Answer:
Step-by-step explanation:
65+3x-1=4+8x(the sum of two interior opposite angle are equal to the exterior angle formed)
64+3x=4+8x
64-4=8x-3x
60=5x
60/5=x
12=x
substitute the value of x
4+8x
4+8*12
4+96
100
therefore angle ZAB=100 degree
Find the area of the shaded region.
Answer:
12.86 sq ft
Step-by-step explanation:
Find area of square and subtract out area of semi-circle; the diameter of the semi-circle equals the side of the square, which is 4 so radius is 2
A(square) = 4 x 4 = 16
A(semi-circle) = πr²/2
= 4π/2 or 2π
Area of Shaded Region = 16-3.14 which is 12.86
You are flying a kite and want to know its angle of elevation. The string on the kite is 39 meters long and the kite is level with the top of a building that you know is 24 meters high. Find the angle of elevation of the kite
.a.58.392
b.37.980
c.31.608
d.52.020
Answer:
The correct option is (b).
Step-by-step explanation:
Given that,
The length of the string = 39 m
The kite is level with the top of a building that is 24 meters high.
We need to find the angle of elevation of the kite.
A right-angled triangle will form such that its hypotenuse is 39 m and height is 24 m. Using trigonometry to solve this.
[tex]\sin\theta=\dfrac{P}{H}\\\\\sin\theta=\dfrac{24}{39}\\\\\theta=\sin^{-1}\left(0.61538\right)\\\\\theta=37.98^{\circ}[/tex]
So, the angle of elevation of the kite is 37.97°. The correct option is (b).
What is the length of the hypotenuse of the triangle when x=11?
Answer:
hypotenuse = 93.06
Step-by-step explanation:
[tex]x = 11\\\\base = 4 \times 11 = 44\\\\height = 7x + 5 = 7 \times 11 + 5 = 77 + 5 = 82\\\\hypotenuse ^2 = base^2 + height^2\\[/tex]
[tex]=44^2 + 82^2\\\\=8660[/tex]
[tex]\\\\hypotenuse=93.06[/tex]
Which is greater 5.97 or 5.946????
Answer:
5.97
Step-by-step explanation:
Answer:
5.97
Step-by-step explanation:
5.946 = 5.94
5.97>5.94
A shopkeeper earns a profit of Rs. 1 by selling a pencil and a loss of 20 paisa by selling an eraser. In a given day he had a loss of Rs. 10. On this day, he sold 35 pencils. How many erasers were sold on this day
Given :
A shopkeeper earns a profit of Rs. 1 by selling a pencil and a loss of 20 paisa by selling an eraser.
To Find :
In a given day he had a loss of Rs. 10. On this day, he sold 35 pencils. How many erasers were sold on this day.
Solution :
Money earned by selling 35 pencils.
P = 35 × 1 = Rs 35 .
Now, it is given that he had a loss of Rs 10 .
Therefore, amount of loss done by money is :
E = 35 + 10
E = Rs 45
Now, number of erase sold :
[tex]n = \dfrac{E}{0.2}\\\\n = \dfrac{45}{0.2}\\\\n = 225\ erasers[/tex]
Hence, this is the required solution.
Offering 15 points!
Evaluate.
[tex]\sqrt[3]{-1}[/tex]
a. 1
b. -3
c. undefined
d. -1
The screenshot shows the question, if anyone could help me with this I would be very grateful!
Answer:
its -1 since the equation is all real numbers
Answer:
Your answer is -1.
Step-by-step explanation:
HELP I CANT FAIL AGAIN
Answer:
49
Step-by-step explanation:
What are the dimensions of the tabletop with the
leaves open? Round to the nearest tenth of a foot. Someone please answer I need this for extra credit :))
Answer:
Dimensions of the tabletop is 2.8 cm × 2.8 cm.
Step-by-step explanation:
From the picture attached,
ABCD is a tabletop with leaves AEG, BEF, CFH and GDH.
Dimensions of the tabletop ABCD,
Length = AB
Width = BC
Coordinates of A → (1, 3)
Coordinates of B → (3, 5)
Coordinates of C → (5, 3)
Coordinates of D → (3, 1)
Length of segment = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
AB = [tex]\sqrt{(3-1)^2+(5-3)^2}[/tex]
= [tex]\sqrt{4+4}[/tex]
= [tex]2\sqrt{2}[/tex]
≈ 2.8 units
BC = [tex]\sqrt{(5-3)^2+(3-5)^2}[/tex]
= [tex]\sqrt{4+4}[/tex]
= [tex]2\sqrt{2}[/tex]
= 2.8 units
Therefore, dimensions of the tabletop is 2.8 cm × 2.8 cm.
find the value of x
Answer:
x = 25
Step-by-step explanation:
40 is a vertical angle equal to the angle to the right of 2x.
2x, 40, and 90 are supplementary angles (they add up to 180)
2x + 40 + 90 = 180
2x + 130 = 180
2x = 180 - 130
2x = 50
x = 25
Answer:
they are right
Step-by-step explanation:
Here is a diagram and its corresponding equation. Find the solution to the equation.
4(+7)=38
Answer:
The solution to the equation is:
x = 2.5 or x = 5/2Step-by-step explanation:
To find the solution to the equation, you only must operate the equation until you clear the x variable, with the next steps:
Equation: 4(x+7) = 38And we solve:
4x + 28 = 38 (we multiply 4 by x and 7)4x = 38 - 28 (we pass the +28 to subtract to the right side of the equality and operate)x = 10 / 4 (we pass the 4 that is multiplying to divide to the right side of the equality)x = 2.5 (we divide)As you can see, the solution of the equation is x = 2.5 or x = 5/2
z2+4z-165=(z-11)(z+-15)
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Please help!
From the table what are the x and y intercepts in coordinate form?
Answer:
(0,3) is the x intercept
(3,0) is the y intercept
Step-by-step explanation:
When it has 0 that means its directly on the line, since x is 0 on (0,3) that means the line is crossing the x intercept
I will give you brainliest and 5 star and thanks if its correct
Answer:
The Indapendent virable is: t
Noah took 4 hours to walk 12 miles
(7 1/2, 2 1/2)
Step-by-step explanation:
Please Mark Brainliest
if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!
find the missing term in the sequence 3 ,-1 ,- 5 ____ -13
a. -6
b. -7
c. -9
d. -11
Answer:
C. -9
Step-by-step explanation:
The pattern is clearly subtracting 4 each time (or adding -4).
-5 - 4 = -9
Please help need answers ASAP
A.
B.
C.
D.
Choose the one that would not fall on this line
Solve 5x + 17 = 4(3x - 1) x = -3 x = -3 Infinitely many solutions Infinitely many solutions No solutions No solutions x = 3
Answer:
3 =x
Step-by-step explanation:
5x + 17 = 4(3x - 1)
Distribute
5x+17 = 12x -4
Subtract 5x from each side
5x+17-5x = 12x-4-5x
17 = 7x-4
Add 4 to each side
17+4 = 7x-4+4
21 = 7x
Divide by 7
21/7 = 7x/7
3 =x
Answer:
x = 3
Step-by-step explanation:
5x + 17 = 4(3x - 1)
Distribute on the right side.
5x + 17 = 12x - 4
Subtract 12x from both sides. Subtract 17 from both sides.
-7x = -21
Divide both sides by -7.
x = 3
What is the approximate area of the circle shown below?
A. 50 cm2
B. 201 cm2
C. 804 cm2
D. 25 cm2
Answer:
Hello! answer: B.
attention: im using 3.14 for pi so answers may vary. ok so in this picture we are provided with the diameter to find area we can do radius × radius × 3.14
16 ÷ 2 = 8 8 × 8 = 64
64 × 3.14 = 200.96 When you round this up it's 201 so approximately the answer would be B. Hope that helps!
Which expression below has the same value?
Answer:A
Step-by-step explanation:
Answer:
15/8
Step-by-step explanation:
You will want all numbers to have the same common denominator, then you can add them together.
1 = 8/8
1/2 = 4/8
1/4 = 2/8
1/8 = 1/8
[tex]1+\frac{1}{2} +\frac{1}{4} +\frac{1}{8} \\\frac{8}{8} +\frac{4}{8} +\frac{2}{8} +\frac{1}{8}[/tex]
If you borrow $4,000 for five years at an interest rate of 4.5%, how much will you pay back in total?If you borrow $4,000 for five years at an interest rate of 4.5%, how much will you pay back in total?
Answer:
you will pay back $4,984 in total and you will owe 984 in interest alone just in case you need that too.
at freddie's fruit stand peaches are on sale you can buy 10 peaches for 2.00 how much dose each peach cost
Answer:
0.20
Step-by-step explanation:
At oceanside middle school 110 students tried out for the football team only 80% of the students that tryout make the team how many players are on the team
Step-by-step explanation:
answer is 22 students in the team
how do u get it?
you know it is 80% of the students went for try out so you do 100% - 80% give you 20% students the number of students in the team already. so you do 20 / 100 x 110 students which already in the whole school over 1 which would give it 22
I’m giving brainlest pls help meeee
PLZ HELPPPPPP!!!!!!!!!
Answer:
the answer is B
Step-by-step explanation:
please help, I got 8 of these wrong already :(
Answer:
●{22,28,35} ○{5,12,13}○{25,70,74} ○{48,56,73}I believe it is C. But if I’m wrong let me know :)
(No link pls <3)
I also think- Because you're drawing on the same marble without replacing it.
The perimeter of the figure below is 71.4 in. Find the length of the missing side.
8.3 in
4.4 in
4.4 in
4.4 in
4.4 in
2.7 in
2.7 in
4.4 in
4.4 in
11.4 in
11.4 in
?
Answer:
8.5
Step-by-step explanation:
The perimeter is the distance around the figure. It can be found by adding up the side lengths of all of the sides of the figure. In this case, one is given the perimeter (71.4), and all of the side lengths except one. Make an equation; call the unknown side (x), then solve for (x).
71.4 = 8.3 + 4.4 + 4.4 + 4.4 + 4.4 + 2.7 + 2.7 + 4.4 + 4.4 + 11.4 + 11.4 + x
Simplify,
71.4 = 62.9 + x
Inverse operations,
8.5 = x
Janna has driven 200 miles. If she averages 50 miles per hour, how many more hours must she drive before she has driven a total of 500 miles?
Complete the table so there is a proportional relationship between cups of blue paint and cups of red paint.
Answer:
Blue paint: 1, 2, 2.8, 10
Red paint: 2.5, 5, 7, 25
Step-by-step explanation:
constant of proportionality: 2.5
2.5x = y
Part A
This year, water usage has increased by 20% for both regular days and special events.
LAST YEAR'S WATER USAGE:
All regular days - 13,505 gallons
Per special event - 18.5 gallons
Total for the year - 13,616 gallons
Write an equation for the total water usage, U, at the park this year in terms of x, the number of special events the park has hosted.
Answer:
The total water usage at the park this year, in gallons, U = 16,206 + 22.2·x
Step-by-step explanation:
The given parameters are;
The increase in water usage for both regular days and special event for the current year = 20%
The water usage for last year regular days = 13,505 gallons
The water usage per special event = 18.5 gallons
The total water usage = 13,616 gallons
Therefore, we have;
The water usage for regular days on the current year = 13,505 gallons + (20/100)×13,505 gallons = 16,206 gallons
The water usage per special event for the current year, x = 18.5 gallons + (20/100) × 18.5 gallons = 22.2 gallons
The total water usage, U, at the park this year in terms of 'x', the number of special events the park hosted is given by the sum of the amount of water used on regular days and the product of 'x', and the amount of water used per special event this year as follows;
U = 16,206 gallons + x × 22.2 gallons
∴ The total water usage at the park this year, U = 16,206 + 22.2·x
Answer:
U=16,206+22.2 ^. x
Step-by-step explanation: