Answer:
x = 135,
y = 45
Step-by-step explanation:
45 and y are vertical angles. That means they are equal
y = 45
45 and x form a straight line which means they sum to 180
45+x = 180
Subtract 45 from each side
45+x-45 =180-45
x = 135
What is the approximate area of the shaded sector in the circle shown below?
A. 31.7 cm^2
B. 5.76cm^2
C. 2.88cm^2
D. 126.7cm^2
Answer:it’s 31.7 cm^2
Step-by-step explanation:
The approximate area of the shaded sector is 31.7 cm² (Option A).
To find the area of the shaded sector, we need to calculate the fraction of the entire circle that the sector represents and then multiply it by the area of the whole circle.
The formula to find the area of a sector is given by:
Area of sector = (θ/360) * π * r²
where θ is the central angle and r is the radius of the circle.
In this case, the radius (r) of the circle is given as 11 cm, and the central angle (θ) is given as 30 degrees.
Let's calculate the area of the shaded sector:
θ = 30 degrees
r = 11 cm
Area of sector = (30/360) * π * 11²
= (1/12) * π * 121
= π * 10.0833...
Now, we can approximate the value of π as 3.14:
Area of sector ≈ 3.14 * 10.0833...
≈ 31.7 cm²
Therefore, the approximate area of the shaded sector is 31.7 cm².
The correct option from the given choices is A. 31.7 cm².
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Divide x³+x²+x+1 by x+1
Answer:
x^2+1
Step-by-step explanation:
x^3+x^2+x+1 / x+1
=(x+1)(x^2+1) / x+1
reduce (x+1) and x+1 and you will get x^2+1
Marquis wrote the linear regression equation y=1.245x-3.685 to predict the cost, y, of x songs purchased. Which is the best estimate of number of songs that marquis purchased?
The complete question is;
Marquis wrote the linear regression equation y = 1.245x - 3.685 to predict the cost, y, of x songs purchased. Marquis spent $40 on songs. Which is the best estimate of the number of songs that Marquis purchased?
Answer:
The best estimate of the number of songs that Marquis purchased = 35 songs
Step-by-step explanation:
First of all, let's make x the subject of the linear regression equation.
We are given that,
y = 1.245x - 3.685
So,
1.245x = (y + 3.685)
x = (y + 3,685) / (1,245)
We are told that Marquis spent $40 on songs.
Thus;
Substituting the value of $40 for y into the equation to get;
x = (40 +3,685)/(1,245)
x = 35.09
x ≈ 35
Thus, the best estimate of the number of songs that Marquis purchased is 35
Answer:
the number of songs that Marquis purchased is 35
What is the value of x?
Answer:
x=3
Step-by-step explanation:
4x = 2x + 6
-2x -2x + 6
2x = 6
x = 3
Answer: 56° and 34°
Step-by-step explanation: Well we know this is a complementary angle and if two angles are complementary, then the sum of their measures is 90 degrees.
If these two angles have to add together to be 90 degrees, we can use that fact to set up our equation. We can say that 4x + (2x + 6) = 90.
Simplifying from here, we have 6x + 6 = 90.
Subtracting 6 from both sides, we have 6x = 84.
Dividing both sides by 6, we find that x = 14.
Now, remember that these should add up to 90 degrees.
We can check by substituting the value that we just found back in for x to check our angles. If they add to 90 degrees, we did it correctly.
So for the first one we have 4(14) which is 56 and for the next one we have 2(14) + 6 or 28 + 6 which simplifies to 34.
Now adding, 56 + 34 gives us 90.
So, we know that these are the correct measures.
A triangle has sides with lengths of 8 centimeters, 14 centimeters, and 16 centimeters. Is it a right triangle?
Answer:
No, the triangle is not a right triangle
Step-by-step explanation:
In this question, we are asked to determine if the triangle having the lengths given in the question is a right triangle.
To answer this question, we need to take into consideration a very important property of right angle triangles.
The property is that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two other sides
The hypotenuse is the one with the longest length. Thus, the hypotenuse here is 16 centimeters.
Now let’s have the squares!
The square of the hypotenuse is 16 * 16 = 256
Let’s sum the squares of the other two sides;
(8 * 8) + ( 14 * 14) = 64 + 196 = 260
These squares are not equal so we can conclude that the triangle is not a right triangle
Find the value of k ,if x=2 and y=3.Find the equation of 2x+3y=k
Answer:
k=13
Step-by-step explanation:
substitute x and y
4+9=k
k=13
Answer:
13
Step-by-step explanation:
Plug in the given x and y values: 2(2) + 3 (3) = k
Then multiply 4 + 9 = k
Then add 13 = k
In ΔMNO, the measure of ∠O=90°, MN = 9 feet, and OM = 4.2 feet. Find the measure of ∠N to the nearest degree.
Answer:
The measure of angle N to the nearest degree is 28 degrees
Step-by-step explanation:
To answer this question, we shall be needing a diagrammatic representation of the triangle. Please check attachment for this.
To calculate the angle N, we shall be making use of trigonometric identities. From the diagram we see that we have the hypotenuse ( the longest side and the side facing the angle 90) and also the opposite ( the side facing the angle N)
Thus, the correct trigonometric identity to use here is the Sine
Mathematically, the sine of an angle = length of the opposite/length of the hypotenuse
Our opposite here is 4.2 feet with our hypotenuse as 9 feet
Plugging these values, we have
Sin N = 4.2/9
Sin N = 0.46666667
N = arc sin (0.46666667)
N = 27.82 , to the nearest degree we have 28 degrees
Answer:
28°
Step-by-step explanation:
:)
If point (3,-3 above is refected across the xaxis, what would be the cordinates of the reflection? Explain
Can you help me find x?
Answer:
Im 99 percent sure its b or c
Step-by-step explanation:
but wait for the other kid to answer
Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point?
A.
y = 100x + 3.5
B.
y = 100x – 3.5
C.
y = 50x + 3.5
D.
y = -50x + 3.5
what is surface area?
What is the surface area of the prism
A. 812
B. 1,190
C. 2,352
D. 132
Answer:
B. 1,190 square cm
Step-by-step explanation:
For given prism:
l = 16 cm, w = 7 cm, h = 21 cm
Surface area of of the prism
[tex]= 2 (lw + wh + hl) \\ = 2(16 \times 7 + 7 \times 21 + 21 \times 16) \\ = 2(112 + 147 + 336) \\ = 2 \times 595 \\ = 1190 \: {cm}^{2} \\ [/tex]
Maya has $270. She spends one third on shoes and buys 3 shirts for $12. She spends the remaining amount to buy dresses for $32 each. Determine the number of dresses she buys?
Answer: 4 dresses
Step-by-step explanation:
Hope you get it right!
PLEASEEE HELPPPP MEE WITH LINE PLOTSSS I DONT UNDERSTAND THISSSS
PLEASEE HELPPPP!!!!!!!
Answer:
Look at the lightest loaf of bread. It weighs 22 1/3 oz. The heavist loaf weighs 24 1/2. Subtract 24 1/2 and 22 1/3. Then, if the answer to that is 1 1/2 ounces then you agree. If it is not, then disagree. Then, add up all of the weights of the bread and find the answer.
What is the base 8 representation of the number 600?
Answer:
1130
Step-by-step explanation:
8x75=600
8÷9=72+3
8×1=8+1=9
8×1+1=9
Answer:1130^8
Step-by-step explanation:trust me bro
Which point is located at (Negative 1, 1 and one-fourth)?
Answer:
(-1, 1 1/4) or (-1, 1.25)
Step-by-step explanation:
Answer:
Its A
Step-by-step explanation:
In a quadrilateral, the measure of two opposite angles is the same. Each of the other
two angles measures exactly two times the given angle. Find the measure of each angle
in the quadrilateral.
Answer:
the two opposite angles equal 45 and the other two who are twice the amount is 90
Step-by-step explanation:
sum of angles in a quadrilateral is 360. Lets name the two equal diagonal angles x that means the equation wil be
x+x+2x+2x=360
8x=360
x=45
so the equal diagonal ones will be 45 and the other two angles will be twice as much so 45x2=90
PLZ HELP IM TIMMED The following sets of numbers are possible side lengths of a triangle. Which of the following sets forms a Pythagorean triple?
18, 24, 42
45, 28, 53
15, 30, 45
33, 77, 22
Answer:
Test each set of lengths using Pythagoras' Theorem. Is a2+b2=c2?
Step-by-step explanation:
Answer:
You have to see each one and do the formula, a^2*b^2= c^2, then under'root the c^2 to become c
The area of a rectangular baking sheet is 25 square inches. The base of the sheet is 10 inches. What is the height?
2 and one-half in.
3 in.
3 and one-half in.
250 in.
Answer:
2 1/2
Step-by-step explanation:
take 25 and divide it by 10 giving you 5/2 but that equals 2.5 and 2.5 equals 2 1/2
Find the value of x in these right-angled triangle, correct two decimal places A=20 B=7
Answer:
There are two possibilities: 1) A is the hypotenuse: [tex]C \approx 18.74[/tex], 2) A is not the hypotenuse: [tex]C \approx 21.19[/tex]
Step-by-step explanation:
Let be C the remaining side of the triangle. Given that triangle is right-angled and the remaining side can be found by Pythagorean Theorem, there are two options by using the two known sides:
1) A is the hypotenuse
[tex]20^{2} = 7^{2} + C^{2}[/tex]
[tex]C^{2} = 20^{2}-7^{2}[/tex]
[tex]C = \sqrt{20^{2}-7^{2}}[/tex]
[tex]C \approx 18.74[/tex]
2) A is not the hypotenuse
[tex]C^{2} = 20^{2} + 7^{2}[/tex]
[tex]C = \sqrt{20^{2}+7^{2}}[/tex]
[tex]C \approx 21.19[/tex]
WILL MARK BRAINLIEST!!
The volume of a cylinder is 1,386 m3 and its radius is 7 m. What is its height to the nearest whole number?
Answer:
h = 9
Step-by-step explanation:
[tex]volume = \pi \: {r}^{2} h \\ 1,386 = \frac{22}{7} \times 7 \times 7 \times h \\ 1,386 = 154 \times h \\ h = \frac{1,386}{154} \\ h = 9[/tex]
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Answer:
D.
Step-by-step explanation:
So find what two numbers multiply to 72 and add up to 17
9 and 8
(z + 9)(z + 8)
Answer:
D. (z + 9)(z + 8)
Step-by-step explanation:
Let's factor z2+17z+72
z2+17z+72
The middle number is 17 and the last number is 72.
Factoring means we want something like
(z+_)(z+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 17
Multiply together to get 72
Can you think of the two numbers?
Try 8 and 9:
8+9 = 17
8*9 = 72
Fill in the blanks in
(z+_)(z+_)
with 8 and 9 to get...
so (z + 9)(z + 8)
Question 11 (1 point)
Identify the literary device being used - "It's so delightful to be home with a sick child twice in one week."
Blank 1:
Answer:
no clue bud
Step-by-step explanation:
Which table could be used with Table A to verify that the function modeling Fahrenheit temperature, F(C), based on a given Celsius temperature, C, is the inverse of C(F)?
Answer:
Its A
Step-by-step explanation:
c=-20, -15, -5
f(c)=-4,5,23
gl with your test or quiz
Answer: its A
Step-by-step explanation:
If there are 3 classrooms that each have 25 desks and there are a total of 87 students, how many more desks need to be added to a 4th classroom, that was originally empty, so that each of the students has a desk to sit in?
Answer:
12
Step-by-step explanation:
If there are 3 classrooms that each have 25 desks and there are a total of 87 students, how many more desks need to be added to a 4th classroom, that was originally empty, so that each of the students has a desk to sit in?
25 * 3 = 75
87 - 75 = 12
Find an equation, in slope-intercept form, that passes through the point (−4,3) with a slope of −3.
Answer:
y = -3x - 9
Step-by-step explanation:
Equation of line in point slope form is given as:
[tex]y - y_1 = m(x-x_1) \\
y - 3= - 3\{x - (-4)\}\\
y - 3 = - 3(x + 4)\\
y =- 3x - 12 +3\\
y = - 3x - 9\\ is \: the \: required \: equation \\ [/tex]
Mariya was asked to solve StartFraction a over negative 13 EndFraction less-than-or-equal-to negative 16 and then graph the solution. Her work is shown below. Step Mariya’s work StartFraction a over negative 13 EndFraction less-than-or-equal-to negative 16 Step 1 (Negative 13) StartFraction a over negative 13 EndFraction less-than-or-equal-to negative 16 (negative 13) Step 2 a greater-than-or-equal-to 208 Step 3 A number line going from 205 to 211. An open circle is at 208. Everything to the right of the circle is shaded. In which step, if any, did Mariya make a mistake in her work? Step 1 Step 2 Step 3 No mistake found
Answer:
the answer is step 3 because the circle on the number line is open.
pls make mine as the Brainliest answer that would really help
Mariya's mistake in solving the inequality and plotting the number line is in step 3
How to determine the mistake in the step?The inequality is given as:
[tex]\frac{a}{-13} \le -16[/tex]
Multiply both sides of the inequality by -13
[tex]a \ge 208[/tex]
The above means that the solution to the inequality are numbers greater than or equal to 208.
This means that we make use of a closed circle
In step 3 of Mariya's solution, the number line uses an open circle
Hence, Mariya's mistake is in step 3
Read more about inequality at:
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Laura drives a garbage truck that weighs 3 tons. She picked up 2 tons of recyclables. What is the total weight in pounds of the garbage truck and recyclables?
Answer:
Step-by-step explanation:
Total weight=The garbage truck weight + recyclables weight =3 tons + 2 tons = 5 tons
Answer: 5
Step-by-step explanation:
3+2=5
Which best describes the transformation that occurs from
the graph of f(x) = x² to g(x)=(x-2)²+3
Answer:
The graph changes from the original position to right 3 units and down 1 unit.
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
there are 18 blueberries in a bowl .there are 3 times as many blueberries as strawberries in the bowl.how many strawberries are in the bowl?
Answer:
6
Step-by-step explanation:
Number of blueberries = 18
Number of strawberries = 3 times less than blueberries
Number of strawberries
18/3 = 6Answer: 6 strawberries