Answer:
Step-by-step explanation:
x+2) x^3+0x^2+0x-4(x^2-2x+4
x^3+2x^2
- -
_______________
-2x^2+0x
-2x^2-4x
+ +
____________
4x-4
4x+8
- -
______
-12
_____
[tex]\frac{x^3-4}{x+2} =x^2-2x+4+\frac{-12}{x+2}[/tex]
Suppose a radius of a circle is 17 units and a chord is 30 units long. Find the distance from the center of
the circle to the chord.
Answer:
Let A represent the center of the circle. Let the point B be a point at the intersection of the one end of the chord and the edge of the circle. Finally, let C represent a point between the center of the circle and the midpoint of the cord. The triangle ABC is a right triangle with a 90 degree angle at ACB. Since the cord length is 30, the bisected segment BC is length 15 .
(length AB)^2 = (length BC)^2 + (length AC)^2
17^2 = 15^2 + (length AC)^2
289 = 225 + (length AC)^2
add -225 to each side
64 = (length AC)^2
take square root of each side
8 = length AC
explain how to find the answer pls.
Answer:
from the lines i you can see that these triangles are the same so that means the other angle is 74 so since we know that the angles of a triangle always add up to 180
5x+3x+2+74=180
simlify
8x+76=180
-76
8x=104
divide by 8
x=13
Hope This Helps!!!
5. Quinn wants to put a picture a new frame he
received for his birthday. The picture is 4/8 inch
long and 1/4 inch wide. What is the area of the
picture?
A. 4/12 square inch
B. 1/2 square inch
C. 1/8 square inch
D. 4/24 square inch
Answer:
C. 1/8 square inch
Step-by-step explanation:
Hope this helps!
two crocodiles together can finish their snack in 40 seconds. one of the crocodiles can finish the snack in 60 seconds. how long will it take the second crocodile to finish the same snack
Please help with geometry
sofia took piano lessons for 18 months.How many years is that show your work
help me pleaseeeeeeeeee
Answer:
9
Step-by-step explanation:
The square root of 81 is 9
Answer:
9
Step-by-step explanation:
9x9=81
9 is the square root of 81 bc 9 times itself is 81
pls help me with this math problem 90 points for you in return.
Answer:
K = -2J + 28
Step-by-step explanation:
To find the slope just look at rise over run.
The rise is -4 as it goes down and run is 2 to the right.
slope = rise/run = -4/2 = -2
The second blank is 28, you just have to see where the line touches the y axis.
1. What makes the truss bridge design differ from the other bridges?
2. What makes the truss bridge stable and reliable design?
Answer:
because it hasn't fallen yet
Step-by-step explanation:
I got commen since
Simplify:
3(2p + 3 + 4p)
Answer:
6p + 9 + 12p
18p + 9
Step-by-step explanation:
3(2p + 3 + 4p)
Multiply all the numbers by the outside number. ex: 3(2p + 9). Multiply 3 x 2 which is 6. then you multiply 3 x 9 which is 27. So the answer would be 6p + 28.
Pt 2. 3 times 2 is 6 so you get 6p. Then you multiply 3 times 3 which is 9. then 3 times 4p which is 6 p.
pt 3. combine the like terms. 6p + 12p equals 18p.
so the answer would be 18p + 9.
(I tried my best. please dont judge.
Answer:
18p+9
Step-by-step explanation:
[tex]3\left(2p+3+4p\right)[/tex]
[tex]\mathrm{Simplify\;2p+3+4p=6p+3}[/tex]
[tex]=3\left(6p+3\right)[/tex]
[tex]Expand\;3(6p+3):18p+9[/tex]
[tex]=18p+9[/tex]
~Lenvy
A baseball player had 4 hits in 8 games. At this rate, how many hits will the baseball player have in the next 28 games?
14
24
28
56
Answer:
14
Step-by-step explanation:
4 hits/8 games = 1 hit per 2 games =1/2
14 hits per 28 games = 14/28 =1/2
What is the value of 27÷(−34⋅−45)?
4
16/15
28 4/5
45
Answer:
It would not be any of those answers. it would be 106 :) Its negative numbers divided
The value of expression is,
⇒ - 27 / 79
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The expression is,
⇒ 27 ÷ (- 34 - 45)
Now, We can simplify as;
⇒ 27 ÷ (- 34 - 45)
⇒ 27 ÷ - 79
⇒ - 27 / 79
Thus, After simplification, we get;
⇒ - 27 / 79
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A triangular prism has a base that is a triangle with each side length measuring 6 inches. By how much is the prism’s lateral surface area increased if the base of the triangle is doubled? Please show work because I need to write it down. Also pls reply ASAP, as this is due tomorrow.
Answer:
The lateral surface is increased by a factor of 2.
Step-by-step explanation:
Since each side of the base was doubled in length, but the height of the prism remains the same, all sides double in area.
Therefore the total new lateral area is double what it was.
The lateral surface is increased by a factor of 2.
What is the next number on numerical number 39 32 25 18?
Answer:
11
Step-by-step explanation:
The pattern is the number minus 7. The next numbers after 11 would be 4, -3, -10 and so on.
How much more intense is an 8. 5 earthquake than a 5. 5
Answer:
it is more intense by 3.0
Step-by-step explanation:
A group of students bought 8
bags of candy. Each bag
contains 3 1/2 cups of candy. This
candy is shared evenly among 12
students. How many cups
of
candy will each student receive
Show your work.
A 13 meter long cylinder with a diameter of 6 meters has a square prism with a base length of 3 meters hole going all the way through the center of it as shown in the diagram (not to scale). Find the volume of the composite shape rounding to the nearest cubic meter. Hint: while working the problem carry figures at least three decimal places, then round to the nearest cubic meter only once at the very end.
Answer:
The volume of the composite figure is approximately 337.27 m³
Step-by-step explanation:
The given parameters are;
The length of the cylinder, L = 15 meters
The diameter of the cylinder, D = 7 meters
The base length of the square prism, B = 4 meters
We note that the square diagonal of the square = √(4² + 4²) = 4·√2 ≈ 5.66 meters, fits in the cylinder
Therefore, we have;
The volume of the composite figure = The volume of the cylinder - The volume of the square prism
The volume of the cylinder = π/4 × D² × L = π/4 × 7² × 15 ≈ 577.27 m³
The volume of the square prism = B² × L = 4² × 15 = 240 m³
∴ The volume of the composite figure ≈ 577.27 m³ - 240 m³ ≈ 337.27 m³
The volume of the composite figure ≈ 337.27 m³.
Hope it helps!!!!!!!Brainliest pls!!!!!!!What part of the story does x represent?
Answer:
x =x
Step-by-step explanation:
step 1 you can not identify an unknown variable therefore you leave it like that
The domain for f(x) = 3x + 2 is -3 ≤ x ≤ 2. The greatest value in the range of f(x) is?
A. -7
B. 2
C. 8
D. 11
just replace x with the highest value
f([tex]x_{max}[/tex]) = 3(2) + 2
= 8
The greatest value in the range of f(x) is 8.
What is the domain and range of the function?The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
WE are given that the domain for f(x) = 3x + 2 is -3 ≤ x ≤ 2.
We just need to replace x with the highest value;
f(2) = 3(2) + 2
f(2) = 8
Therefore, The greatest value in the range of f(x) is 8.
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The volume of a particular rectangular box is given by the equation V = 50x-2x'. The height and length of
the box are shown on the diagram below. Find the width of the box in terms of x. Recall that V =L-W-H
for a rectangular box.
Dimensions on diagram:
2x(height)
x+5(length)
?(width)
Answer:
Volume = height x width x lengthV = h•l•w(50x - 2x3) = (2x)•(x+5)•w(50x - 2x3) = (2x2 + 10x)•w(50x - 2x3)/(2x2 + 10x) = w2x(25 - x2)/(2x(x + 5)) = w(25 - x2)/(x + 5) = w(5 + x)(5 - x)/(x + 5) =w
5 - x = w
Step-by-step explanation:
mark me brainliest!!
The measure of the supplement of an angle is 46 more than 3 times the compliment of the angle. Find the angle.
Answer: 68 degrees
Step-by-step explanation:
Let the measure of the angle be x.
The supplement of the angle is 180 - x as supplementary angles add up to 180 degrees.
The complement of the angle is 90 - x as complementary angles add up to 90 degrees.
We can set up an equation.
180 - x = 46 + 3*(90-x)
180 - x = 46 + 270 - 3x
Combine like terms:
2x = 136
Divide both sides by 2:
x = 68
What are supplementary and complementary angles?
Supplementary angles are angles whose measure adds up to 180°Complementary angles are angles whose measure adds up to 90°
First, let's assign a variable to the unknown angle: xNext, set up an equation that represents the information you were given:
The supplement of an angle (180 - x) is [=] 46 more than 3 times the complement (90-x):
180 - x = 3 (90 - x) +46
Now, solve for x:
180 - x = 3 (90 - x) +46
180 - x = 270 - 3x +46
180 - x = 316 -3x
-x = 136 -3x
2x = 136
x = 68
The angle is 68°
which of the following represents y -
A girl skates around the perimeter of a circular ice rink at a constant speed of 2 m/s. Which of the following is NOT a true statement about her speed, velocity, and acceleration?
Answer:
I believe it is C, she accelerates constantly as she changes direction constantly.
Step-by-step explanation:
The girl's speed is constant; therefore, she has no acceleration, and does not accelerate at all.
I hope this helped! :)
Find the measure of the missing angles .
Answer:
d = 90°
e = 41°
f = 139°
Step-by-step explanation:
d + 90° = 180° (Angles in linear pair)
-> d = 180° - 90°
-> d = 90°
e = 41° (vertical angles)
f + 41° = 180° (Angles in linear pair)
-> f = 180° - 41°
-> f = 139°
A recipe uses 4 cups of milk to make 24 servings. If the same amount of milk is used for each serving, how many servings can be made from two gallons?
1 gallon
=
1 gallon=
4 quarts
4 quarts
1 quart
=
1 quart=
2 pints
2 pints
1 pint
=
1 pint=
2 cups
2 cups
1 cup
=
1 cup=
8 fluid ounces
8 fluid ounces
Before you try that problem, answer the question below.
How many cups will you need to find the number of servings for? Using Proportion
Answer:
192 servings in two gallons
Step-by-step explanation:
16 cups= 1 gallon
32 cups= 2 gallons
find the unit rate
1 cup: __ servings
4:24
divide by 4
1:6
multiply by 32
=32:192
192 servings
Put the measurements in order from least to greatest.
PLS HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
last one
Step-by-step explanation:
best answer out of the three, it’s the only one that makes sense
Answer:
the midpoint of ac.
Step-by-step explanation:
there really isnt a explanation brainly patrol dont take this down, this is the answer you can see it for yourselves.
Solve for x. Assume that lines which appear to be tangent are tangent.
Answer:
7)
[tex]\tt 2x-14=x-2[/tex]
[tex]\tt 2x-x=14-2[/tex]
[tex]\boxed{\tt x=12}[/tex]
~
8)
[tex]\tt -6+7x=5x+10[/tex]
[tex]\tt 7x-5x=6+10[/tex]
[tex]\boxed{\tt x=8}[/tex]
~
9)
[tex]\tt x-2=2x-6[/tex]
[tex]\tt 6-2=x[/tex]
[tex]\boxed{\tt x=4}[/tex]
~
10)
[tex]\tt 2x+10=4x-10[/tex]
[tex]\tt 4x-2x=10+10[/tex]
[tex]\tt 2x=20[/tex]
[tex]\boxed{\tt x=10}[/tex]
~
11)
[tex]\tt 5x+7=4x+15[/tex]
[tex]\tt 5x-4x=15-7[/tex]
[tex]\boxed{\tt x=8}[/tex]
~
12)
[tex]\tt 12x=11x+2[/tex]
[tex]\tt 12x-11x=2[/tex]
[tex]\boxed{\tt x=2}[/tex]
~
x+5=7 solve each equation
Answer:
x=2
Step-by-step explanation:
7-5=x
7-5=2
Answer:
Solution
or, X= 7-5
or, X=2
Your answer is 2.
I think it will help you.
Jannette says because 's sides form a Pythagorean triple and 's side lengths are multiples of 's side lengths. Is she correct? Explain your reasoning.
The similar triangles ABC and DEF may or may not have equal lengths
Janette's claim that triangles ABC and DEF are similar triangle is true
How to prove or disprove Janette's claim?Start by calculating the length of the third sides using the Pythagoras theorem.
[tex]a^2 = b^c + c^2[/tex]
For triangle ABC, we have:
[tex]AC^2 = 20^2 + 21^2[/tex]
[tex]AC = 29[/tex]
For triangle DEF, we have:
[tex]58^2 = 40^2 + EF^2[/tex]
This gives
[tex]EF^2 = 58^2 - 40^2[/tex]
[tex]EF = 42[/tex]
So, we have the following corresponding lengths on both triangles
Triangle ABC Triangle DEF Common ratio
20 40 2
21 42 2
29 58 2
Since the common ratios are the same, then the triangles are similar
Hence, Janette's claim is true
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