Answer:
There monthly income is 300$
6. Find the value of x. (HINT: Find the missing angles inside the triangle first)
Can someone pls help thank you
Answer:
x=120°
Step-by-step explanation:
First, let's look at ΔBAC. We can see that all three sides, AB, BC, and CA, are congruent. This means that the triangle is an equilateral triangle, meaning that all angles of the triangle are congruent.
A property of all equilateral triangles is that the interior angles are all 60°. We can prove this by dividing 180, the sum of the interior angles of a triangle, by 3, because there are three equal angles in an equilateral triangle. 180/3=60.
This means that we now know ∠BAC is 60°.
Now let's look at GC. It is a straight line, meaning the angle GAC is 180°.
If ∠BAC is 60°, and ∠GAC is 180°, then x must be 180-60=120°.
x=120°
Find the area (in square inches) of an equiangular triangle with a radius of length 6 in.
The area of equiangular triangle with radius 6 inches is 27√3 square inches.
What is equiangular triangle?A triangle with three equal interior angles is called equiangular triangle.
In an equiangular triangle, the measure of each of its interior angle is 60 degrees. Since, all the angles are equal therefore all the side will also be equal.
What is the formula for finding the area of equiangular triangle?The formula for finding the area of equiangular triangle is
[tex]Area = \frac{\sqrt{3} }{4} a^{2}[/tex]
Where,
a is the side length of the triangle.
Let the side length of the equiangular triangle be a.
According to the given question.
We have a equiangular triangle with a radius 6.
Since, the radius of the equilateral triangle or equiangular triangle is given by
Radius = [tex]\frac{a}{\sqrt{3} }[/tex]
⇒ a = 6√3 inches.
Therefore, the area of equiangualr triangle is given by
[tex]Area = \frac{\sqrt{3} }{4} (6\sqrt{3} )^{2}[/tex]
⇒ [tex]Area = \frac{\sqrt{3} }{4} \times 36 \times 3[/tex]
[tex]\implies Area = 27\sqrt{3}[/tex] square inches
Hence, the area of equiangular triangle with radius 6 inches is 27√3 square inches.
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Assume this dance floor is 20 feet long and 30 feet wide. How many people will fit on this dance floor if you assume each person will dance in a space that is 2 feet wide and 2 feet long?
The dimensions of a rectangular prism are 5 cm, 5 cm, and 2 cm.
Determine the surface area.
OA.
A. 50 cm
B. 25 cm
OC. 60 cm
D. 120 cm
O E. 90 cm
Answer:
E
Step-by-step explanation:
Givens
L = 5 cm
W = 5 cm
H = 2 cm
Formula
SA = 2L*W + 2L*H + 2*W*H
Solution
SA = 2*5*5 + 2*5*2 + 2*5*2
SA = 50 + 20 + 20
SA = 90 cm^3
Can some help me please thx
Answer:
Look below
Step-by-step explanation:
https://www.calculatorsoup.com/calculators/math/fractions.php
I PROMISE THIS IS NOT A SKETCHY LINK IT TAKES YOU TO A FRACTION CALCULATOR
This website ain't any help no body's helping me with ma questions
Answer: 240
Step-by-step explanation: V=whl=6·5·8=240
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Thank you and have a great nae nae
3n^2-5n-6=9 help please!
Answer:
3n^2 -5n -6 = 9 This is a quadratic Equation.
3n^2 -5n -15 = 0
It is solved with the Quadratic Formula:
n = [-b +-sqr root (b^2 - 4ac)] / 2a
a = 3
b = -5
c= -15
n = [--5 +- sqr root(25 -4*3*-15)] / 6
n = [5 +- sqr root (25 + 180) / 6
n = [5 +-sqr root (205) ] / 6
n = 5 + 14.3178210633 / 6
n1 = 19.3178210633 / 6
n1= 3.2196368439
n2= 5 - 14.3178210633 / 6
n2 = -9.3178210633 / 6
n2 = -1.5529701772
Step-by-step explanation:
prime factorization of 5,200 using exponents
Answer:
2*2•5*2•13
Step-by-step explanation:
* = to the power of.
Answer:
Step-by-step explanation:
5200 = 52 * 100
= 4 * 13 * 10 * 10
= 2 * 2 * 13 * 2 * 5 * 2 * 5
= 2⁴ * 5² * 13
Rectangles R and S are similar. If the area of rectangle R is 40, what is the area of rectangle S?
Answer:
14.4 units²
Step-by-step explanation:
The ratio of Area of rectangle R to area of rectangle S = square of the length of rectangle R to square of lthe ength of rectangle S
Let the area of rectangle S be represented by x, therefore:
40 : x = 8² : 4.8²
40/x = 64/23.04
Cross multiply
x*64 = 40*23.04
64x = 921.6
x = 921.6/64
x = 14.4
Area of rectangle S = 14.4 units²
The ratio of boys to girls is 1:1.
If there are 250 boys, how many
girls are there?
Answer:
250 girls
Step-by-step explanation:
Boys = Girls
250 = Girls
Jen needs to save $180 for a new camping tent. She is able to save $9 each week. How many weeks will Jen need to save to reach her goal? Write an equation to solve the problem. Explain how you found your answer.
(will give brainiest if answered correctly, if you just comment something wrong and a waste of time that is a report)
Dennis buys 32 inches of trim for a craft project. What fraction of a yard does Dennis buy?
Answer:
crrfhjgbnjjjhhbnmlpoutdxcjkougfsweee
Answer:
8/9 OR 32/36, depending on whether or not you need it simplified.
Step-by-step explanation:
We know one yard has 36 inches. Since Dennis buys 32, we'll simply put that over 36 to find our fraction. You'll then get 32/36, and the most simplified form of that is 8/9.
A box of 15 cookies cost nine dollars what is the cost for one cookie
Answer:
9:15 = 0.6
answer : 0,6
.............
Erick bought a game for $9.78, a toy for $6.34, and a sandwich for $4.91. If he started with $30, about how much money does he have left
Answer: $ 8.97
Step-by-step explanation:
Game =$9.78
toy=$ 6.34
sandwich =$4.91
Total amount spent=$9.78+$6.34+$4.91=> $21.03
Total amount=$30
left amount=total amount- amount spent
= $30-&21.03
=$8.97
8 students share 7 oranges. How many oranges does each student get?
Step-by-step explanation:
every student will get 7 slices ....I think si
help i will give brainliest
I need help if right I will mark you as brainlest
Answer:
More than 275 dollars of here budget goes to emergencies
Step-by-step explanation:
11% of 2750 is $302.50
A pizza restaurant advertises the following for one pizza two toppings $20 for toppings $26 using this information determine the cost of a pizza with one topping topping.
EXPLAIN HOW YOU DETERMINED THUS COST!!! please
ASAP
My sister needs help with this problem !!
Can you post step by step
Thank you!
Answer:
C
Step-by-step explanation:
the inequality says that x needs to be less than or equal to 2, we know the first number in an ordered pair is x-axis the only number less than 2 is -2
If the principal is $200 and the interest rate is 4 percent, what is the simple interest earned in one year?
А.$8
B.$50
C.$800
Answer:
A
Step-by-step explanation:
tyler read 2/5 of his homework. he read 4 pages. how many total pages of homework does Tyler have to read?
Tyler have to read total 10 pages of this homework.
What is fraction ?A fraction is a number representing a part of a whole. The whole may be a single object or a group of objects.
Let, the total number of pages of homework be x.
According to the given question
Tyler read [tex]\frac{2}{5}[/tex] of his homework, which is 4 pages of his homework.
⇒ [tex]\frac{2}{5}[/tex]×[tex]x=4[/tex]
⇒[tex]2x=4[/tex]×[tex]5[/tex]
⇒[tex]2x=20[/tex]
⇒[tex]x=10[/tex]
Hence, Tyler have to read total 10 pages of his homework.
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A blueprint shows an apartment with an area of 15 square inches. If the blueprint's scale is 1 inch : 8 feet, what will the actual square footage of the apartment be?
Answer:
120
Step-by-step explanation:
You have 15 inches and 1 and 8 devide 15 multiply 1 and 8
Answer:960? correct for me!
Step-by-step explanation:
can you help me please
9514 1404 393
Answer:
domain: x ∉ {-4, 3}range: y ∉ {1}horizontal asymptote: y=1vertical asymptote: x=3Step-by-step explanation:
The expression reduces to ...
[tex]\dfrac{x^2+9x+20}{x^2+x-12}=\dfrac{(x+4)(x+5)}{(x+4)(x-3)}=\dfrac{x+5}{x-3}\quad (x\ne-4)[/tex]
The domain is limited to values of x where the expression is defined. It is undefined where the denominator is zero, at x=-4 and x=3. The graph of the expression has a "hole" at x=4, where the numerator and denominator factors cancel.
the domain is all real numbers except -4 and +3The function approaches the value of 1 as x gets large in magnitude, but it cannot take on the value of 1.
the range is all real numbers except 1As discussed in 'range', there is a horizontal asymptote at y=1. That is the value you would get if you were to determine the quotient of the division:*
(x+5)/(x-3) = 1 + (8/(x-3)) . . . . quotient is 1
There is a vertical asymptote at the place where the denominator is zero in the simplified expression: x = 3.
vertical asymptote at x=3; horizontal asymptote at y=1_____
* For some rational functions, the numerator has a higher degree than the denominator. In those cases, the quotient may be some function of x. The "end behavior" of the expression will match that function. (Sometimes it is a "slant asymptote", sometimes a higher-degree polynomial.)
Jarrod helped his teachers pack textbooks into boxes for the summer. He packed 6 boxes of science textbooks with 14 books per box. He also packed math textbooks with 12 books per box.
If x represents the total number of boxes he packed, which of the following equations can be used to find the total number of books that Jarrod packed into boxes?
A. y = 84(x - 6) + 12
B. y = 12x + 84
C. y = 84x + 12
D. y = 12(x - 6) + 84
Answer:
Step-by-step explanation:
Is t = 9 a solution to this equation? 63 = 7 t
Answer:
Yes, 9 is the answer.
Step-by-step explanation:
This is a one step equation so you only have to preform one operation to solve. You do the inverse operation of what the equation is doing. In this case you are multiplying, which means you will divide to solve.
63/7 = 9
Can someone help please ASAP
Answer:
U need to draw a triangle
Step-by-step explanation:
Epidemiologists decided to investigate the effect of sunscreens on sunburns. They ran an epidemiologic study to see the association of sunscreens and sunburns. Overall, 460 people have enrolled in the study. Investigators randomly allocated 230 people to the treatment group (sunscreens) and 230 to the control group (placebo). They exposed those 460 people to the high mountain trail on a sunny day. At the end of the study, 30 people developed sunburns in the sunscreen group and 130 people developed sunburns in the placebo group. What is the relative risk of sunburns in the sunscreen treatment group compared with the control group in this study
Answer:
0.23
Step-by-step explanation:
Total number enrolled in the study = 460
Number of subjects in treatment group = 230
Number who developed sunburn in treatment group = 30
Number of subjects in placebo = 230
Number who developed sunburn in placebo = 130
Proportion of treatment group who developed sunburn = 30 / 230 = 0.130
Proportion of placebo who developed sunburn = 130 / 230 = 0.565
The relative risk of sunburn in treatment group compared with control group :
Proportion of sunburn in treatment / proportion of sunburn in placebo
0.130 / 0.565 = 0.23
solve for bc !.??.?.?.?.
Answer:
A) 12
Step-by-step explanation:
all triangle CBF is similar to triangle GEF by aa similarity.
EF/BF = EG/BC
6/18 = 4/BC
therefore BC must be 12.
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