A playground is located on a triangular piece of land. Two sides of the playground are 157 feet long and they meet at an angle of 65°. Your are hired to build a fence around the playground. Find the cost of the fencing material needed if it will cost $11.75 a foot.
Answer:
$5,671.84
Step-by-step explanation:
To find the third side, we can use the law of cosines:
c^2 = a^2 + b^2 - 2ab*cos(theta)
c^2 = 157^2 + 157^2 - 2*157*157*cos(65)
c^2 = 28463.7649
c = 168.71 feet
The perimeter of the playground is:
P = 157 + 157 + 168.71 = 482.71 feet
If each foot costs $11.75, the final cost is:
Cost = 482.71 * 11.75 = $5,671.84
In the diagram below, OPis circumscribed about quadrilateral ABCD. What is
the value of x?
A. 80°
o
o
120-
B. 30°
C. 120
O O
D. 60°
SUEM MES
< PREVIOUS
Answer: The correct answer is D!!! 60
Step-by-step explanation:
The measure of the value of x from the given quadrilateral is 81 degrees.
Circle geometryFrom the given diagram, the quadrilateral is inscribed in the circle.
USing the theorem; "the sum of opposite angle of a quadrilateral is 180degrees, hence;
x + 98 = 180
Subtract 98 from both sides
x + 98 - 98 = 180 -98
x = 180 - 98
x = 81 degrees
Hence the measure of the value of x from the given quadrilateral is 81 degrees.
Learn more on geometry here: https://brainly.com/question/20303542
#SPJ5
The difference of a number and 8 is no more then 13
x - 8 = </= 13
x could be from 9 to 21
Find the product of (−2r+6s)(−2r−6s). Write your answer in standard form.
Answer:
4r^2 - 36 s^2
Step-by-step explanation:
HELP ME IN THE MATH
34x65+532-654+74744476=
Answer:
74746564
Step-by-step explanation:
Follow the steps.
Answer 74746564
Step-by-step explanation:
Assuming that the 34 is 34 times 65
With p.e.m.d.a.s. you would first multiply 34 x 65 which you would get 2210
then you would add 532, then subtract 654 from 2742.
After you would take 2088 and add 74744476 and get
74746564
(sorry if i misunderstood the problem and got it completely wrong)
12 of the 30 students in Mrs. Smith's class are boys. What percent of the class is made up of girls?
Answer:
40%
Step-by-step explanation:
Answer:
60%
Step-by-step explanation:
First, find how many girls are in the class
There are 12 boys. The rest of the 30 students will be girls.
12+g=30
Subtract 12 from both sides to get the variable by itself
12-12+g=30-12
g=18
There are 18 girls.
Now, we have to find the percent.
To do this, divide the part: the girls, by the whole: the entire class
part/whole
girls/class
There are 18 girls, and 30 students in the whole class
18/30
0.6
Convert 0.6 to a percent by multiplying by 100, or moving the decimal place 2 spots to the right
0.6*100=60
0.6--> 6.0--> 60.
So, 60% of the class is made up of girls
helppppppppppppppp meeeeeee
1x1x1. That's pretty much the definition of
Answer: 1 cubic foot, last choice
There are 81 women teachers at Russell High. If 45% of the teachers in the school are women, how many teachers are there at Russell High?
Answer:
180 teachers
Step-by-step explanation:
In this case, we know the value corresponding to 45% of female teachers which is 81, therefore, to find the total it would be:
% teachers #teachers
45 81
100 x
we apply the rule of three:
x = 100 * 81/45
x = 180
which means that there are a total of 180 teachers at Russell High
Two rectangles are joined together to form a single large area. The rectangles do not overlap. The first rectangle has side lengths of 10 meters and 3 meters. The second rectangle has side lengths of 3 meters and 8 meters. What is the combined area? *
Answer:
54
Step-by-step explanation:
Since they don’t overlap, just find the area of each rectangle and add it together. for example, the first rectangle will be 30 because 3x10=30. the second rectangle will be 24 because 3x8=24. 30+24=54. hope this helped :)
Mark is 4 years older than his brother Mike. If the sum of their ages is 20 how old are they now?
x + x + 4 = 20
x + x = 16
16 / 2 = 8
Mike is 8, and Mark is 12.
A cylinder and its dimensions are diameter 8.4 cm and height 10.9 cm. Which measurement is closest to the lateral surface area of the cylinder in square centimeters?
Answer:
287.64
Step-by-step explanation:
Answer:287.6
Step-by-step explanation:
please answer this. 20 points
Answer:
figure ii
Step-by-step explanation:
counterclockwise is this way >>>
thus making figure 2 the version of circle A spun counterclockwise
Peg rode her bike for 1 \text{ kilometer}1 kilometer1, start text, space, k, i, l, o, m, e, t, e, r, end text before stopping. Lauren rode for 602 \text{ meters}602 meters602, start text, space, m, e, t, e, r, s, end text before stopping.
How many meters farther did Peg ride than Lauren?
Answer:
2x45+67
fffftheStep-by-step explanation:
Answer:398 not 2x45+67
The diagram shows a square-based cuboid.
10 cm
4 cm
Work out the volume of the cuboid.
State the units of your answer.
Answer:
400 cubic cm
Step-by-step explanation:
Given that base is square and is side is 10 cm
area of square is given by side^2
Thus, area of base of cuboid = [tex]10^2[/tex] square cm = 100 sq. cm
We know volume for any cuboid is area of base * height
height is 4cm
thus, volume of cuboid = area of base of cuboid * height
= 100 * 4 cubic cm = 400 cubic cm
Volume of cuboid is 400 cubic cm.
Unit is cubic cm
The volume of square based cuboid is [tex]400cm^{3}[/tex].
Given that, base is square and side of base is 10 cm.
Height of the square-based cuboid.is 4cm.
Area of base = [tex](side)^{2}=(10)^{2}=100cm^{2}[/tex]
Volume of the cuboid is multiplication of base area and height of the cuboid.
[tex]Volume=100*4=400cm^{3}[/tex]
Hence, the volume of square based cuboid is [tex]400cm^{3}[/tex].
Learn more:
https://brainly.com/question/21225344
Find the volume of the figure.
A) 111 in3
B) 165 in3
C) 201 in3
D) 309 in3
Answer:your answer is B.) 165 in3
Archaeology students are constructing a replica of the Great Pyramid of Giza that they will then fill with sand. The replica is to be the size of the original pyramid. The Great Pyramid is approximately meters tall and each side of the base is approximately meters long. Based on these measurements, how many cubic meters of sand will the students need? Round your answer to the nearest whole number.
Archaeology students are constructing a replica of the Great Pyramid of Giza that they will then fill with sand. The replica is to be 120the size of the original pyramid. The Great Pyramid is approximately 147 meters tall and each side of the base is approximately 230 meters long. Based on these measurements, how many cubic meters of sand will the students need? Round your answer to the nearest whole number.
Answer: 972 m^3 of sand
Step-by-step explanation:
Height of original pyramid = 147 meters
Each side of the base = 230 meters (that is both the base length and base width).
If replica pyramid is to be 1/20 the size of the original pyramid :
Size dimension of replica pyramid will therefore be,
Height = 1/20 × 147 = 7.35metres
Each Base = 1/20 × 230 = 11.5 metres
To calculate the amount of sand required, we can get these by Calculating the volume of the pyramid which us the amount of space occupied by an object.
The volume of a pyramid is given by:
(Base length × base width × height) ÷ 3
( 7.35 m × 11.5 m × 11.5 m) / 3
972.0375 m^3
That means the volume of the pyramid is 972.0375 m^3
a boy is standing 180 metres from the base of a tree. the angle of elevation to the top of the tree is 40°. what is the height of the tree?
Answer:
151
Step-by-step explanation:
tan 40° = x/180
tan 40°*180 = x
0.8391*180 = 151
height = 151m
7h=-(2h-18)7h=−(2h−18) solve for h please asap
Answer:
H=2
Step-by-step explanation:
I promissse
Be safe hope this helps
Answer: h is 4
Step-by-step explanation:
solve for x
11 to the x power is equal to 11 to the 4th power times 11 to the 5th power.
exponets.
Answer:
x = 9
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]
Given
[tex]11^{x}[/tex] = [tex]11^{4}[/tex] × [tex]11^{5}[/tex] = [tex]11^{(4+5)}[/tex] = [tex]11^{9}[/tex]
Since the bases on both sides are common, then equate the exponents
x = 9
Wich method can you use yo decide wich of several integers has the greatest value?
Answer:
C
The integer with the greatest value is the one that is farthest to the right hand side of the number line
Step-by-step explanation:
The number line is constructed in a way such that we have a center point of zero with positive values to the right of the number line and negative values to the left of the number line.
Moving deeper right, we have an increase in positivity, with the more positive values rightwards, indicating an increase in the numbers to the right
Moving to the left, we have an increase in negativity, but a decrease in value. The negative numbers closer to zero are more positive and command higher values than the values which are farther from zero.
What these indicates is that the more rightward a number, the greater its value
What is the slope of the line that contains the points (1,4) and (4,8)
Answer:
i think 4/3 is the answer
Everlys’ school is located at the midpoint between her house and the library. Find the location of her school if her house is located at (8, 1) and the library is at (-2, -5).
Group of answer choices
(3, -2)
(5, 3)
(10, 6)
(6, -4)
Answer:
i think that the answer is 1.000
Step-by-step explanation:
help me fill this out thanks
Answer:
[tex]y = 2 \sqrt{6} [/tex]
Step-by-step explanation:
[tex] \frac{y}{ \sin(60) } = \frac{4 \sqrt{2} }{ \sin(90) } \\ \frac{y}{ \frac{1}{2} \sqrt{3} } = \frac{4 \sqrt{2} }{1} \\ y = 4 \sqrt{2} \times \frac{1}{2} \sqrt{3} \\ y = 2 \sqrt{6}[/tex]
How do you round 109.3034
Answer:Rounding a number is when you take a number and "bump it up" or "bump it down" to a nearby and "cleaner" number. A number can be rounded to any place value you want. If you type in a number you wish to round below, and select what place value you want to round it to, this selection will show you how to round it!
Step-by-step explanation:
Which are solutions of x2+5=2
Answer:
x= -1.5
Step-by-step explanation:
assuming x2 is x multiplyed by 2 then...
x*2+5=2
2x=-3
x=-3/2
x= -1.5
I want brainliest or else!!!
Answer:
[tex]\pm \sqrt{7}[/tex]
Step-by-step explanation:
[tex]x^2+5=2[/tex]
Subtract 2 from both sides:
[tex]x^2+7=0[/tex]
[tex]x=\pm \sqrt{7}[/tex]
Hope this helps!
Math isnt my strong suit..
Answer:
See explanation below.
Step-by-step explanation:
First, read this explanation of how to understand probability numbers.
A probability number is a number from 0 to 1. It can be written as a decimal, a fraction, or a percent, but it must be from 0 to 1. The numbers 0, 25%, 1/3, 0.75 are all examples of probabilities since they are all from 0 to 1. 25% is the same as 0.25; 1/3 is the same as 0.333... All probabilities are expressed as 0, 1, or a number in between 0 and 1.
A probability of 0 means the event will not happen. It is an impossibility.
A probability of 1 or 100% is a sure thing it will happen. It is certain it will happen.
A probability of 50% or 0.5 or 1/2 means it is as likely to happen as it is not to happen.
A probability of between 0 and 0.5 is more likely not to happen than to happen.
A probability of between 0.5 and 1 is more likely to happen than to not happen.
Now let's look at each one of the probabilities in your problem.
1. 1/4
1/4 is the same as 0.25 which is between 0 and 0.5. It is more likely to not happen.
1. b. Unlikely
2. 0.0
0.0 will definitely not happen.
2. e. Impossible
3. 0.50
0.50 can just as easily happen or not happen.
3. d. Equally Likely
4. 100%
100% is the same as 1. A probability of 1 means an event that is certain to happen.
4. a. Certain
5. 75/100
75/100 is the same as 3/4 and 0.75; 0.75 is between 0.5 and 1, so it is more likely to happen than to not happen.
5. c. Likely
how many solutions to x^2 =-16
Answer:
no real solutions
Step-by-step explanation:
how do I solve for x and y?
Answer:
x=2 y=10
Step-by-step explanation:
The triangles are similar so we can use ratios to solve
15 20
----- = -------------
x+4 8
Using cross products
8*15 = 20 (x+4)
120 = 20(x+4)
Divide each side by 20
120/20 = 20(x+4)/20
6 = x+4
Subtract 4 from each side
6-4 = x+4-4
2 =x
25 20
----- = -------------
y 8
Using cross products
25*8 = 20y
200 =20y
Divide by 20
200/20 = 20y/20
10=y
Patel bought a 2 lb bag of Trail Mix he poured 1/2 pound of trail mix into a bowl and divided the remaining amount into bags each bag had 2 oz of Trail Mix how many bags did paddle use
Answer:
Patel used 0.125 lb bags
Step-by-step explanation:
Given that:
Patel bought 2 lb bag of Trail Mix
He then poured 1/2 pound of trail mix into a bowl
1/2 × 2= 1
i.e he poured 1 lb bag of the trail mix into a bowl
Then he divide the remaining amount into bags in which each bag had 2 oz of trial mix.
Now; we knew that after he poured 1 lb bag of the trail mix into a bowl; there will be 1 lb bag remaining
So, he divide this remaining 1 lb bags into bags in which each bags contains 2 oz of the trail mix
So; what we need to find out is that , how many oz makes one lb
from the the conversion tables
16 oz = 1 lb
and it was said that each bag contain 2 oz
that implies that :
if; 16 oz = 1 lb
Then: 2 oz = x lb
16 oz * x lb = 2 oz * 1 lb
x lb = (2 oz * 1 lb )/16 oz
x lb = 0.125 lb
Thus; Patel used 0.125 lb bags
A bunch of Ashland families have been helping out by making 2 different types of masks. It costs the family $1.70 to buy the supplies to make a mask with elastics and $1.30 to buy the supplies to make a mask that ties. They are selling the masks with elastics for $5.60 and the masks that tie for $5.40. In April, the family spent $37.90 on materials for both types of masks. They sold the masks for a total of $147.20, which they will donate to the Ashland Emergency Fund. How many masks with elastics did they make & sell in April?
Answer:
They made and sold 7 masks with elastics in the month of April.
They made and sold 20 masks that tie in the month of April.
Step-by-step explanation:
Let the number of masks with elastic made and sold be x
And the number of masks that tie made and sold be y
Since the price of making one mask with elastic is $1.70
The total amount spent on making x masks with elastic = 1.7x
The price of making one mask that ties is $1.30
The total amount spent on making the masks that tie = 1.3y
Total cost price = 1.7x + 1.3y = 37.90 (eqn 1)
They are selling the masks with elastics for $5.60 and the masks that tie for $5.40.
Total revenue made from selling x masks with elastic = 5.6x
Total revenue made from selling y masks that tie = 5.4y
Total revenue = 5.6x + 5.4y = 147.20 (eqn 2)
Writing the two equations together
1.7x + 1.3y = 37.9
5.6x + 5.4y = 147.2
Solving the simultaneous equation
x = 7 and y = 20
Hence, they made and sold 7 masks with elastics and 20 masks that tie in the month of April.
Hope this Helps!!!
