Answer:
? = 130°
Step-by-step explanation:
The sum of all angles inside a triangle is always 180°.
180 - 20 - 30 = 130°
130° is vertical to the ?, therefore, the ? = 130°
hope this helps :)
Find the new price for the markdown given. Round to the nearest cent if necessary.
$14.99 marked down 20%
Answer:
$11.99
Step-by-step explanation:
F (x)= 3x^2+4
G (x) = 2x^2 – 3x+1
H (x) = -4x^2 + 8x
Find G (x) H (x)
Show your work
Answer: -8x^4+28x^3-28x^2+8x
Jack bought a new boat for $36,000. The value of the boat continuously
depreciates at a rate of 15%. Find the value of the boat after 5 years.
a. $17,005
b. $7,621
c. $7,240
d. $4,140
Answer:
$15973.4
Step-by-step explanation:
The formula for depreciation is:
a(1 - r)^t
a = Initial value =$36,000
r = depreciation rate = 15% = 0.15
t = time in years = 5 years
The depreciation value = $36000 × (1 - 0.15)⁵
= 36000(0.85)⁵
= $15973.39125
Approximately = $15973.4
The value of the boat is $15,973 after 5 years.
Given that,
New boat cost is (A) $36,000.Depreciation rate is (r) 15%.We need to find the value of boat after (t) 5 years.According to the scenario, computation of the given data are as follows,
Value of boat = [tex]A (1 - r )^{t}[/tex]
By putting the value, we get
Value = [tex]36,000(1 - 0.15)^{5}[/tex]
= [tex]36,000(0.85)^{5}[/tex]
= 36,000 [tex]\times[/tex] 0.4437053125
= $15,973.4 or $15,973
Learn more: https://brainly.com/question/4557688
9. Three eggs are required to make two dozen muffins. How many eggs are
needed to make 12 dozen muffins?
Answer:
18 eggs
Step-by-step explanation:
What is the probability of spinning a white on the spinner
Answer:
where is the spinner?
Step-by-step explanation:
Use the Distributive Property to Expand the Expression
1) 8 ( b + 5 )
Answer:
8b + 40
Step-by-step explanation:
8( b + 5 )
8×b + 8×5
8b+40
Write 750% as a decimal and as a fraction in simplest form
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
You are given an expression for the volume of the rectangular prism. Determine an expression for the missing dimension.
V equal 4 x to the power of 3 plus 5 x to the power of 2 minus 32 x minus 33 and the dimensions are ( x + 1 ) and ( x + 3 ) .
Given:
The volume of the rectangular prism is
[tex]V=4x^3+5x^2-32x-33[/tex]
Two dimensions are (x+1) and (x+3).
To find:
The missing dimension.
Solution:
We know that, volume of a rectangular prism is
[tex]V=length\times breadth\times height[/tex]
It means, volume of a rectangular prism is the product of all dimensions.
We have,
[tex]V=4x^3+5x^2-32x-33[/tex]
Splitting the middle terms, we get
[tex]V=4x^3+4x^2+x^2+x-33x-33[/tex]
[tex]V=4x^2(x+1)+x(x+1)-33(x+1)[/tex]
[tex]V=(x+1)(4x^2+x-33)[/tex]
Splitting the middle term, we get
[tex]V=(x+1)(4x^2+12x-11x-33)[/tex]
[tex]V=(x+1)(4x(x+3)-11(x+3))[/tex]
[tex]V=(x+1)(x+3)(4x-11)[/tex]
So, the three dimensions of the rectangular prism are (x+1), (x+3) and (4x-11).
Therefore, the missing dimension is (4x-11).
Answer:
the missing dimension is (4x-11).Use the meaning of cube roots to show how to find an exact solution to the equation Ya + 2 =
- 2 without using a graph.
Answer: Coordinate plane, x, negative 2 to 2 by 1, y, negative 10
Step-by-step explanation: don't know just trying to help
Factor 20w - 15.
please someone help!
Answer:
5( 4w -3)
Step-by-step explanation:
just pulled out a 5
Answer:
[tex]\huge\boxed{\sf 5(4w-3)}[/tex]
Step-by-step explanation:
[tex]\sf 20w-15\\\\Highest\ Common\ Factor= 5\\\\Take \ 5 \ common\\\\5(4w-3)\\\\This \ is \ the \ required\ factorized \ form\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807What is the length of the unknown side of the right triangle?
A right triangle with hypotenuse x and legs 21 and 20
21
29
400
441
According to Pythagoras theorem,
h² = b² + h²
=> x² = 21² + 20²
=> x² = 441 + 400
=> x = √841
=> x = 29
Thus, the length of the unknown side is 29 units.
a large candy bar was 116 calories. the smaller candy bar was 28% less calories. how many calories does the smaller candy bar have?
Answer: 83.52 calories
Step-by-step explanation:
first candy bar=116 calories
second candy bar= has 28% less calories
to find out the answer we will 28/100=0.28
116x0.28=32.48 calories(less)
116-32.48=83.52 calories for the second candy bar
what sports do you play?
Answer:
football
Step-by-step explanation:
also known as soccer
what is the value of x
1. 124
2. 62
3. 112
4. 68
explain why the answer is correct
Answer:
3.112 because 56+56=112Answer:
The answer is 4. 68
Step-by-step explanation:
since equal sides of triangle,it has equal angle at the base of triangle.So, the two angles of triangle at base is 56. The sum of angles in a triangle is 180.Therefore,56+56+x=180
x=180-112
x=68
Which is the best estimate of
11 1/5 and 2 3/4
I think your question lacks a little bit of information. After a little research, I am able to find that you probably wanted to say '11 1/5 divided by 2 3/4'.
Therefore, I am solving the question assuming that you want to say:
''What is the best estimate of 11 1/5 divided by 2 3/4''.
Answer:
The best estimate of 11 1/5 divided by 2 3/4 will be: 4
Step-by-step explanation:
Given the information
11 1/5 divided by 2 3/4
solving the expression
[tex]11\frac{1}{5}\div 2\frac{3}{4}[/tex]
[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\:a\frac{b}{c}=\frac{a\cdot \:c+b}{c}[/tex]
so
[tex]11\frac{1}{5}=\frac{11\cdot 5+1}{5}=\frac{56}{5}[/tex][tex]2\frac{3}{4}=\frac{2\cdot 4+3}{4}=\frac{11}{4}[/tex]so the expression becomes
[tex]11\frac{1}{5}\div 2\frac{3}{4}\:=\frac{56}{5}\div \:\frac{11}{4}[/tex]
[tex]=\frac{56}{5}\times \frac{4}{11}[/tex]
[tex]=\frac{56\times \:4}{5\times \:11}[/tex]
[tex]=\frac{224}{5\times \:11}[/tex]
[tex]=\frac{224}{55}[/tex]
[tex]=4.07[/tex]
[tex]= 4[/tex] (Rounded to the nearest 1 or the Ones Place)
Therefore, the best estimate of 11 1/5 divided by 2 3/4 will be: 4
PLEASEEEE ANSWERRRRRRRRR BBYIES!!
Last year at a certain high school, there were 80 boys on the honor roll and 88 girls on the honor roll. This year, the number of boys on the honor roll increased by 15% and the number of girls on the honor roll increased by 25%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).
Answer:
40%
Step-by-step explanation:
15% + 25% = 40%
find the x-intercept and y -intercept 4x-7y=8
Answer:
x- intercept = 2, y- intercept = - [tex]\frac{8}{7}[/tex]
Step-by-step explanation:
To find the x- intercept, let y = 0 in the equation and solve for x
4x - 7(0) = 8 , that is
4x = 8 ( divide both sides by 2 )
x = 2 ← x- intercept
To find the y- intercept , let x = 0 in the equation and solve for y
4(0) - 7y = 8, that is
- 7y = 8 ( divide both sides by - 7 )
y = - [tex]\frac{8}{7}[/tex] ← y- intercept
What is an equation in slope-intercept form of the line that passes through (6, 10) and is parallel to the graph of y=1/3x−1?
Here are the answer choices:
A: y−10=1/3(x−6)
B: y=1/3x+8
C: y−10=−3(x−6)
D: y=−3x+28
Answer:
B
Step-by-step explanation:
sope intercept form: (y=mx+b)
m = slope
m = 1/3 (slope of parallel lines are the same)
10 = 1/3(6)+b
10 = 2+b
b = 8
write with slope and b
y = 1/3x+8
The answer is B
If f(x)=x^2+3x-5, find f(3)
Answer:
14
Step-by-step explanation:
f(x)=x^2+3x-5
f(3)=(3)^2+3(3)-5
f(3)=9+9-5
f(3)=14
Answer
F(3)=13
Step-by-step explanation:
HELP PLEASE !!!!!!!!!
Answer:
I believe it would be the first option
A bicycle has a listed price of $811.98 before tax. If the sales tax rate is 7.5%, find the total cost of the bicycle with sales tax included.
Round your answer to the nearest cent, as necessary.
Answer:
Step-by-step explanation:
811.98*7.5%= 60.898
811.98+60.898= 872.787 round to $872.79
Answer:
$872.88
Step-by-step explanation:
811.98 x 7.5%= 811.98 x 0.075
811.98 x 0.075= 60.90
811.98+60.90= 872.88
HELP PLS MATH sucks
Answer:
∠1 = 130
∠3 = 130
∠2 = 50
Step-by-step explanation:
180 - 50 = 130
∠1 = ∠3 = 130 degrees
∠2 = 50 degrees
Which is greater? 670.9 or 670.008
Answer:
670.9
Step-by-step explanation:
because 670.9 is bigger and 670.008 has more 0's and 0's aren't greater
Please Rate 1-10, Then also add what your favorite one is.
Answer:
first one
Step-by-step explanation:
first one 10/10
2nd ome 9.6/10
I like the first one better
Answer:
2 one is my favorite
Step-by-step explanation:
1 , 9
2, 10
3, 8
4, 5
5, 1
Tori is sending a birthday gift to her friend out of state and wants to know how much brown paper she will need to
cover the box.
8 in
10 in.
14 in
Which statement is true about the amount of paper Tori will need to cover the entire box?
O Covering the entire box is the surface area, which is 664 in.?.
O Covering the entire box is the surface area, which is 1,120 in.?
O Covering the entire box is the volume, which is 664 in.3.
O Covering the entire box is the volume, which is 1,120 in.?.
Answer:
A. Covering the entire box is the surface area, which is 664 in.
Step-by-step explanation:
I did the test myself. Have a great day/night! Good luck with the rest of your test! <3
What is the slope of the line?
2x-5y=9
Answer:
m(slope)=2/5
Step-by-step explanation:
y2-y1/x2-x1
raised the points, please please help me out
Answer:
Where is the question?
The information is in the picture PLEASE HELP ME
Answer:
The answer is C
Step-by-step explanation:
n^3+4n = 4n+5
n^3+4n + 4n+5
n^3+8n+5
HELP ASAP PLEASE
A plane flies at 350 mph in the direction N 40° E with a wind blowing at 40 mph in the direction S 70° E. What is the plane’s drift angle?
5.89°
6.38°
45.89°
46.38°
Answer:
The correct option is;
5.89°
Step-by-step explanation:
The speed with which the plane flies = 350 mph
The direction of flight of the plane = N 40° E
The speed with which the wind blows = 40 mph
The direction in which the wind blows = S 70° E
Therefore, we have;
The resolution of the components of the motion of the plane, given as follows;
[tex]S_{Plane}[/tex] = 350 × sin(40°)·i + 350 × cos(40°)·j
The resolution of the components of the motion of the wind, given as follows;
[tex]S_{Wind}[/tex] = 40 × sin(70°)·i - 40 × cos(70°)·j
The resultant motion of the plane is given as follows;
[tex]R_{Plane}[/tex] = 262.563·i + 254.435·j
The direction of motion of the plane = tan⁻¹(262.563/254.435) ≈ N 45.9° E
Therefore, the plane's drift = Plane's Track - Plane's Heading = N 45.9° E - N 40° E ≈ 5.9° ≈ 5.89°
Therefore, the correct option is 5.89°.
Answer:
5.89
Step-by-step explanation:
so u don't have to look at that long one lol.