Answer:
Yes
Step-by-step explanation:
Use the Pythagorean theorem (a^2 + b^2 = c^2) to find out if the hypotenuse (20 cm) squared is equal to the sum of the other two sides when squared. This will determine if it is truly a right triangle.
[tex]12^{2} +16^{2} =20^{2}[/tex]
[tex]144 + 256 = 400[/tex]
[tex]400 = 400[/tex]
The triangle is indeed a right triangle.
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Fill in the blank question.
Complete the following to show that the expressions (5+1)(5−1) and 52−12 are equivalent.
what is the area of the parallelogram below if b=6.1? Round your answer to the nearest tenth.
How many unique triangles can be draw waith side lengths id 12 cm and 16 cm, and a 50 degree included angle?
Answer:
the answer for this question is 1
Please help!!!!! I will give brainliest (As soon as i figure out how) LOL Im new here
Answer:
H= 8 k = 11
Step-by-step explanation:
H= 8 k = 11
sqrt ( x^8 k^11) = x^4 k^5 sqrt k
The volume of the right circular cylinder is 144 pi cubic yards. of h, the height of the cylinder is 4 yards, what is r, the radius of the base?
solve the system:
y=5
3x+y=2
solve the system:
y=5
4x-y=7
solve the system:
2x+y=12
3x-y=3
HELP PLEASE
Answer:
3x+5=2
3×=2- 5
3x= -3
x=-1
4x-5=7
4x=7+5
4x=12
4x÷4=12÷4
x=3
2x+5=12
2x=12-5
2x=7
2x÷2=7÷2
x=3.5
3x-5=3
3x=3+5
3x=8
3x÷3=8÷3
x=2.6
10x - 8y = 4
-5x + 3y = -9
(please explain step by step I don't understand)
Answer:
x = 6
y = 7
Step-by-step explanation:
10x - 8y = 4 ⇒ ( 1 )
-5x + 3y = -9 ⇒ ( 2 )
( 2 ) × 2
2 × ( -5x + 3y = -9 )
-10x + 6y = - 18 ⇒ ( 3 )
( 1 ) + ( 3 )
10x - 8y -10x + 6y = 4 - 18
-2y = - 14
Divide both sides by ( - 2 )
y = 7
Now let us replace y with 7 to find the value of x.
For that, let us use equation ( 1 ).
10x - 8y = 4
10x - 8 × 7 = 4
10x - 56 = 4
10x = 56 + 4
10x = 60
Divide both sides by 10.
x = 6
Answer:
[tex]\boxed{\sf{x=6 \quad y=7}}[/tex]Step-by-step explanation:
Isolate the term of x and y from one side of the equation.
10x-8y=4 and -5+3y=-910x-8y=4
x=2(2y+1)/5
Substitute.
[tex]\sf{-5*\dfrac{2(2y+1)}{5}+3y=-9}[/tex]
Solve.
-y-2=-9
Add by 2 from both sides.
-y-2+2=-9+2
Solve.
-y=-7
Divide by -1 from both sides.
-y/-1=-7/-1
Solve.
Divide the numbers from left to right.
-7/-1=7
y=7
Substitute of y=7.
x=2(2*7+1)/5
PEMDAS stands for:
ParenthesisExponentsMultiplyDivideAddSubtract2(2*7+1)/5
Do parenthesis first.
2*7=14
14+1=15
2(15)/5
Multiply.
2*15=30
Divide.
30/5=6
x=6
Therefore, the correct answer is x=6 and y=7.I hope this helps you! Let me know if my answer is wrong or not.
Convert equation to standard form
18) y+1=4/5(x-5)
Answer:
4x - 5y = 25
Step-by-step explanation:
CAN SOMEONE HELP ME PLSSSSSS I ASKED THIS LIKE 3 TIMES BUT NO ONE ANSWERED.THABKYOU!
Determine the area of the park that is not covered by the wading pool.
Answer:
19.63 m^2
Step-by-step explanation:
This is an Area=pi r^2 equation so it would be 3.14*2.5^2
Abby found that the radius of her bike tire was 14 inches what is the circumstances of the tire
Answer:
28
Step-by-step explanation:
radius= 14
circumstances of tire=?
Based on given conditions, formulate
circumstances= 2 multiply radius
= 2 multiply by 14
= 28
Find the area of the shape below
11 ft
7 ft
10 ft
8 ft
2 ft
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
Area of whole shape = Area of greater rectangle - area of smaller rectangle
Area of greater rectangle :
[tex]\qquad \sf \dashrightarrow \:11 \times 10[/tex]
[tex]\qquad \sf \dashrightarrow \:110 \: \: ft {}^{2} [/tex]
Area of smaller rectangle :
[tex]\qquad \sf \dashrightarrow \:7 \times 8[/tex]
[tex]\qquad \sf \dashrightarrow \:56 \: \: ft {}^{2} [/tex]
Area of composite figure :
[tex]\qquad \sf \dashrightarrow \:110 \: ft {}^{2} - 56 \: ft {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:54 \: {ft}^{2} [/tex]
HELP HELP HELPPPPP
thanks lol
Answer:
257mm^2
Step-by-step explanation:
18*(3+15)/2 = 162
4*(15+5) =80
3+5 = 15
total = 257 mm^2
Answer:
Step-by-step explanation:
Area of composite figure:
Shape I:
Shape I is an triangle
base= 3 + 15 + 5 = 23 mm
height = 18 mm
[tex]\boxed{\text{Area of traingle = $\dfrac{1}{2}base*height$}}[/tex]
[tex]= \dfrac{1}{2}*18*23\\\\= 9*23\\\\= 207 \ mm^{2}[/tex]
Shape 2:
Shape 2 is an rectangle.
length = 15 + 5 = 20 mm
width = 4 mm
[tex]\boxed{\text{Area of rectangle = length * width}}[/tex]
= 20 *4
= 80 mm²
Shape 3:
length = 5 mm
widht = 3 mm
Area of shape 3 = 5 * 3 = 15 mm²
Area of the composite shape = 207 + 80 + 15
= 302 mm²
Pythagorean theorem. Show your work!
Please help in really stuck!!
Answer:
[tex]\sqrt{29[/tex]
Step-by-step explanation:
Pythagorean theorem is a^2 + b^2 = c^2. "a" and "b" represent the side lengths QR and PR, while "c" represents the hypotenuse PQ.
Let's plug in these values:
2^2 + 5^2 = c^2
4 + 25 = c^2
29 = c^2
sqrt 29 = c
Therefore "c" is the square root of 29.
Answer:
My answers is basically 29^2 or [tex]\sqrt{29}[/tex]
Step-by-step explanation:
PLS HELP ME ASAP I WILL MARK THE BRAINLIEST
Answer:
Unfortunately I was only able to solve the second question
Step-by-step explanation:
So sorry if I'm wrong but this is what I got:
Volume of a cylinder
V=πr^2h
V=π(4^2)(19)
V=955.04
Lateral S.A.
S.A.=2πrh
S.A.=2π(4)(19)
S.A.=477.52
Total S.A.
S.A.=2πrh+2πr^2
S.A.=2π(4)(19)+2π(4^2)
S.A.=578.05
find the domain of the function (f•g)(x) where f(x)2x^2+c, g(x)=5x-1
Step-by-step explanation:
Notice the domain for both function is all real numbers.
So if we either add, subtract, multiply, or compose the functions, the domain will be all real numbers.
What is the best estimate of the area of the figure on the grid if each square has a side length of 1 inch?
12 square inches
O 20 square inches
25 square inches
O 33 square inches
Answer:12 i think
Step-by-step explanation:
Please help, super confused :(
Answer:
Below.
Step-by-step explanation:
The graph shown is f(x).
3. The graph 3 is the same shaped graph as drawn but moved 3 units to the left.
4. The graph 4 is the same shaped graph as drawn but moved 5 units to the right.
Hope this helps.
The scale drawing is 2 cm:5m. What is the length,width,and area of the actual room. 8cm & 12 cm
Answer:
Length= 20m, width=30m Area= 600m²
Step-by-step explanation:
The length becomes 8/2 × 5m=20m
the width becomes 12/2 × 5m=30m
Area = length × width
= 20m × 30m
=600m²
- Which of the following would best be solved using completing the square?
A. 22 – 2 – 20 = 0
B. 22 = 36
C. 2x2 + 15x = 6
D. 203 – 3c2 + 45 – 12 = 0
Answer:
C
Step-by-step explanation:
You can only complete the square with quadratic equations (equations leading with x^2)
C is the only answer choice that leads with x^2
Answer:
A
Step-by-step explanation:
Because you would do 22 _2 _20 and your answer will be zero .
Find the median of the data set without the outlier.
Then, find the median of the data set with the outlier.
Answer:
Median without the outlier: 9
Median with the outlier: 9
Step-by-step explanation:
The outlier here is 1, because it's smaller than most of the values in the data set.
Median: the middle value of a data set
Median without the outlier: 9
7, 8, 8, 9, 9, 10, 10, 10, 10
Median with the outlier: 9
1, 7, 8, 8, 9, 9, 10, 10, 10, 10
9 + 9 = 18
18/2 = 9
Hope this helps!
Answer:
the without the outlier 9
set with with the outlier 9
Step-by-step explanation:
A right prism is shown below.
What is the surface area of the right prism?
Question options:
290 in2
420 in2
520 in2
2940 in2
Answer:
290 8s the answer because 15 mutiplyed by 8 plus 17 multiplyed by 10 give you 290
[tex]\fbox{Surface \: area \: of \: prism = 520 \: sq.in.} [/tex]
Step by step explanation:Given:
height of prism h = 10 in
length of base of triangle b = 8 in
height of triangle h' = 15in
side A of triangle = 17 in
To find:
Surface area of prism = ?
Solution:
[tex]\begin{gathered}Area \: of \: base \: triangle = \: \frac{1}{2}\cdot{b}{h'} \\ Area \: of \: base \: triangle = \frac{1} {\not2}\cdot{15} \times \not{8} \\ Area \: of \: base \: triangle = 60 \: {in}^{2} \end{gathered}[/tex]\\[tex]\fbox{Area \: of \: base \: triangle \: (B) = 60 \: sq.in. }\\\begin{gathered}Perimeter \: of \: base \: triangle = Side A + Height \: h' + base \: b \\ Perimeter \: of \: base \: triangle = 15 + 17 + 8 \: in\\ Perimeter \: of \: base \: triangle = 40 \: in\end{gathered}
[/tex]
[tex]\fbox{Perimeter \: of \: base \: triangle (p) \: = 40 \: in} [/tex]
[tex]\begin{gathered}Surface \: area \: of \: prism = 2B+ \: ph \\ Surface \: area \: of \: prism = 2 \times 60+ \: 40 \times 10 \\ Surface \: area \: of \: prism = 120 + 400\\ Surface \: area \: of \: prism = 520 \: {in}^{2} \end{gathered} [/tex]
[tex]\fbox{Surface \: area \: of \: prism = 520 \: sq.in.} [/tex]
Thanks for joining brainly community!
Please I need step by step solution.
Q/ sin135° Use half angle identity.
Answer:
Step-by-step explanation:
Sin (90 + Ф ) =Cos Ф
135° = 90 + 45
Sin 135° = Sin (90 + 45)
= Cos 45°
[tex]= \dfrac{1}{\sqrt{2}}[/tex]
A fruit punch is made with 32 ounces of ginger ale for every 12 ounces of frozen orange juice
concentrate. How much ginger ale should you use for 30 ounces of orange juice concentrate?
Answer:
80
Step-by-step explanation:
if you make a ratio table
32ginger ale = 12orange juice
now we now 6x5=20 so we can divide 12 by 2 which would give us 6 and the same with 32 which would give us 16 now you have
16ginger ale = 6 orange juice
and we need 30 orange juice so 6x5= 30 and we multiply 16 by 5 too so 16x5=80 t
therefore
80 ginger ale = 30 orange juice
Find the following measures and angle measures.
Answer:
Step-by-step explanation:
Ben used 130. 2 pounds of gravel in his front yard and 110. 4 pounds in his back yard. How many more pounds of gravel does Ben use in his front yard than his back yard?
Answer:
19.8
Step-by-step explanation:
Subtract 130.2 by 110.4
can someone help me with this queston
Step-by-step explanation:
1) option A OR B AS THEY ARE THE SAME
2) option a
Answer: question 1 is b
Question 2 is a
Step-by-step explanation: hope it helps
in question 1 a and b are the same so choose this or this
What is (3.14)(87.5)²=____?
Answer:
24040.625
Hope this helped! I'm not good at explaining the steps, but this is the answer.
Can y’all help me with thjs
I'll write in the format (x;y) where x is the salad dressings amount, and y is the amount of servings.
We can see the line goes through the points (1;2) , (2;4) , (3;6) ...
So, the amount of servings are doubled the amount of salad dressings she need to use. (1 cup every 2 servings, 2 cups every 4 servings, etc.)
-> Leslle used half a cup of salad dressing for every serving of salad (B)
Answer:
B.
Step-by-step explanation:
Remember the first value is called the x-coordinate and the second value is the y-coordinate.
Find the first point the line crosses over.
So let's take the point (2,1).
As you can see that for every 2 servings Leslie uses 1 salad dressing cup,
2 to 1
Now look at the answers,
So you can are ready mark off A since it is not true,
You can mark off C since the line does not cross over points (1,4),
You can mark off D since the line does not cross over points (1,2),
That leaves you with B,
To check if it is true you need to find how much salad dressing cups are in one serving,
To do that you need to divide by 2 on both sides,
2÷2=1
1÷2=[tex]\frac{1}{2}[/tex]
your new rate is 1 to [tex]\frac{1}{2}[/tex]
So B is your answer.
What number is not part of the solution set to the inequality below?
x - 2 > or equal to 12
A 10
B 14
C 16
D 18
Answer:
B. 14
Step-by-step explanation:
Add 2 to both sides:)
it would be really helpful if i knew the answer step by step thank you
Answer:
61.3 to infinty
Step-by-step explanation:
1. Multiple: 7(8) = 56
2. Multiple: 2(4) = 8
3. Divide: the result of step 2: 3 = 8 : 3 = 2.6666666666667 = 8/43
4. Multiple: the result of step 3: 4 = 8/3
* 4 = 8 · 4/
3 · 1
= 32/
3
5. Subtract: the result of step 1 - the result of step 4 = 56 - 32/3
= 56/1
- 32/3
= 56 · 3/1 · 3
- 32/3
= 168/3
- 32/3
= 168 - 32/3
= 136/3
6. Multiple: 2(8) = 16
7. Add: the result of step 5 + the result of step 6 = 136/3
+ 16 = 136/3
+ 16/1
= 136/3
+ 16 · 3/ 1 · 3
= 136/3
+ 48/3
= 136 + 48/3
= 184/3