Answer:
In radian :
[tex]\frac{\pi }{4} \ \text{and}\ \frac{5\pi }{4}[/tex]
In degree :
45° and 225°
Step-by-step explanation:
the x and y coordinate on the unit circle exactly the same at the angles :
In radian :
[tex]\frac{\pi }{4} \ \text{and}\ \frac{5\pi }{4}[/tex]
In degree :
45° and 225°
At those angles :
[tex]\left( x,y\right) =\left( \frac{\sqrt{2} }{2} ,\frac{\sqrt{2} }{2} \right) \ or\ \left( x,y\right) =\left( -\frac{\sqrt{2} }{2} ,-\frac{\sqrt{2} }{2} \right)[/tex]
The cost of renting a moving truck is given by C = 40 + 0.99m , where C is the total cost in dollars and m is the number of miles driven. What does the 40 in the equation represent?
The 40 in the equation C = 40 + 0.99m represents a fixed cost that is independent of the number of miles driven (m).
What is an Equation ?An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.
For example, 3x+2y=0.
This fixed cost is a base fee that the rental company charges for the rental of the moving truck, regardless of how many miles the truck is driven.
In this equation, the 40 is a constant term that adds to the cost of the rental, and it represents the cost of the truck rental without taking into account the distance driven.
The 0.99m term represents the additional cost per mile driven, and it increases with the number of miles driven.
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Grayson was given a large box of 42 chocolates for his birthday. If he eats exactly 2 chocolates each day, how many chocolates would Grayson have remaining 15 days after his birthday?
Answer:
12
Step-by-step explanation:
Let's write this in ratio form.
Days : Chocolates
1 : 2
15 : 30
So, he would eat 30 chocolates in 15 days. To find the remaining ones, we will subtract from the total of the chocolates given.
Chocolates = 42 - 30
= 12
Oliver draws a straight angle, and then two rays to divide the angle into 3 equal parts. What is the measure of each smaller angle?
The measure of each smaller each angle is 30 degrees.
We have given that,
Oliver draws a straight angle, and then two rays to divide the angle into 3 equal parts.
What is the measure of the straight angle?The measure of the straight angle is 90 degrees.
Therefore we get a straight angle is 90 degrees.
we have to divide the straight angle into 3 equal parts.
that is, 90/3=30
Therefore each angle is 30 degrees.
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What is the value of h?
whats 40 + 40 + 40 X 2
Answer:
160
Step-by-step explanation:
40 + 40 + 40 X 2=160
This is the answer
Ella ate half of her gummy bears before
adding thirteen more to the bowl. If she now
has 25 gummy bears, how many did she start
with?
Give an equation.
Find the component form of the resultant vector.
a= (-6, -5)
Unit vector in the opposite direction of a
Answer:
-6
Step-by-step explanation:
A vector is defined as having a magnitude of 15 m and a direction of East. Multiply this vector by the scalar value of –6.
Can somebody give me the answer to this?
Step-by-step explanation:
y = x - 4
Let's look at this a different way.
Y will be 4 less than x, so if x was 5, y would be 1
(x, y)
0, -4
1, -3
2, -2
3, -1
4, 0
5, 1
(If more points are needed, just continue where I left off.)
solve for g:2(g-h)=b+4
Answer:
[tex]g = \frac{b}{2} + 2 + h[/tex]
Step-by-step explanation:
[tex]2(g - h) = b + 4 \\g - h = \frac{b}{2} + \frac{4}{2}\\g = \frac{b}{2} + 2 + h[/tex]
Tyler made a scale drawing of his apartment. The scale is 1 millimeter: 2 meters. The living room is 6 meters long in real life. How long is the living room on the drawing in millimeters?
Answer:
Step-by-step explanation:
6/2 = 3
3:6 =
1:2
Each day, a salesperson earns $25 plus 5% of their total sales for the day. The salesperson's goal is to earn more than $50 on Thursday.
what is x/ solve for x 3x + 22
Answer:
Step-by-step explanation:
3x + 22 = 0
-22 -22
3x = -22
-- ---------
3 3
x = -22
---
3
Given: ABCD is a parallelogram.
Prove: ∠A ≅ ∠C and ∠B ≅ ∠D
Parallelogram A B C D is shown.
By the definition of a ▱, AD∥BC and AB∥DC.
Using, AD as a transversal, ∠A and ∠
are same-side interior angles, so they are
. Using side
as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. Using AB as a transversal, ∠A and ∠B are same-side interior angles, so they are supplementary.
Therefore, ∠A is congruent to ∠C because they are supplements of the same angle. Similarly, ∠B is congruent to ∠
answers: d, supplementary, bc, d
Answer:
E2020
Step-by-step explanation:
Answer:
d, supplementary, bc, addition
Step-by-step explanation:
can anyone pls help?
Answer:
Yes!!
Step-by-step explanation:
It is because -4 is smaller than 3. All negative numbers are smaller than positive ones. :)
Have an amazing day!!
Please rate and mark brainliest!!
Which expressions are listed in the simplest form? Check all that apply.
Samantha is trying to pick out an outfit for the first day of school. She can choose from 2 pairs of pants, 2 t-shirts, and 9 pairs of shoes. How many different outfits does Samantha have to choose from?
Using the Fundamental Counting Theorem, it is found that Samantha has 36 different outfits to choose from.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
For the pants, there are 2 options, hence [tex]n_1 = 2[/tex].For the t-shirts, there are 2 outcomes, hence [tex]n_2 = 2[/tex].For the shoes, there are 9 outcomes, hence [tex]n_3 = 9[/tex].Thus, the total number of outfits is given by:
N = 2 x 2 x 9 = 36.
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Which expression is equivalent to 15 + 3x?
A. 3(5+x)
B. 5(3+x)
C. 3(5+3x)
D. 5(3+3x)
Answer:
3(5+x)
Step-by-step explanation:
3(5 + x)
Answer:
See below ~
Step-by-step explanation:
Taking common factors
Factorize both the terms.
15 = 3 * 53x = 3 * xThe common factor is 3.
Now, group them together and solve.
15 + 3x3(5 + x)Option AI really need help right now
Answer:
true
Step-by-step explanation:
bc my brain is right ( BTW i got my dad to check :>)
please answer/fix these questions
Ms. Lance is planning a birthday party. She decided that she
would spend no more than $I20 to buy a cake and balloons.
If the price of the cake is $45 and each balloon costs $15.
how many balloons can she buy?
Need the inequality and equality answer, and final answer
Answer:
The answer is 3
Step-by-step explanation:
You have to subtract 120-45 and that gets you to 75 Then divide 75 by 15 and that gives you 3. So the answer is 3
Answer:
15n + 45 ≤ 120
n ≤ 5
She can buy up to 5 balloons.
Step-by-step explanation:
Fixed amount: $45
Amount per balloon: $15
Let n = number of balloons
Total expense: maximum of $120, which means less than or wequal to $120
15n + 45 ≤ 120
15n ≤ 75
n ≤ 5
She can buy up to 5 balloons.
What is the greatest number of lines of symmetry that can be drawn on the figure
shown below?
А о
B 1
C 2
D 4
The greatest number of lines of symmetry that can be drawn on the figure will be C. 2.
What is a line of symmetry?The line of symmetry is defined as the axis or imaginary line that passes the center of the shape or object and divides it into identical halves.
Here, the greatest number of lines of symmetry that can be drawn on the figure will be 2. This means that if one was to fold the shape along the line, both halves would match exactly.
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What is the volume of the cone in terms of π ?
[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times height \\ [/tex]
[tex]v = \frac{1}{3} \times \pi \times {2}^{2} \times 6 \\ [/tex]
[tex]v = \frac{24}{3} \pi \\ [/tex]
[tex]v = 8\pi \: \: \: {in}^{3} [/tex]
In how many distinguishable ways can the letters of the word ILLINOIS
be ordered?
Answer:
3360 ways
Step-by-step explanation:
ABCDEFGH-- there are 8! ways to organize these letters
since the I is repeated 3 times and the L is repeated 2 times we have to divide by (3!*2!)
[tex]\frac{8!}{2!3!}[/tex]=3360
3360
Answer:
7
Step-by-step explanation:
Since the two L’s must be consecutive, we consider them to be a single letter LL. Then the word ILLINOIS has n = 7 letters: 3 I’s, 1 LL, 1 N, 1 O and 1 S. Hence the numbers of ways to permute letters of the word ILLINOIS if the two L’s must be consecutive is: 7!
What is the yield on a corporate bond with a $1000 face value purchased at a discount price of $925, if it pays 6% fixed interest for the duration of the bond?
For a $1000 face value purchased at a discount price of $925, if it pays 6% fixed interest for the duration of the bond is the yield on a corporate bond mathematically given as
Yield = 6.5%
What is the yield on a corporate bond?Generally, the equation for the interest paid is mathematically given as
Interest paid = value of bond x Interest rate
Interest paid = 1000 * 6%
Interest paid = 60
Therefore
Yield = Interest paid / Price paid
Yield = (60 / 925)x 100
Yield = 6.5%
In conclusion, the yield on a corporate bond is
Yield = 6.5%
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Pick a square that doesn’t belong with the others and explain why you made your choice
Answer:
8+7
Step-by-step explanation:
8 + 7 does not belong because it is the only one that does not add up to equal 14
If you had a spinner with four possible outcomes and a six sided cube numbered 1-6. What is the sample space for the experiment?
Answer:
24
Step-by-step explanation:
The spinner has 4 equally possible outcomes. The die has 6 equally possible outcomes.
Multiply the possible outcomes.
4*6=24
The area of a gymnasium is 956 yd2. The width of the gymnasium is 4 yd longer than its length. Find the length and width of the gymnasium (round to the nearest yard). Include a labeled diagram in your work for full credit?
Answer:
L = 29
w = 33
Step-by-step explanation:
Area = w × L
= (L + 4) × L
⇔ 956 = L² + 4L
⇔ 956 = (L + 2)² − 4
⇔ 956 + 4 = (L + 2)²
⇔ 960 = (L + 2)²
[tex]\Leftrightarrow L+2=\sqrt{960}[/tex]
[tex]\Leftrightarrow L+2=30.983866769659[/tex]
[tex]\Longrightarrow L+2 \approx 31[/tex]
[tex]\Longrightarrow L \approx 29[/tex]
[tex]\Longrightarrow w=L+4 \approx 29+4\approx33[/tex]
Which of these is NOT likely to be found on your credit report? A) current address B) previous employer C) church membership D) Social Security number
Use the following number line to choose the correct statement.
P + Q > R
P > S - Q
S > R + Q
Answer:
S > R + Q
Step-by-step explanation:
Locations:
P = 0.30
Q = 1.10
R = 2.80
S = 4.40
Statements:
A. P + Q > R
B. P > S - Q
C. S > R + Q
Find the correct statement:
P + Q > R
0.30 + 1.10 > 2.80
1.40 > 2.80
This statement is incorrect
P > S - Q
0.30 > 4.40 - 1.10
0.30 > 3.30
This statement is incorrect
S > R + Q
4.40 > 2.80 + 1.10
4.40 > 3.90
This statement is correct
Therefore, the correct statement is S > R + Q
Hope this helps!
Classify the questions as statistical or not statistical. How many bags do I own? How many cars does each person in my neighborhood own? How many hours do students in my class study every day? How many students in my class own 2 bags? How many hours did Ryan study last Saturday? How many houseplants does each house on my block have? Statistical Questions Not Statistical Questions
Answer:
In order - Not statistical, statistical, statistical, statistical, statistical, statistical
Step-by-step explanation:
A statistical question is one which has answers based on the gathering of data (possibly multiple answers).
A non statistical question is one which requires no data gathering, and has only one answer.