Answers
Answer:
1) x=70
2) x=70
3) x=155
4) x=24
5) x=40
Step-by-step explanation:
1) 180-105=75
alternate interior tells us the top will be 35
180-75-35=70
2) Alternate interior tells us the second angle in the first triangle = 60
180-50-60=70
3) The third angle in the top triangle is found by 180-90-35=55
Using this we can find the top angle of the bottom triangle by 180-60-55=65
Then we can find the bottom angle of the bottom triangle with 180-65-90=25
This means that x=180-25=155
4) The bottom angle on the right is 180-94-41=45
That means that x=180-111-45=24
5) x=180-50-90=40
Related Questions
PLEASE ANSWER ASAPPPPPP! What is the quotient of 6 and -1/2.
Answers
Answer:
-12
Step-by-step explanation:
6 ÷ -1/2
Copy dot flip
6 * -2/1
-12
Place the indicated product in the proper location on the grid. (y x - 5)(y x + 5)
Answers
Answer:
y²x² - 25Step-by-step explanation:
To get the product of the function (y x - 5)(y x + 5), we will have to expand the bracket as shown;
= (y x - 5)(y x + 5)
= (yx)² + 5yx-5yx- 5(5)
= (yx)² + 5yx-5yx- 25
=(yx)² +0- 5(5)
= y²x² - 25
The product is expressed as y²x² - 25
Answer:
The person above me is *almost* right. but the x's are exponents.
Step-by-step explanation:
The right answer is y^2x-25. I hope this helps you! <3
A square with area 4 is inscribed in a square with area 5, with one vertex of the smaller square on each side of the larger square. A vertex of the smaller square divides a side of the larger square into two segments, one of length a and the other of length b. What is the value of ab?
Answers
Answer:
ab = 1/2.
Step-by-step explanation:
The sides of the large square have length √5 while the sides of the small one have sides of length 2.
Each corner has a right triangle with legs of length a and b and hypotenuse 2.
So we have the system
a + b = √5
a^2 + b^2 = 2^2 = 4
Using the identity a^2 + b^2 = (a + b)^2 - 2ab:
4 = (√5)^2 - 2ab
4 = 5 - 2ab
2ab = 5 - 4 = 1
ab = 1/2.
Which of the following is equivalent to
Answers
Answer: C
Step-by-step explanation:
This is the answer because you have to multiply (x-1) on both sides and that will cancel out the denominator on the right. Then, multiply by x on both sides and that will cancel the denominator on the left side. When you do this, C should be your answer. Hope this helps :)
Answer:
the third oneStep-by-step explanation:
[tex]\dfrac{5x+2}x=\dfrac{-12}{x-1}\\\\{}\quad\ \cdot x\qquad\ \cdot x\\\\5x+2\ =\ \dfrac{-12x}{x-1}\\\\\cdot (x-1)\quad \cdot (x-1)\\\\(5x+2)(x-1)=-12x[/tex]
Which of the following best describes the directrix of a parabola?
Answers
Answer:
Step-by-step explanation:
D is correct. Picture the graph of the parabola (a vertical one). Locate its vertex. The focus is situated inside the curve of the parabola. The directrix is situated outside the parabola and is perpendicular to the axis of symmetry of the parabola.
Answer:
D is the correct answer.
Step-by-step explanation:
Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures televisions can be modeled by the polynomial 3x2 + 180x. The cost, in dollars, of producing the televisions can be modeled by 3x2 – 160x + 300. The variable x is the number of televisions sold.
If 150 televisions are sold, what is the profit?
Answers
Answer:
100
Step-by-step explanation:
Find the slope of the line graphed. A)2/5 B)5/2 C)2 D)5
Answers
Answer:
2/5
Step-by-step explanation:
when looking at a graph remember rise over run so go up 2 and over 5 and then you are now on an even space
Answer: A , i think it is 2/5
Step-by-step explanation: rise =2 run =5
Simplify $\sqrt5-\sqrt{20}+\sqrt{45}$.
Answers
Answer:
[tex]2\sqrt{5}[/tex]
Step-by-step explanation:
[tex]\sqrt5-\sqrt{20}+\sqrt{45}[/tex]
It is the same process as in the last problem.
[tex]\sqrt5-2\sqrt{5}+3\sqrt{5}[/tex]
[tex]2\sqrt{5}[/tex]
Answer:
Your correct answer is 2√5
Step-by-step explanation:
√5 − √20 + √45 = 2√5
I need helpppppppppppp
Answers
Answer:
7.5 cm
Step-by-step explanation:
it is a right triangle, b=10, hypotenuse c=12.5
a^2+b^=c^2 the Pythagorean theorm
a^=c^2-b^2
a^2= 12.5^2-10^2
= 56.25
a=√56.25=7.5 cm
I WILL GIVE BRAINLIEST. Please help!
Given the equation A=250(1.1)^t, you can determine that the interest is compounded annually and the interest rate is 10%. Suppose the interest rate were to change to being compounded quarterly. Rewrite the equation to find the new interest rate that would keep A and P the same. What is the approximate new interest rate?
Convert your answer to a percentage, round it to the nearest tenth, and enter it in the space provided, like this: 42.53%
Answers
Answer: 2.5%
Step-by-step explanation:
Hi, to answer this question we have to apply the compounded interest formula:
A = P (1 + r/n) nt
Where:
A = Future value of investment (principal + interest)
P = Principal Amount
r = Nominal Interest Rate (decimal form, 10/100= 0.1)
n= number of compounding periods in each year (365)
Replacing with the values given
A=250(1+0.1/1)^t/1
A=250(1.1)^t
For a interest compounded annually, n=1, compounded quarterly n= 4 (4quarters in a year )
Interest rate 0.1 /4 = 0.025= 2.5%
Answer:
9.6%
Step-by-step explanation:
yw
how many eights are in 4 3/8
Answers
Step By Step Explanation:
First put in terms of numerator/denominator without the 4 in the front. We first multiply 8*4 and then add that to 3. Then our new fraction is 35/8 and then we get our answer of 35
Coach kunal stacks all of the tennis balls in a square pyramid. The number of tennis balls, P(n), in n layers of the square pyramid is given by P(n) = P(n - 1) + n^2. Which could not be the number of tennis balls Coach Kunal has? A. 30 B. 5 C. 14 D. 9
Answers
Answer:
Answer is D.9Step-by-step explanation:
The number of tennis balls, P(n) , in n layers of the square pyramid is given. by: P(n) = P(n - 1) + n ^ 2As the stack of the tennis balls is in shape of a square pyramid, that means in the top layer, there will be one ball. So, P(1) = 1Now, if n = 2 , then P(2)=P(2 - 1)+ (2) ^ 2 = P(1) + 4 = 1 + 4 = 5If n = 3 , then P(3)=P(3 - 1)+ (3) ^ 2 = P(2) + 9 = 5 + 9 = 1414If n = 4 then P(4)=P(4 - 1)+ (4) ^ 2 = P(3) + 16 = 14 + 16 = 3014If n = 4 then P(4)=P(4 - 1)+ (4) ^ 2 = P(3) + 16 = 14 + 16 = 30That means, the number of tennis balls from the top layer will be: 1, 5, 14, 30,14If n = 4 then P(4)=P(4 - 1)+ (4) ^ 2 = P(3) + 16 = 14 + 16 = 30That means, the number of tennis balls from the top layer will be: 1, 5, 14, 30,So, the number of tennis balls that Coach Kunal could not have is 9.HELP PLEASE!!! I need your guys help on this question.
Answers
Answer:
Area of a trapezium = 1/2(a+b)×h
where a and b are parallel sides of the trapezium
h is the height
First question
We must first find the height of the trapezium using Pythagoras theorem
That's
h² = 8² -3²
h =√ 64 - 9
h = √ 55m
a = 7m
b = 10+3 = 13m
Area of the trapezoid = 1/2(7+13)×√55
= 1/2×20×√55
= 74.16
= 74m² to the nearest tenth
Second question
We use sine to find the height
sin30° = h/12
h = 12 sin 30°
h = 6 in
Let the other half of the parallel side be x
To find the other half of the parallel side we use Pythagoras theorem
That's
x² = 12²- 6²
x = √144-36
x = √108
x = 6√3 in
So for this trapezoid
a = 9 in
b = (9 + 6√3) in
h = 6 in
Area of the trapezoid = 1/2(9 + 9+6√3) × 6
= 1/2(18+6√3)×6
= 85.176 in²
= 85 in² to the nearest tenth
Hope this helps you
Answer:
The first (left) trapezoid's area is [tex]10\sqrt{55}[/tex]m or ≈ 74.2m²
The second (right) trapezoid's area is [tex]54 +18\sqrt{3}[/tex] or ≈ 85.2 in²
Step-by-step explanation:
First trapezoid (left):
Because the first trapezoid is a normal trapezoid, we can use the equation [tex]A = \frac{a+ b}{2} * h[/tex] Where a is equal to one base length and b is equal to the other base length and h is the height of the trapezoid.
a = 7
b = 13
h = [tex]\sqrt{55}[/tex] ([tex]3^{2}+h^{2} = 8^{2}[/tex])
Plug into the equation:
[tex]A = \frac{7+13}{2} *\sqrt{55}[/tex]
A = [tex]10\sqrt{55}[/tex] or ≈74.2m²
Second trapezoid (right):
Not a normal trapezoid (split into a triangle and a square)
Let's solve for the triangle first:
using [tex]sin(30) = \frac{x}{12}[/tex] to find the right-hand side of the triangle we get x = 6
because this is a 30 60 triangle, the last side has to be [tex]6\sqrt{3}[/tex]
Now we can calculate the area of the figure:
Triangle is [tex]\frac{1}{2} * 6 * 6\sqrt{3} = 18\sqrt{3}[/tex]
Rectangle is 6 * 9 = 54
Area = [tex]54 +18\sqrt{3}[/tex] or ≈ 85.2 in²
Which statement best describes Cheryl's commute? A. Cheryl accelerated to 65 mph, made a stop for 5.5 minutes, and then decelerated to 45 mph. B. Cheryl drove at a speed of 65 mph for 1 minute, drove at a constant speed for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes. C. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and then decelerated to 45 mph. D. Cheryl drove at a speed of 65 mph for 1 minute, made a stop for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes.
Answers
Answer:
C. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and then decelerated to 45 mph.
Step-by-step explanation:
Assume the graph of Cheryl's commute was like the one below.
We see that she started at 0 mph.
One minute later, she was up to 65 mph, so she had accelerated (increased her speed).
At 6.5 min (5,5 min later) her speed was still 65 mph, so she was driving at a constant speed.
Over the next 2.5 min, her speed dropped to 45 mph, so she was decelerating.
Answer:
D
Step-by-step explanation:
on Edmentum
Each answer choice below represents a relation by a set of ordered pairs. In which of the answer choices is the relation a function? Select all correct answers. Select all that apply:
{(9,14),(4,−3),(8,11),(8,9)}
{(−5,−3),(−3,2),(3,3),(9,3)}
{(3,3),(2,−2),(0,10),(2,2)}
{(−5,−3),(6,−4),(9,−5),(−2,−5)}
{(7,−1),(4,7),(0,−1),(2,14)}
Answers
Answer:
{(−5,−3),(−3,2),(3,3),(9,3)}
{(−5,−3),(6,−4),(9,−5),(−2,−5)}
{(7,−1),(4,7),(0,−1),(2,14)}
Step-by-step explanation:
These 3 answer choices all represent functions since the x-values only correspond to one y-value.
The other answer choices are not functions because some of the x-values correspond to more than one y-value.
Which of the following graphs shows a pair of lines that represents the equations with the solution (4, −1)?
-- FOR ANYONE WITH THIS QUESTION, ITS D --
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 1 unit to the right and 4 units down. A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 4 units to the right and 1 unit down. A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 4 units to the left and 1 unit up. A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 1 unit to the left and 4 units up.
Answers
Answer:
Option B.
Step-by-step explanation:
We need to find a pair of lines that represents the equations with the solution (4, −1).
Since (4,-1) is the solution of the equations. It means (4,-1) is the intersection point of lines.
4 on x-coordinate means 4 units right.
-1 on y-coordinate means 1 unit down.
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 4 units to the right and 1 unit down.
Therefore, the correct option is B.
Answer:
D
Step-by-step explanation:
Does anyone know how to solve this question. Coach kunal stacks all of the tennis balls in a square pyramid. The number of tennis balls, P(n), in n layers of the square pyramid is given by P(n) = P(n - 1) + n^2. Which could not be the number of tennis balls Coach Kunal has? A. 30 B. 5 C. 14 D. 9
Answers
Answer:
D. 9
Step-by-step explanation:
From the question, we are given the following information:
The number of tennis balls represented by P(n), in n layers of the square pyramid is given as
P(n) = P(n - 1) + n²
In other to solve for n, we would be taking some values for n
Step 1
Let's take the first layer,
n is represented by 1
n = 1
P(1) = P(1 - 1) + 1²
P(1) = 1 tennis ball.
Step 2
Let's take the second layer
n is represented by 2
P(2) = P(2 - 1) + 2²
P(2) = P(1) + 2²
Note that: P(1) above = 1
P(2) = 1 + 2²
P(2) = 5 tennis balls
Step 3
Let's take the third layer
n is represented by 3
P(3) = P(3 - 1) + 3²
P(3) = P(3 - 1) + 3²
P(3) = P(2) + 3²
Note that: P(2) above = 5
P(3) = 5 + 3²
P(3) = 14 tennis balls
Step 4
Let's take the fourth layer
n is represented by 4
P(4) = P(4 - 1) + 4²
P(3) = P(4 - 1) + 4²
P(3) = P(3) + 4²
Note that: P(3) above = 14
P(3) = 14 + 4²
P(3) = 30 tennis balls
We can continue this process, on and on
From the above solution for the number of the tennis balls in first four layers will be: 1, 5, 14, 30,
Hence, the number of tennis balls that Coach Kunal could not have is 9.
The questions are in order. Please tell me which answer is for which questions. Thank you!
Answers
Short Answer:
1. C ( 60 degrees)
2. B (90 degrees)
Explanation:
The first one is 60 degrees, because every 5 minutes the minute hand goes 30 degrees and she took 10 minutes.
30 x 2
=60 degrees
The second one is 90 because one section is 30 degrees. so,
30 x 3
= 90 degrees
Hope this helps :)
Which function is the result of vertically shrinking ƒ(x) = 2(x + 3)2 by a factor of ½ and reflecting it across the x-axis?
Question 7 options:
A)
y = (x + 3)2
B)
y = –½(x + 3)2
C)
y = –(x + 3)2
D)
y = ½(x + 3)2
Answers
Answer:
C) y = -(x + 3)2
Step-by-step explanation:
To vertically shrink the function by a factor of 1/2, we just need to multiply f(x) by 1/2 (This way the values in the y-axis will decrease by a factor of 1/2):
[tex]y = (1/2) * 2(x + 3)^2[/tex]
[tex]y = (x + 3)^2[/tex]
Now, to reflect the function across the x-axis, we just need to put a minus sign in the front of the function (so the values in the first and second quadrant will go to the third and fourth quadrant, that is, f(x) will be -f(x)):
[tex]y = -(x + 3)^2[/tex]
So the correct option is C)
Find the area of the figure.
A rectangle topped by a triangle. The rectangle has length 6 yards and width 4 yards. The triangle has side lengths 3 yards and 4 yards.
a.
48 sq. yd
b.
60 sq. yd
c.
30 sq. yd
d.
42 sq. yd
Answers
Answer:
area of figure = area of rectangle + area of triangle
area of rectangle= length × width
6×4
24yd²
area of triangle= 1/2×base×height
1/2×3×4
3×2
=6yd²
area of figure= 24+6
= 30yd²
Answer:
area of figure = area of rectangle + area of triangle
area of rectangle= length × width
6×4
24yd²
area of triangle= 1/2×base×height
1/2×3×4
3×2
=6yd²
area of figure= 24+6
= 30yd²
Step-by-step explanation:
air flows through a duct at 2400 cubic feet per minute after several feet in a few vent the air flow decreases to 1680 cubic feet what is the percent drop that has occurred
Answers
Answer:
I think the answer is 7.2%
Step-by-step explanation:
2400-1680=720
720/100=7.2
7.2 is the answer
Hope this helps!
THE IMAGE DOWN BELOW MATH PLEASE HELP ME WITH THIS ALEGEBRA IM CRYING YALL
Answers
Answer:
75%.
Step-by-step explanation:
The increase in miles = 3.5 - 2 = 1.5.
So the percent increase = (1.5 / 2.0) * 100
= 0.75 * 100
= 75%.
Answer:75%
Step-by-step explanation
Her progress 3.5-2=1.5
2 miles progressed by 1.5 miles
1 miles progressedby 1.5/2 miles
100 miles progressedby ( 1.5/2)x 100
=75℅
You invest $5000 into an account earning 4% interest compounded quarterly. Write an
equation to represent the amount of money you will have in your account after 8 years?
Answers
Answer:
A (in $USD) = 5,000(1 + .04/4)^4(8)
A = 5000(1 + 0.01)^32
A = 5000(1.01)^32
A = 5000(1.37494068)
A ≈ 6874.7034
A = $6875 or $6875.7 (depending on rounding requirement)
Step-by-step explanation:
Compound Interest Formula
A = P(1+ r/n)^n(t)
A is the amount in the account after t yearsP is the principal (original amount invested)r is the annual rate, expressed as a decimaln the number of times the interest is calculated a year*t is the number of years*If the interest is compounded monthly n = 12, if quarterly n = 4, if daily n = 365.
In the expression [Image Displayed] what is k?
a.
inverse variation
c.
constant of variation
b.
direct variation
d.
the solution
Answers
Answer:
the answer is A
Step-by-step explanation:
this this is because a is inversely proportional to b so therefore k becomes an inverse variation
find the values of x and y in the diagram and show work please it's for geometry class
Answers
Answer:
x = 10
y = 70
Step-by-step explanation:
By using the vertical angles theorem we know that x+ y +10 = 90, also simplified to x + y = 80
and 2x + y = 90
By using the substitution method on x + y = 80, it will be y = -x + 80
When you put into the equation 2x + y = 90 you will get 2x -x +80 = 90
Then it will simplify to x = 10
After that plug 10 into x + y = 80 to 10 + y = 80 and get y = 70
Problem situation: Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade. How many cups, x, will Bernie need to sell to make a profit of at least $20? Inequality that represents this situation: 20≤1.50x−6.50 Drag each number to show if it is a solution to both the inequality and the problem situation, to the inequality only, or if it is not a solution.
Answers
Answer:
Answer:
18 cups.
Step-by-step explanation:
We are given that Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade. Inequality that represents this situation: .
To find number of cups x to make a profit of at least $20 we will use our given inequality.
Therefore, in order to make a profit of at least $20 Bernie need to sell 18 cups of lemonade.
Answer:
this the right answer
Step-by-step explanation:
SOLUTION TO BOTH THE INEQUALITY AND THE SITUATION18, 23
SOLUTION TO THE INEQUALITY ONLY17.7, 35.5NOT A SOLUTION 10, -4The length of a square is 10 cm. Calculate the perimeter of the square A. 40cm² B. 400cm² C. 4ocm D. 414cm² I will mark you as brainliest
Answers
Answer:
40 cm
Step-by-step explanation:
the 414cm2 is eso they
Find the equation of the line
Answers
Answer: y = -6x + 5
Step-by-step explanation:
equastion is y = dx + e
+) Because it perpendicular y = \dfrac{1}{6} x + 3
d \times \dfrac{1}{6} = -1
<=> d = -1 : \dfrac{1}{6}
<=> d = -6
=> y = -6x + e;
+) Because it contains the point (-3; 23)
=> 23 = -6 \times (-3) + e
<=> e = 5
=> y = -6x + 5
A)x 1/9
B)x 1/6
C)x^6
D) x^9
Please explain in simple terms how you would solve this please!!
Answers
Answer:
Answer should be x^9
Step-by-step explanation:
This equation looks really complicted, but it's actually much easier when you break it down! First, your going to multiply the fraction 3/2 by 6 - since one is a fraction, youre going to find the GCF, or Greatest Common Factor, and reduce it. The GCF in this equation is 2, so we eliminate the two from the fraction (making it just 3) and divide 6 by 2 (getting 3). Thus, we are left with (x^3)^3 -> 3 x 3 = 9. So we are left with x^9. I hope this helps!
Given OT with PQ = SR. What is the length of SR?
Answers
Answer:
42, because PQ is split in half and one side is 21, the 2 little lines going thru it show that both sides are equal meaning PQ is 42 bc of 21+21 therefore so is SR
Step-by-step explanation: