Answer:
r = 30°
Step-by-step explanation:
According to the Exterior Angle Sum Theorem, the exterior angle, which is 90°, is equal to the 2 interior angles, which are 60° and r°. We know that the angle next to the exterior angle is 90°, and since all angle sums add up to 180°, r = 30°.
HELP! how do I find the degrees for this problem
Answer:
90°
Step-by-step explanation:
m∠x+m∠y+m∠z=180°
m∠x+m∠y+90=180
m∠x+m∠y=180-90=90°
Does (-54, -90) make the equation y = x - -36 true? yes no
Andre found an old mustang car that can fix.he bought the car of 65⁰/0 of the original $7200 price.what did andrew pay for the car?
Answer:
Step-by-step explanation:
Thinking of this in terms of words, we are looking to solve the equation:
"The price Andre paid for the car is 65% of the original $7200 price" which in algebra-speak is
p = .65(7200) where p is the price Andre paid (our unknown), the word "is" indicates an equals sign, .65 is 65% as a decimal, the word "of" indicates multiplication, and the original price is...well, the original price.
Solving for p:
p = $4680
A student can walk to school in 3/4 of an hour. She can ride to school in 1/6 of that time. What fraction of an hour does it take the student to bike to school?
Answer:
It takes 1/8 of an hour for the student to bike to school.
Step-by-step explanation:
We want to find 1/6 of 3/4, as that is how long it takes her to ride to school. When taking one fraction of another, we can multiply them. We can apply this to get
1/6 * 3/4 = 3/24 = 1/8. This means that it takes 1/8 of an hour for the student to bike to school.
The interior angle of a polygon is 3degrees greater than the exterior angle.find the sum of the angles of the polygon
Step-by-step explanation:
We know that the sum of angle around a point is 180° . Therefore let the first angle be x then second will be x + 3 .
According to the Question ,
> x + x + 3 = 360°
> 2x = 357=
> x = 357°/2
> x = 178.5°
If f(x) = 2x + 1 and g(x) = x2 + 5,
what is g(f(2))?
Answer:
30 if that is an [tex]x^{2}[/tex] in g(x)
Step-by-step explanation:
f(2) = 2x + 1
= 2(2) + 1
= 4 + 1
f(2) = 5
g(5) = [tex]x^{2}[/tex] + 5
= [tex]5^{2}[/tex] + 5
= 25 + 5
g(5) = 30
Answer: 30
Step-by-step explanation:
First find f(2)
f(2) = 2(2) + 1 = 4 + 1 = 5
Therefore g(f(2)) = g(5)
Now solve for g(5)
g(5) = (5)² + 5 = 25 + 5 = 30
I need help on my math!!!!!!!
Answer:
(b) 30.25 feet
Step-by-step explanation:
Given
[tex]v = \sqrt{64h[/tex]
Required
Find [tex]h[/tex] when [tex]v = 44[/tex]
Substitute [tex]v = 44[/tex] in [tex]v = \sqrt{64h[/tex]
[tex]44 = \sqrt{64h[/tex]
Take square of both sides
[tex]44^2 = 64h[/tex]
[tex]1936 = 64h[/tex]
Divide both sides by 64
[tex]30.25 = h[/tex]
Rewrite as:
[tex]h = 30.25[/tex]
3 added to five times a number, and the result is multiplied by 4 . The final result is 72 . What is the number
Answer:
3
Step-by-step explanation:
72/4=18 18-3=15 15/5=3
If 3 added to five times a number, and the result is multiplied by 4, the number that satisfies the given conditions is x = 3.
Let's break down the problem step by step to find the number.
First, we start with a variable to represent the unknown number. Let's call it "x".
The problem states that "3 added to five times a number," which can be expressed as 5x + 3.
Next, it says that "the result is multiplied by 4," so we can write the equation as 4(5x + 3).
Finally, the problem states that "the final result is 72," so we set the equation equal to 72:
4(5x + 3) = 72
To solve for x, we simplify the equation:
20x + 12 = 72
Next, we subtract 12 from both sides:
20x = 60
Finally, we divide both sides by 20:
x = 3
To learn more about numbers click on,
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For what value of b will f(x) = x^2 + bx + 400 have -20 as its only zero? Record your answer and fill in the bubbles on your answer document.
The polynomials f(x) = x^2 + bx + 400 have -20 as its only zero then the value of b is 40.
The polynomials f(x) = x^2 + bx + 400 have -20 as its only zero
Then x=-20
What is the zero of a polynomial?The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero.
x=-20 is the zero of the given polynomial
Therefore it satisfies the given polynomial
[tex]f(-20)=(-20)^2+b(-20)+400[/tex]
[tex]0=400-20b+400\\800-20b=0\\-20b=-800\\b=\frac{-800}{-20} \\b=40[/tex]
Therefore the value of b is 40.
To learn more about the zeros of the polynomials visit:
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Question 1 (5 points)
Determine the value of x.
3
3V2
6
3V3
Answer:
Step-by-step explanation:
Which ordered pair is the best estimate
for the solution of the system of
equations?
y= 3/2x +6
y=1/4x -2
Answer: -6.4, -3.6
Explanation: A souloution of the system of equations is, when two equations intercept (y= 3/2x +6, y=1/4x -2)
In a group of 36 pupils, 10 play the flute only. 15 play the piano only. 4 play neither instrument. A student is selected at random. What is the probability the student plays both instruments?
Answer:
9
Step-by-step explanation:
First you would need to subtract all the irrelevant students.
So, subtract 4 from 36, which is 34.
34 - (10 + 15) =
34 - 25 =
9
The answer is 9 pupils.
If two angles are supplementary and one angle measure is 110 degrees, what is the measure of the other angle?
Answer:
70 degrees
Step-by-step explanation:
Supplementary angles are angles that have a sum of 180. So if 110 is one angle, 70 must be the other to total 180:
110+ x = 180
x = 70
Answer:
70°
Step-by-step explanation:
If a rectangle is rotated about the y-axis as shown below, what three-dimensional figure would be formed?
An image of a rectangle centered at the origin is shown with an arrow showing motion about the y axis.
Rectangular prism
Cone
Cylinder
Square pyramid
Answer:
Cylinder. The explanation is not very exact, more intuition and whatnot, so let me know if there was anything you did not understand.
Step-by-step explanation:
This is assuming the rectangle has its sides parallel with the x and y axes.
Let's try to eliminate them one by one. A cone does not seem likely since it has slanted sides, and spinning the two straight sides will keep the sides straight. This can be used for the pyramid as well. Let me know if this doesn't make sense though.
Now for me I would imagine that rectangle being a sheet of paper, or metal. if you set that sheet atop some dirt or something and then rotated it, what shape would be drawn into the material? It would be a circle. So we know the 3d shapewill have a base of a circle, which leaves us with a cylinder. Again, let me know if this method did not make sense.
What is the measure of Z?
Answer:
It is C
Step-by-step explanation:
142+28=180
180÷2=90
m∠v=90
Una persona va a solicitar un prestamo en el banco de 35,000 pesos, con una tasa de interes del 3% va a pagar en 5 años cual sera el interes que pagara la persona?
Respuesta:
5250
Explicación paso a paso:
Dado que :
Importe del préstamo, principal, p = 35000
Tasa de interés, r = 3% = 0.03
Tiempo, t = 5 años
Usando la fórmula de interés simple:
Interés = principal * tasa * tiempo
Interés = 35000 * 0.03 * 5
Intereses = 5250 pesos
Drag the tiles to the correct boxes to complete the pairs.Match each function to its domain
Answer:
f(x) = [tex]\sqrt{x+5}[/tex] : All real numbers greater than/equal to 5
Explanation: you can't square root negative numbers, and any number less than 5 would give us negative.
f(x) = [tex]\frac{7}{x-8}[/tex] : All real numbers except 8
Explanation: You can't divide by 0, and if we included 8 in the number set, we would get this: [tex]\frac{7}{8-8} =\frac{7}{0}[/tex] (this is impossible).
f(x) = [tex]\sqrt{2}[/tex] : All positive real numbers and 0
Explanation: Again, you can't square root negative numbers.
f(x) = 8x : All real numbers
Not much to explain for this one, any real number makes this equation true.
What is the recursive formula for this geometric sequence?
-3, -21, -147, -1029, ..
Answer:
b . is the answer
Step-by-step explanation:
ha ahhgahga
The figure shows a parallelogram inside a rectangle outline:
What is the area of the parallelogram?
Answers:
(Please choose an answer out of these four, not one that's different!)
1 over 25 square foot
11 over 25 square foot
3 over 25 square foot
4 over 25 square foot
Answer: Choice D) 4 over 25 square foot
This is the same as writing the fraction 4/25 of a square foot.
============================================================
Explanation:
The base of the rectangle is 3/5 of a foot. The horizontal portion of either triangle is 1/5 of a foot.
These two facts allow us to find that the base of the parallelogram is 3/5 - 1/5 = 2/5 of a foot.
Multiply this with the height (2/5) to get
area = base*height
area = (2/5)*(2/5)
area = 4/25 .... answer is choice D
Side note: the base and height are not always the same length.
-----------
A slightly longer approach would have you follow these steps
Find the area of the rectangle. Call it A.Find the area of the triangle on the left. Call it B.Find the area of the triangle on the right. Call it C. You should find that B and C are the same value.The final answer is the computation of A-B-C and you should get 4/25.Find the value of c
1.)[tex](4)^{3c}*(4)^{5c}=4/16[/tex]
[tex]\displaystyle\ \boxed{a^m\cdot a^n=a^{m+n}}\\\\4^{3c} \cdot 4^{5c}=\frac{4}{16} \\\\4^{3c+5c}=4^{-1}\\\\8c=-1\\\\c=-\frac{1}8}[/tex]
Graph this function: y= -5/3x+6
Answer:
(0,6) and (3,1)
Step-by-step explanation:
The equation is already in slope intercept form.
y = mx + b
Since the y-intercept is '6', the first point would be (0, 6).
-----------------------------------
We can move three units to the right and 5 units down to get our second point, (3,1).
Note that slope is rise over run.
(0 + 3, 6 - 5) - > (3, 1).
The points would be (0,6) and (3,1). After plotting, you would draw a continuous line through them.
Hope this helps.
i'm kinda confused in this question, please help me.
Answer:
there you go
Step-by-step explanation:
angle DOB is 60 degree.
Answer:
see explanation
Step-by-step explanation:
Given ∠ DOC = 90° then
∠ DOB = 90 - p and
Since AOB is a straight angle , then
4p + 90 - p = 180
3p + 90 = 180 ( subtract 90 from both sides )
3p = 90 ( divide both sides by 3 )
p = 30
4p = 4 × 30 = 120
Then
∠ DOB = 180° - 4p = 180° - 120° = 60°
Be sure to show your work and solve for h:
6 + h + 8 = 24
Answer:
10
Step-by-step explanation:
6 + h + 8 = 24
h + 6 + 8 = 24
h + 14 = 24
h = 24 - 14
h = 10
If a dairyman has 300 pounds of milk testing 3% butterfat, how many pounds of skimmed milk (with no butterfat) must he
remove to have milk testing 3.6% butterfat?
28.125 pounds
50 pounds
1.8 pounds
NEXT QUESTION
ASK FOR HELP
TURN ITIN
Answer:
B. 50 poundsStep-by-step explanation:
Set the equation and solve for x:
300*3/100 = (300 - x)*3.6/100900 = 1080 - 3.6x3.6x = 180x = 180/3.6x = 50 poundsCorrect choice is B
A pair of earbuds cost 43$. They are on sale for 20% off. What is the discount and the final price of the earbuds
Answer:
the discount of the earbuds is $8.60
the final price is $34.40
Step-by-step explanation:
1. find 20% of 43:
43 x 0.2 = 8.60
2. subtract that from $43:
$43 - 8.60 = $34.40
the discount of the earbuds is $8.60
the final price is $34.40
Find the other endpoint of the line segment with the given endpoint and midpoint. Round to the
nearest tenth.
Endpoint (-5, 4) Midpoint (-10, 6)
Maths assignment
a^3-9a
Answer:
a³-9a
a³-9a
=a(a+3)(a-3)
Which best describes the end behavior of y = 7x^2
Answer:
Step-by-step explanation:
This is an even function (because it has an exponent that is an even number), and even functions have the end behavior of both tails going in the same direction. Because this is a positive even function, both of the tails are going up.
Sales tax is 6% using only one term write an expression to represent the discounted price of the phone including tax.
The price of phone is stated, taking the price of the phone as p and the discount on sale as 20%
Answer:
0.848p
Step-by-step explanation:
Price of phone = p
Sales tax = 6%
Discount on sale = 20%
With a 20% discount, the discounted price of the phone will be :
100%p - 20%p = 80%p = 0.8p
The sales tax will increase the price thus ;
0.8p + 6% of 0.8p
0.8p + 0.06 * 0.8p
0.8p + 0.048p
The cost of the phone including tax becomes ; (0.8p + 0.048p) = 0.848p
HELP ME ASAP NO LINKS
Which student's expression results in a quotient of 12.5?
KWAN
VERA
16.25 : 1.3
- 11.25 = (-9)
Mark only one oval.
0000
a. Kwan's only
b. Vera's only
c. Both Kwan and Vera's
d. Neither Kwan nor Vera's
Answer:
I wanna say its B. Vera's only