Answers
Answer:
n = 25°
Step-by-step explanation:
All interior angles of a triangle add up to 180°. We already know one of the angles is 90°, so we can build an equation:
90 + (n + 40) + n = 180.
Then we combine like-terms and subtract:
130 + 2n = 180,
2n = 50.
Then we divide by 2 to get our answer:
n = 25.
To double check, we insert 25 as our value:
90 + (40 + 25) + 25 = 180.
Related Questions
What is the slope of the line?
Answers
Answer:
5/3
Step-by-step explanation:
it should be y/x
you can count 5 up and 3 over
Answer:
8/5
Step-by-step explanation:
You can use the formula [tex]\frac{y_{1}-y_{2}}{x_{1}-x_{2}}[/tex] with a pair of points [tex](x_{1},y_{1})[/tex][tex](x_{2},y_{2})[/tex]. We can use points (1,4) and (-4,-4). Plugging in the equation we get (4-(-4))/(1-(-4)), which simplifies to 8/5, which is the slope.
Lewis Hamilton completed the first lap at the Monaco Grand-Prix with an average speed of 125 mi/h. His goal is to complete the first two laps with an average speed of 250 mi/h. How fast (in terms of average speed) should his second lap be?
Answers
Answer:
infinitely fast
Step-by-step explanation:
To have double the average speed, he must complete the two laps in the same amount of time that he spent completing the first lap. That is, he must complete the second lap in zero time.
Hamilton's average speed for the second lap should be infinite. (He needs to finish it in zero time.)
_____
speed = distance/time
Multiplying by 2, we get ...
2×speed = 2×distance/time . . . . . the time hasn't changed
Simplify: (2 cot(−240°)cos(-1050°)− cot^2(50°)) / (sec^2(40°))
Thanks! (:
Answers
Answer:
\frac{2\cot \left(-240^{\circ \:}\right)\cos \left(-1050^{\circ \:}\right)-\cot ^2\left(50^{\circ \:}\right)}{\sec ^2\left(40^{\circ \:}\right)}
Step-by-step explanation:
ok
Alex, Toby and Samuel are playing a game together.
At the end of the game, they will make a classification with one of them in First
place, one of them in Second place and one of them in Third place.
Work out how many possible outcomes there could be at the end of their game.
Answers
The number of possible outcomes there could be at the end of their game is 6 outcomes
This is a permutation problem since it required arrangement
If Alex, Toby, and Samuel are playing a game together and at the end, they will make a classification with one of them in first place, one of them in Second place and one of them in Third place, this can be done in 3! ways
Since n! = n(n-1)(n-2)!
Hence 3! = 3(3-1)(3-2)
3! = 3 * 2 * 1
3! = 6 ways
Hence the number of possible outcomes there could be at the end of their game is 6 outcomes
Learn more here: https://brainly.com/question/24115376
Thuy is substituting t = 3 and t = 8 to determine if the two expressions are equivalent.
Answers
Answer:
The expressions are not equivalent.
Step-by-step explanation:
The answers would be 196 and 193 for t = 8
The answers would be 76 and 73 for t = 3
How did the temperature change if: at first it decreased by 10 % and then decreased by 30% ?
Answers
Answer:
We decreased by 37%
Step-by-step explanation:
Let x be the starting temperature
We decrease by 10 percent which means we are left with 100-10 =90 percent
.90 x
Then we decrease by 30 percent, 100 - 30 = 70
( .90x) * .70
.63x
We have .63 of the original left or 63%
100 -63 = 37
We decreased by 37%
Answer:
37% and it decreased
Step-by-step explanation:
URGENT HELP NEEDED! YOU WILL GET BRAINLIEST! Convert to a product: cot(α) - 1
Answers
Answer:
WHAT
Step-by-step explanation:
please help for math
Answers
Answer:
2.35 m²
Step-by-step explanation:
Divide the shape into shapes you can calculate the area of: a rectangle with a semi-circle on top, minus a square.
1. Calculate the area of the rectangle. Formula for area of a rectangle is length · width
1 m · 2 m = 2 m²
2. Calculate the area of the semi-circle. Formula for a semi-circle is [tex]\frac{\pi r^{2} }{2}[/tex] (use 3.14 for π) (radius is equal to half the diameter)
3.14(0.5)² = 0.785
0.785 ÷ 2 = 0.3925 m²
3. Combine the total area
2 + 0.3925 = 2.3925
4. Calculate the area of the square that will not be painted. Formula for area of a square is s² (side · side)
0.2² = 0.04 m²
5. Subtract the area of the square from the total area
2.3925 - 0.04 = 2.3525
2.3525 rounds to 2.35 m²
Find the missing side lengths. Leave your answers as radicals in simplest form.
ANSWER QUICK
Answers
Answer:
C
Step-by-step explanation:
It is an iscoceles triangle because there are 180 degrees in a triangle and the right angle plus the 45 degree equals 135 and 180 minus 135 is 45.
Since it is an iscoceles triangle that means that n = 3 and the pythagorean theorom says that a^2 + b^2 = c^2 which means that m = 3^2 plus 3^2 with a root.
3^2 is 9 so you get 18
the root of 18 is infinite, however can be simplified to 3 root to 2 because 3 times 3 equals 9 times 2 equals a root of 18
Hope this helps!
NEED HELP ASAPPP!!! Drag each scenario to show whether the final result will be greater than the original
value, less than the original value, or the same as the original value.
1. A $30 increase followed by a $30 decrease
2. A 20% decrease followed by a 40% increase
3. A 100% increase followed by a 50% decrease
4. A 75% increase followed by a 33% decrease
5. 55% decrease followed by a 25% increase
Answers
Answer:
Greater than the original = 2, 4
Less than the original = 5
Same as the original = 1, 3
Step-by-step explanation:
Let the original value be x.
1. A $30 increase followed by a $30 decrease.
New value [tex]=x+30-30=x[/tex], it is same as original value.
2. A 20% decrease followed by a 40% increase.
Afer 20% decrease.
New value [tex]=x-\dfrac{20}{100}x=x-0.2x=0.8x[/tex]
Afer 40% increase.
New value [tex]=0.8x+\dfrac{40}{100}(0.8x)=0.8x+0.32x=1.12x[/tex], it is greater than original value.
Similarly check the other values.
3. A 100% increase followed by a 50% decrease.
New value [tex]=x+\dfrac{100}{100}x-\dfrac{50}{100}(x+x)=x[/tex], it is same as original value.
4. A 75% increase followed by a 33% decrease
New value [tex]=x+\dfrac{75}{100}x-\dfrac{33}{100}(x+0.75x)=1.1725x[/tex], it is greater than the original value.
5. 55% decrease followed by a 25% increase
New value [tex]=x-\dfrac{55}{100}x+\dfrac{25}{100}(x-0.55x)=0.5625x[/tex], it is less than the original value.
Therefore, Greater than the original = 2, 4, Less than the original = 5, Same as the original = 1, 3 .
A 100% increase followed by a 50% decrease
A $30 increase followed by a $30 decrease
Less Than The Original:55% decrease followed by a 25% increase
Greater Than The Original:A 20% decrease followed by a 40% increase
A 75% increase followed by a 33 1/3% decrease
The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4).
Answers
Answer:
Step-by-step explanation:
R is between (-3) & (-4)
So, R = - 3.5
Answer:
Step-by-step explanation:
R= -3.5
Determine the measure of obtuse angle A. answers: A) 130° B) 122° C) 58° D) 7°
Answers
Answer:
B) 122 degrees.
Step-by-step explanation:
Consider the kite :- the 2 angles at the tangents are 90 degrees so we have:
9x - 5 + 14x + 24 + 90 + 90 = 360
9x - 5 + 14x + 24 = 180
23x + 19 = 180
23x = 161
x = 7
So the obtuse angle = 14(7) + 24
= 98 + 24
= 122 degrees.
Determine the approximate area of a sector with a central angle of 75° and a radius of 14 yards. Question 16 options: A) 9.2 yards2 B) 128.3 yards2 C) 40.8 yards2 D) 0.21 yards2
Answers
Answer:
B) 128.3 square yards
Step-by-step explanation:
A = (n/360 deg)(pi)r^2
where n = central angle of sector.
A = (75/360)(3.14159)(14 yd)^2
A = 128.3 yd^2
Answer:
B. 128.3 yards
Step-by-step explanation:
Area of a Sector Formula: A = ∅/360πr²
Simply plug in our variables:
A = 75/360(π)(14)²
A = 5π/24(196
A = 128.3
I NEED HELP ASAP!!!!! WILL MARK BRAINLIEST!!!!!!
Answers
Answer: 16
Step-by-step explanation:
The 7 and the 9.
Look closely
If sin(21°) = 0.36, and cosθ = 0.36, what's the measure of ∠θ? ANSWERS: A) m∠θ = 21° B) m∠θ = 0.36° C) m∠θ = 90° D) m∠θ = 69°
Answers
Hey there! :)
Answer:
m∠θ = 69°.
Step-by-step explanation:
If sin (21°) = 0.36 and cos θ = 0.36, the two angles are complementary because the sine and cosine values are equivalent. Therefore:
90 - 21 = 69°.
The correct answer is D) m∠θ = 69°.
*ANSWER ASAP PLS* Lucy is covering a box with fabric for a craft festival. If the box is an 8-inch cube, how much fabric does she need? a.)252 sq.in. b.)384 sq.in. c.)240 sq.in.
Answers
Answer: b) 384 sq. in.
Step-by-step explanation:
Surface area of cube = 6a^2
= 6 (8)^2
= 6 x 64
= 384 sq. in.
The area of one square on the cube is 8*8=64
There are 6 faces, so 6*64=384
Question 19 of 25
2 Points
If a circle is inscribed in a square, which of the following must be true? Check
all that apply.
A. Each vertex of the square lies inside the circle.
B. The circle is tangent to each side of the square.
o C. The square is circumscribed about the circle.
O D. Each vertex of the square lies outside the circle.
O E. The circle is congruent to the square.
SUBMIT
Answers
Answer:
Correct Answers: D,C,B
Step-by-step explanation:
I took the test and got these as the right answers Hope this helped if not I tried
< B is opposite
А. АС
B. AB and BC
C. BC
D. ZC
E. AB
F. ZA
Answers
The angle ∠B is opposite AC in the triangle.
Option A is the correct answer.
We have,
From the triangle,
There are three angles:
∠A, ∠B, and ∠C.
And,
The sides opposite to each angle are:
AC is opposite ∠B
AB is opposite ∠C
BC is opposite ∠A
Thus,
The angle ∠B is opposite AC in the triangle.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
A rectangular carton has twice the height, one-
third the length, and four times the width of a
second carton. The ratio of the volume of the
first carton to that of the second is
A)16:3
B)3:1
C)8:3
D)3:8
Answers
What are the zeros of f(x) = x2 + x - 30?
O A. x= -6 and x = 5
B. x= -2 and x= 15
o
C. x= -5 and x = 6
D. x= -15 and x = 2
SS
Answers
Answer:
A
Step-by-step explanation:
The zeroes of the function are the x values when f(x) = 0 so we can write:
0 = x² + x - 30
0 = (x + 6)(x - 5) (To factor this we need to find 2 numbers that have a sum of 1 and a product of -30; these numbers are 6 and -5)
x + 6 = 0 or x - 5 = 0 (Use Zero Product Property)
x = -6, 5
Hey there! :)
Answer:
A. x = -6 and x = 5.
Step-by-step explanation:
Given:
f(x) = x² + x - 30
Factor the equation by finding two numbers that sum up to 1 and multiply into -30. We get:
-5, 6
Use these to express this quadratic function in factored form:
f(x) = (x - 5) (x + 6)
Set each factor equal to 0 to solve for the zeros of the equation:
0 = x - 5
x = 5
-------------
0 = x + 6
x = -6
Therefore, the correct answer is A. x = -6 and x = 5.
which mathematical operation is represented in the phrase "15 more than q"
A) +
B) ×
C) ÷
D) -
Answers
Answer:
[tex]\boxed{OptionA}[/tex]
Step-by-step explanation:
More than always indicates "ADDITION". So the mathematical operation is "+".
Answer:
A. +
Step-by-step explanation:
The key word in the phrase is "more than"
That signifies an increase of value which is addition's main function
If the number that was represented in the phrase is x, then we could write out an equation
x=q+15
plz help!!
will give the brainliest!!
Answers
Answer:
x = 3
Inverse matrix:
[tex]A^{-1} = \begin{pmatrix} \frac{1}{9} & \frac{2}{9} \\ \frac{1}{3} & -\frac{1}{3} \end{pmatrix} \quad[/tex]
Step-by-step explanation:
Determinant: ad - bc
a = 3, b = 2, c = 3, d = -1
3 * (-1) - (2 * x) = -9
-3 - 2x = -9
-2x = -6
x = 3
For matrix
[tex]A = \begin{pmatrix}a & b\\c & d\end{pmatrix} \quad[/tex]
the inverse is
[tex]A^{-1} = \dfrac{1}{ad - bc}\begin{pmatrix}d & -b \\-c & a\end{pmatrix}\quad[/tex]
Here we have: det = -9
a = 3, b = 2, c = 3, d = -1
Inverse matrix:
[tex]A^{-1} = \dfrac{1}{-9}\begin{pmatrix} -1 & -2 \\ -3 & 3 \end{pmatrix}\quad[/tex]
[tex]A^{-1} = \begin{pmatrix} \frac{-1}{-9} & \frac{-2}{-9} \\\frac{-3}{-9} & \frac{3}{-9}\end{pmatrix} \quad[/tex]
[tex]A^{-1} = \begin{pmatrix} \frac{1}{9} & \frac{2}{9} \\\frac{1}{3} & -\frac{1}{3}\end{pmatrix}\quad[/tex]
x=3
thank you for your time
The expression 14s(s - 1) can be used to find
the total number of cards created by the ninth
grade students. Based on the given information,
which of the following statements must be true?
Select all that apply.
Answers
Answer:
B. The variable s represents the number of students in each class.
C. The coefficient 14 represents the number of classes in the 9th grade.
Step-by-step explanation:
The total number can be found by multiplying the number of the things with the number of people producing it. For example if 5 boys make 5 colored ropes the total number of ropes will be 5*5= 25.
In this question the combinations rule is used for variuos number of classes which are 14. Now we have to find the number of students which are s (s-1). Suppose s= 6 so the number of students would be 6(6-1) = 6(5) = 30
We will multiply the number of classes 14 with the number of students s(s-1) to get the total number of cards produced.
The points in a plane in a fixed distance from a given point
is called a circle. What is the fixed distance called?
a. chord
b. radius
c. diameter
d. not given
Answers
Answer:
radius
Step-by-step explanation:
That "fixed distance" is the 'radius' of the circle.
how would i do number 2?
Answers
Answer:
m=2
Step-by-step explanation:
When you put a number into the inverse of a function (f^-1) you get the original number back.
Ex: f^-1(11) = (11-3)/2 = 4
f(4) = 2×4+3 = 11
So, f(-5)=-2
So, when x is -5,
f(x) = -2
f(x)=m(-5)+8
-2=m(-5) + 8
m=2
the points plotted below are on the graph of a polynomial. How many roots of the polynomial lie between x=-4 and x=3
Answers
Answer:
1 zero: Answer C
Step-by-step explanation:
Keep in mind that the polynomial value is zero at any root. Therefore each point that is a root must lie precisely on the x-axis (where y = 0). In the graph given there is only one such point (Answer C)
box plots show the data distributions for the number of customers who used a coupon each hour during a two-day sale. Which measure of variability can be compared using the box plots? interquar
Answers
Answer:
A. Interquartile
Step-by-step explanation:
Answer:
A: interquartile range
Step-by-step explanation:
edg2020
Quinn makes 6 free throws, and Sam makes 3 free throws. what is the ratio?
Answers
Answer:
6:3
Step-by-step explanation:
the ratio of Quinn's throws to Sam's throws would be 6:3
Answer:
2:1
Ratio of Quinn's free throws to Sam's free throws
What is a number of subsets for the set which contains the 10 elements.
Answers
Answer:
The number of subsets of a set containing 10 elements is 2^10=1024.
Step-by-step explanation:
What is the factored form of 125a6-64?
Answers
Answer:
(5a^2-4)*(25a^4+20a^2+16)
Step-by-step explanation:
Answer:
Its B, (5a^2-4)(25a^4+20a^2+16)
Step-by-step explanation:
Edge 2020