Answer:
∠V = 33°
∠W = 90°
∠X = 57°
Step-by-step explanation:
In a right triangle, the sum of the acute angles is 90 degrees
(2x+3) + (3x+12) = 90
combine like terms
5x + 15 = 90
5x = 75
x = 15
∠V = 2x+3, x=15
2(15) + 3
30 + 3
33°
∠X = 3x+12, x=15
3(15) + 12
45 + 12
57°
The square has a side length of 10 ft and the circle inside the square has a diameter of 10 ft find the approximate area of the shaded region use 3.14 as an estimation for
Answer:
[tex]Area = 21.5ft^2[/tex]
Step-by-step explanation:
See attachment
Given
Square:
[tex]Length = 10ft[/tex]
Circle:
[tex]Diameter = 10ft[/tex]
[tex]\pi = 3.14[/tex]
Required: Calculate the area of the shaded region
First, calculate the area of the square:
[tex]A_1 = Length^2[/tex]
[tex]A_1 = (10ft)^2[/tex]
[tex]A_1 = 100ft^2[/tex]
Next, the area of the circle.
[tex]A_2 =\pi * \frac{d^2}{4}[/tex]
[tex]A_2 =3.14 * \frac{10^2}{4}[/tex]
[tex]A_2 =3.14 * \frac{100}{4}[/tex]
[tex]A_2 =3.14 * 25[/tex]
[tex]A_2 =78.5ft^2[/tex]
The shaded region has the following area
[tex]Area = A_1 - A_2[/tex]
i.e. the difference between the area of the square and the area of the circle
[tex]Area = 100ft^2 - 78.5ft^2[/tex]
[tex]Area = 21.5ft^2[/tex]
which of the following is NOT a characteristic of a parallelogram
Answer:
If all the points do not connect then you do not have a parallelogram. If all of the sides are not of equal length, them being parallel than this is not a parallelogram. Opposite edges and angles have to be congruent for it to be a parallelogram.
Step-by-step explanation:
Solve the simultaneous equations
5x + y = 11
3x - y = 9
Answer:
Step-by-step explanation:
5x + y = 11 -------------------(I)
3x - y = 9 -----------------(II)
Add equation (I) & (II)
5x + y = 11
3x - y = 9 {add and y will be eliminated and we'll get the value of x}
8x = 20
x = 20/8
x = 2.5
Plugin x = 2.5 in equation (I)
5*2.5 + y = 11
12.5 + y = 11
y = 11 - 12.5
y = -1.5
After solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].
What are equations ?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign .
We have,
[tex]5x + y = 11[/tex] [tex].......... (i)[/tex]
[tex]3x - y = 9[/tex] [tex]...........(ii)[/tex]
To solve we will multiply equation [tex](i)[/tex] by [tex]3[/tex] and equation [tex](ii)[/tex] by [tex]5[/tex],
[tex]15x + 3y = 33[/tex] [tex]..........(iii)[/tex]
[tex]15x -5y = 45[/tex] [tex]..........(iv)[/tex]
Now, adding both equations [tex](iii)[/tex] and [tex](iv)[/tex] ,
We get,
[tex]8y=-12[/tex]
[tex]y=-\frac{3}{2} =1.5[/tex]
Now putting value of [tex]y=-\frac{3}{2} =1.5[/tex] in equation [tex](i)[/tex] ,
[tex]5x+(\frac{-3}{2} )=11[/tex]
[tex]x=\frac{5}{2} =2.5[/tex]
So, using the elimination method we find out the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex], which was find out simultaneously.
Hence, we can say that after solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].
To know more about equations click here
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Emergency please help I have been trying to solve this all day I am stûpid
Answer: x= 5.3
Step-by-step explanation:
Looking for side opposite and adjacent so we use tangent or tan. The equation is Tan(angle) = opposite/adjacent so input the numbers... Tan24=x/12 and to solve for x(missing side) multiply both sides by 12 to cancel out and get 5.3427 rounded is 5.3
i really need help with this!!! someone help please
Answer:
156 in squared
Step-by-step explanation:
So the formulas will be stated below
Parallelogram Area= 1/2h(b1+b2)
Square Area= Bh
So first do
(4)(12+6)
(4)(18)
No need to half it bc there's the same shape at the bottom
72+18+30+36
6(3)
3x5(2)
12(3)
wich set of numbers is areanged in decreasing order? I need help thanks
Answer:
Send a pic of the problem.
Step-by-step explanation:
What’s the slope to this graph?
Answer:
1
Step-by-step explanation:
rise/run = 1/1 = 1
CAN SOMEONE HELP ME ASAP PLS I NEED TO SOLVE FOR DE
Answer:
c
Step-by-step explanation:
8- (-7) = help ASAP
Answer: 15
Step-by-step explanation: have a great day!
Which of the following does not have any dimension?
Question 7 options:
A)
Line
B)
Ray
C)
Line segment
D)
Point
Answer:
D
A point has a dimension of 0.
Hope this helped!
Who know the answer of this? And can u pls explain for me?
Answer:
1.5 kg
Step-by-step explanation:
17*92 g = 1564
1564/1000= 1.564 kg
Answer:
1.75kg
Step-by-step explanation:
If he needs to plant 17 bulbs and he needs 92 grams of soil for each you would multiply both to see how much
17 x 92 = 1564
1564 is more than what the 1.5kg bag would have so it would be the next bigger bag which is 1.75kg
Please help!!!!!!!!!!!
Answer:
The second answer from the top
Step-by-step explanation:
Find the value of BC
Answer: BC=3
Step-by-step explanation: Set the two side lengths equal to each other and solve.
Answer:
BC = 20 units.
Step-by-step explanation:
This triangle has 3 equal sides.
so: -y + 23 = 6y + 2
23 - 2 = 6y + y
21 = 7y
y = 3.
So each side is 6(3) + 2 = 20 units long.
Use the box method to distribute and simplify (6x+3)(2x-5)
Answer:i think 6x+3 is 9x and 2x-5 is 3x
Step-by-step explanation:
A line includes the points (2, 10) and (1, 0). What is its equation in slope-intercept form?
Answer:
y=10x-10
Hope this helped <3
hello please help thank you!
Answer:
BC ≈ 5.44 m
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] , that is
cos27° = [tex]\frac{BC}{6.1}[/tex] ( multiply both sides by 6.1 )
6.1 × cos27° = BC , then
BC ≈ 5.44 m ( to 3 significant figures )
hello pls help besties (o˘◡˘o)
(ILL MARK BRAINLIEST)
Triangle QRS is rotated 180° about the origin.
On a coordinate plane, triangle Q R S has points (negative 4, 1), (negative 4, 4), (2, 1).
What are the coordinates of point S’?
(2, 1)
(1, –2)
(–1, –2)
(2, –1)
Answer:
D.) or (2, -1)
Step-by-step explanation:
jenna has 24 dimes and quarters in her purse. in total the coins are worth $3.60. How many of each coin does she have?
Answer:
Jenna has 24 Dimes and 6 Quarters
Step-by-step explanation:
Hopefully this helps
Please help
How much per song?
Answer:
1.20 per song
Step-by-step explanation:
Its quite simple. just take 6 divided by 5
Write the following expression in simplest form.
3(3x + 4) + 2x + 3
Please pleaseee help me
Answer:9x+16
Step-by-step explanation:
leah buys 3 adult and 3 child bus passes for a trip. the costs of an adult pass is a. the costs of a child pass is c. write an expression that will show the costs for all of the bus passes for the trip.
Answer:
6
Step-by-step explanation:
Mr. Platt buys 5 calculators to use in his classroom and pays $44.95. Construct a model or diagram to represent this relationship. Write an equation that could be used to find the price, C, of each calculator.
Answer:
I cant really help with the diagram but the equation is
$44.95 divided by 5 = $8.99
Answer: The equation is 5c = 44.95
Step-by-step explanation:
The equation is 5c = 44.95, when c is the price of each calculator.
There were 30 pairs of jeans on sale for 2/3 of the regular price.
The regular price was $36. What was the sale price?
Answer : $36
Explanation:
To find the sale price we can set up a proportion. 25/100 = x/48. We keep the 100 and 48 both on the bottom of the fraction since they represent the "whole". x represents the discount off the full price of the dress. To solve this proportion, we cross multiply, yielding 48 * 25 = 100x. Alternatively, if you notice that 25/100 simplifies to 1/4, we can use 1/4 in our proportion instead of 25/100, thus, 1/4 = x/48. Then, cross multiplying, we get 48 = 4x, so x = 12. Then we subtract this discount from the original price yielding 48 – 12 = 36; thus, she paid $36 for the dress.
25% = 25/100
25100=x48
14=x48
(1) * (48) = (4) * (x)
48 = 4x
(48)/4 = (4x)/4
12 = x
The discount is $12.
$48 – $12 = $36
I need help with this.
Answer:
h
Step-by-step explanation
12 inches in 1 foot.
2.54 cm in 1 inch.
5x 12=60 inches
60 +4=64inches.
64 x 2.54=162.56 cm
Answer:
H. 162.56 cm
Step-by-step explanation:
12 inches in 1 foot.
2.54 cm in 1 inch.
5x 12=60 inches
60 +4=64inches.
64 x 2.54=162.56 cm
PLZ HELP ASAP, GIVING 20 POINTS!!!!!!!!
Write the equation of the line in fully simplified slope-intercept form.
Which of the following is an equation of the line whose graph is shown in the coordinate plane below?
At Clovis's Hat Store 40% of the hats are baseball caps. There are 80 baseball caps. How many total hats are there?
Please help!!! I will fail!! I will mark you brainliest!
Lucas is selling ribbons to raise money for the Juvenile Diabetes Research Foundation. His expenses include $46 for materials, plus $0.02 per ribbon. If Lucas charges $0.25 per ribbon, how many ribbons does he need to sell to break even? Write a system of equations that represents the situation. Let x represent the number of ribbons, and let y represent the expense or revenue. Solve the system of equations.
Answer:
He needs to sell 200 ribbons to break even.
Step-by-step explanation:
The break even point is where the expenses are equal to the earnings, so you can write an expression that indicates that Lucas' expenses are equal to his earnings:
46+0.02x=0.25x
Now, you can solve for x to find the answer:
46=0.25x-0.02x
46=0.23x
x=46/0.23
x=200
According to this, the answer is that he needs to sell 200 ribbons to break even.
What is 24x 7+ 6+ 2, Thx!
Answer:
176
Step-by-step explanation:
Remember to follow the order of operation, PEMDAS.
PEMDAS stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, solve the multiplication:
24 x 7 = 168
Next, add straight across:
168 + 2 + 6 = 170 + 6 = 176
176 is your answer.
~