation:
Sin is used to find the side length of a right triangle using angle degrees. However, this is using the inverse. The ratios are still the same, though.
sin(x) = 8.9/10.9 because it is the opposite side's length over the hypotenuse length. Making it the inverse would make it D.
951/3 i dont under stand
Answer:
317 IS THE ANSWER
Step-by-step explanation:
The right answer is 317
please see the attached picture for full solution.
hope it helps
good luck on your assignment
Which statement is true about the right angles ABC and DEF
Rewrite the function by completing the square
f(x) = 2x^2+3x-2
f(x)= ____ (x+___)^2+____
Answer:
Step-by-step explanation:
To complete the square, we need to add and subtract a constant term that will allow us to write the function in the form f(x) = a(x + h)^2 + k. Here's how we can rewrite f(x) = 2x^2 + 3x - 2 using completing the square:
f(x) = 2x^2 + 3x - 2
First, we factor out the coefficient of x^2:
f(x) = 2(x^2 + (3/2)x) - 2
Next, we take half of the coefficint of x and square it, then add and subtract it inside the parentheses:
f(x) = 2(x^2 + (3/2)x + (3/4)^2 - (3/4)^2) - 2
Simplifying the expression inside the parentheses:
f(x) = 2[(x + 3/4)^2 - 9/16] - 2
Expanding the brackets and simplifying:
f(x) = 2(x + 3/4)^2 - 17/8
Therefore, f(x) = 2x^2 + 3x - 2 can be written in the form f(x) = 2(x + 3/4)^2 - 17/8.
Hope that helps