Answers
There are two shapes a rectangle and a triangle.
Area of a rectangle = Length x width = 10 x 8 = 80 square ft.
Area of triangle = 1/2 x base x height = 1/2 x 6 x 8 = 24 square ft.
Total area = rectangle + triangle = 80 + 24 = 104 square ft.
Answer 104 square ft.
Answer:
104 ft^2
Step-by-step explanation:
First find the area of the rectangle
A = l*w = 10*8 = 80
Then find the are of the triangle
A = 1/2 bh = 1/2 (6) * 8 = 24
Add the areas together
80+24 = 104
Related Questions
7. Complete the square to write
c(x)= x2 – 16x + 84 in vertex form.
Answers
Answer:
(x-8)²+20 vertex=(8,20)
Step-by-step explanation:
(x-8)² = -20
Graphing Form: y = 1(x-8)²+20
plzz help steps if possible if not its ok j=i just need to pass this class
Answers
Answer:
[tex]\text{(B) }\cos 40^{\circ}=\frac{x}{60}[/tex]
Step-by-step explanation:
In any triangle, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse (longest side) of the triangle. (a/h)
The angle marked 40 degrees has an adjacent side of [tex]x[/tex] and the hypotenuse of the triangle is 60.
Therefore, we have the equation:
[tex]\boxed{\cos 40^{\circ}=\frac{x}{60}}[/tex]
Six teachers and 12 students volunteer for a committee to discuss extra-curricular activities. How many committees of 5 people can be made if:
a) there must be exactly 3 students on the committee
b) there must be at least one teacher and at least one student on the committee
Answers
Answer:
a) 11,880
b) 7,770
Step-by-step explanation:
The number of teachers that volunteer = 6 teachers
The number of students that volunteer = 12 students
The number of people in the committee = 5 people
a) The exact number of student on the committee = 3 student
Therefore, the number of teachers in the committee of 5 = 5 - 3 = 2
The number of teachers in the committee = 2 teachers
We get;
The number of committees that can be made = ₁₂C₃ × ₆C₂ = 792×15 = 11,880
b) When there is at least one teacher and at least one student on the committee, we have;
₁₂C₄ × ₆C₁ + ₁₂C₃ × ₆C₂ + ₁₂C₂ × ₆C₃ + ₁₂C₁ × ₆C₄ = 7,770
The number of committees having at least one teacher and at least one student = 7,770
Find the area of the triangle.
A. 27.8km^2
B. 32.8 km^2
C.14.9 km^2
D. 54.8km^2
Answers
Answer:
32.8 mi²
Step-by-step explanation:
Hi there!
Area of a triangle when given two sides, a and b, and the angle that conjoins them, C:
[tex]A=\frac{1}{2} ab*sinC[/tex]
Plug in the known information:
a=11, b=6, C=97°
[tex]A=\frac{1}{2} (11)(6)*sin(97)\\A=33sin(97)\\A=32.8[/tex]
Therefore, the area of the triangle is approximately 32.8 mi².
I hope this helps!
Answer:
B
Step-by-step explanation:
The trick here is to find the height. The answer is
height = sin(180 - 97) * 11
The height is found by finding the supplement of 97, taking the sin of that angle and multiplying by 11.
There is a drawing required. You need to extend ZY until a line from x meets ZY (extended) at right angles. When that happens you find the sine of the supplement.
height = sin(83)*11
height = 10.92
Now use the standard area formula.
Area = base (ZY) * height / 2
base = 6
height = 10.92
Area = 6 * 10.92 /2
Area = 32.75
Which recursive formula can be used to generate the sequence below, where f(1) = 6 and n ≥ 1?
6, 1, –4, –9, –14
Answers
Answer:
f(n) = f(n - 1) - 5
Step-by-step explanation:
The recursive formula allows a term in the sequence to be found by adding the constant difference to the previous term.
Here d = 1 - 6 = - 4 - 1 = - 9 - (- 4) = - 14 - (- 9) = - 5 , then
f(n) = f(n - 1) - 5 with n ≥ 1 and f(1) = 6
please help me out asap
(geometry)
Answers
Answer:
x = 30
Step-by-step explanation:
If A and B were parallel, then 2x + 50 and 5x - 80 are same- side interior angles and sum to 180° , then
2x + 50 + 5x - 80 = 180
7x - 30 = 180 ( add 30 to both sides )
7x = 210 ( divide both sides by 7 )
x = 30
Show and explain all of the steps used in order to simplify the following rational expression 3x^(2)-3x / 3x^(3)-6x^(2)+3x to 1 / x-1.
Answers
Answer:
3x^2 + x^4 - x^3 + 3 - 6x
Step-by-step explanation:
Find Least Common Multiplier of 3x^(2)-3x / 3x^(3)-6x^(2)+3x to 1 / x-1
3x^2 - 3 . x/3 x^3 - 6x^2 + 3x
Apply exponent rule: a^b + c = a^b a^c
x^2 = xx, x^3 x/3 = xx^2, x^2 = xx
= 3xx - 3xxx - 6xx + 3x
Rewrite -6 as 2 . 3
= 3xx - 3xxx + 2 . 3xx + 3x
Factor out common term 3x
= 3x(x - x^2(x/3) -2x + 1)
= 3x(- x^3/3 - x + 1)
Multiply each factor with the highest power:
(- x^3/3 - x + 1) . 3 . (1/x - 1\) . x
Simplify
3x^2 + x^4 - x^3 + 3 - 6x
I need to verify this function is symmetric with respect to the y-axis. How would I go about doing that? Function: x^4-5x^2+3
Answers
Answer:
[tex]f(x) = x^4-5x^2+3[/tex] is symmetric to the y-axis
Step-by-step explanation:
Given
[tex]f(x) = x^4-5x^2+3[/tex]
Required
Determine if it is symmetric
First, we check if the function is even by calculating f(-x)
[tex]f(x) = x^4-5x^2+3[/tex]
[tex]f(-x) = (-x)^4-5*(-x)^2+3[/tex]
[tex]f(-x) = x^4-5*x^2+3[/tex]
We have:
[tex]f(x) = f(-x) = x^4-5*x^2+3[/tex]
This implies that the function is even, and even functions are symmetric to the y-axis.
Hence:
[tex]f(x) = x^4-5x^2+3[/tex] is symmetric to the y-axis
Vicky makes jewelry.she uses 42 beads for each necklace that she makes,and she has 500 beads.how many necklaces can she make explain with work?
Answers
Answer:
11
Step-by-step explanation:
Vicky used 462 beads to make 11 necklaces, she would have left 38 beads.
Answer:
He make seven necklaces
Find Point P is the incenter of DEF . point p of concurrency of the angle bisectors . find PT
Answers
PT is 8 because since P is the incenter it's equidistant from all sides.
Find the missing segment
Answers
Step by step explanation: You can find one side by subtracting 12 from 48 which gets you this set up 26/12=x/36, resulting in 12x=936, the final step is to divide both sides by 12 which provides you with the final answer of 78
What type of slope is demonstrated by the line below? 5 (-1,3) --5 5 (0.-2)
A. Zero slope
B. Positive slope
C. Undefined slope
D. Negative slope
Answers
Answer:
D. Negative slope
Step-by-step explanation:
The slope goes down from left to right, so it is a negative slope
Up from left to right is a positive slope
A vertical line is undefined
A horizontal line is zero slope
Candice bought 6 dozen eggs and broke 9 eggs how many eggs did she have left
Answers
Answer:
63
Step-by-step explanation:
12x6=72
72-9=63
the answer is 63
Step 1: Find initial amount of eggs
Before we can solve for how many eggs are left, we must first find out how many eggs Candice initially had. We are told she bought six dozen eggs. Since a dozen is twelve, we can find out how many eggs she had by multiplying twelve and six. Let’s do this now.
6×12= 72
Step 2: Find solution
Now let’s solve for how many eggs Candice has left. We know that she bought 72 eggs, and that she broke 9. To find the answer, we need to subtract 9 from 72.
72-9= 63
Hope this helps! Comment below for more questions.
Gabriela was given a 15% increase in wages. If she earned $36,000 last year, what can she expect to earn this year?
Answers
The increase in the amount of wages of Gabriela is $ 41,400
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount after increase in wages be = A
Now , the initial amount of Gabriela be = $ 36,000
And , the percentage increase in the wages = 15 %
So , the equation will be
Total amount after increase in wages A = initial amount + ( percentage increase x initial amount )
Total amount after increase in wages A = 36,000 + ( 15/100 x 36,000 )
Total amount after increase in wages A = 36000 + ( 15 x 360 )
Total amount after increase in wages A = 36000 + 5400
Total amount after increase in wages A = $ 41,400
Therefore , the value of A is $ 41,400
Hence , The increase in the amount of wages of Gabriela is $ 41,400
To learn more about equations click :
https://brainly.com/question/10413253
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Melinda walked to the mall at 4 miles per hour and then rode back home in a bus at 24 miles per hour. If her total traveling time was 14 hours, how far was it to the mall?
Answers
Given:
Melinda walked to the mall at 4 miles per hour and then rode back home in a bus at 24 miles per hour.
Total traveling time was 14 hours.
To find:
The distance between Melinda's house and mall.
Solution:
Formula used:
[tex]Time=\dfrac{Distance}{Speed}[/tex]
Let x miles be the distance between Melinda's house and mall.
Melinda walked to the mall at 4 miles per hour. So, the time taken by Melinda is [tex]\dfrac{x}{4}[/tex] hours.
Speed of bus is 24 miles per hour. So, the time taken by bus is [tex]\dfrac{x}{24}[/tex] hours.
Total traveling time was 14 hours.
[tex]\dfrac{x}{4}+\dfrac{x}{24}=14[/tex]
[tex]\dfrac{6x+x}{24}=14[/tex]
[tex]7x=14\times 24[/tex]
Divide both sides by 7.
[tex]\dfrac{7x}{7}=\dfrac{14\times 24}{7}[/tex]
[tex]x=2\times 24[/tex]
[tex]x=48[/tex]
Therefore, the mall is 48 miles far from Melinda's house.
Which of the
following shows the graph of y = 2e*?
Answers
How many even integers are in the range 5n to 5n + 10 if 5n is a positive odd integer? I will mark brainliest and give heart.
Answers
The integers ranging from 5n to 5n + 10, with 5n as a positive odd integer, in each case, the range contains three even integers.
Determining the integersWhen n = 1:
The range is 5(1) to 5(1) + 10
= 5 to 15.
There are three even integers in this range: 6, 8, and 10.
When n = 3:
The range is 5(3) to 5(3) + 10
= 15 to 25.
There are three even integers in this range: 16, 18, and 20.
When n = 5:
The range is 5(5) to 5(5) + 10
= 25 to 35.
There are three even integers in this range: 26, 28, and 30.
In each case, the range contains three even integers.
Learn more on positive integers here https://brainly.com/question/1367050
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What is the lateral area of the pyramid shown below?
26 ft.
20 ft.
20 ft.
Answers
Answer:
Your correct answer is 1514.27
Step-by-step explanation:
Here is my step by step for you!
need help with part b of the attached screenshot please
Answers
9514 1404 393
Answer:
(b) 82.9253
Step-by-step explanation:
The first attachment shows the rectangles. The second shows the sum of their areas.
explain how the exteriorv relates to the i
Answers
Step-by-step explanation:
in this situation
A+B =D
given the preimage and image, find the dilation scale factor
Answers
Given:
The preimage and image of a triangle in the given figure.
To find:
The dilation scale factor.
Solution:
From the given figure it is clear that the vertices of the triangle ABC are A(-2,-2), B(-1,2) and C(2,1).
The vertices of the triangle A'B'C' are A'(-4,-4), B'(-2,4) and C'(4,2).
If a figure is dilated by factor K with (0,0) as the center of dilation, then
[tex](x,y)\to (kx,ky)[/tex]
Let the scale factor be K, then the image of point A is:
[tex]A(-2,-2)\to A'(k(-2),k(-2))[/tex]
[tex]A(-2,-2)\to A'(-2k,-2k)[/tex]
From the given figure it is clear that the image of point A is A'(-4,-4).
[tex]A'(-2k,-2k)=A'(-4,-4)[/tex]
On comparing both sides, we get
[tex]-2k=-4[/tex]
[tex]k=\dfrac{-4}{-2}[/tex]
[tex]k=2[/tex]
Therefore, the dilation scale factor is 2.
Amy needs to use a combination of the 12-cup and 36-cup baking pans to fill the order. With only eighteen 12-cup baking pans in her shop, how many of the 36-cup baking pans does she need to complete the order?
Answers
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the total orders is not given.
To solve this question, I will assume a value for the total number of order.
Let
[tex]x \to 12-cup[/tex]
[tex]n_x = 18[/tex] ---- number of 12-cup
[tex]y \to 36-cup[/tex]
[tex]n_y = ??[/tex] ---- number of 36-cup
[tex]n \to[/tex] Total order
Required
Calculate [tex]n_y[/tex]
To do this, we make use of the following equation:
[tex]n_x * x + n_y * y = n[/tex]
Substitute known values
[tex]18 * 12 + n_y * 36 = n[/tex]
[tex]216 + 36n_y= n[/tex]
Collect like terms
[tex]36n_y= n - 216[/tex]
Divide both sides by 36
[tex]n_y= \frac{n - 216}{36}[/tex]
Assume the number of orders is: 540 cups
The equation becomes
[tex]n_y= \frac{540 - 216}{36}[/tex]
[tex]n_y= \frac{324}{36}[/tex]
[tex]n_y= 9[/tex]
Use a calculator to determine the unknown angle, to the nearest degree, in each of the following expressions.
tan A = 5/4
cos G = 0.88
Answers
Answer:
Using a calculator;
A is approximately 51.34°
G is approximately 28.36°
Step-by-step explanation:
Part 1
The given trigonometric ratio is presented as follows;
tan A = 5/4
Therefore, the angle, A = arctan(5/4)
Using a calculator, the value of A is found as follows;
1. Ensure the angle mode of the calculator is set to the correct value (the selected mode here is degrees)
2. Entering 5/4 into the calculator, using the keypad
3 . Selecting the arctan button to give, A ≈ 51.34°
Part 2
The given trigonometric ratio is cos G = 0.88
Therefore, G = arccos(0.88)
1. Ensure the angle mode of the calculator is set to the correct value (the selected mode here is degrees)
2. Enter 0.88 into the calculator by typing
3. Select arccos from the function menu, to give
arcos(0.88) = G ≈ 28.36°.
9. Calculate the angle of elevation of the line of sight of a person 27.5 m away from a tree, whose
eye is 1.8 m above the ground, and is looking at the top of a 19.4 tree. (draw a diagram and
answer to the nearest degree)
Answers
Answer:
32.61° is the answer
Step-by-step explanation:
Tanx=17.6/27.5
What is 13/3.5 and could you give a step by step
Answers
Answer:
[tex]3\frac{5}{7}[/tex]
Step-by-step explanation:
13 ÷ 3.5
[tex]3.5=3\frac{5}{10}[/tex]
Find the domain and explain pls and thankyouuu
Answers
Answer:
[tex]x\neq 0\\x\neq 2[/tex]
Step-by-step explanation:
simplify the equation: [tex]\frac{6}{x(x-2)}[/tex]
Since the denominator can never equal 0, x can never equal 0 or 2.
Meaning that the domain is any x-value other than 0 or 2.
which point is on the line that passes through point H and is perpendicular to line FG?
Answers
Answer:
The correct answer is (-6, 10).
Step-by-step explanation:
You can find the equation of the blue line and then find out which point is on the perpendicular line to that blue line but you also can figure this out visually by looking at where the points are.
Feel free to message me if you still have questions :)
Answer:
(–6, 10)
Step-by-step explanation:
Given l | m | n, find the value of x.
Z
m
54°
→n
8
Submit Answer
Answer: 2 =
attempt 1 out of 2
Plsssssssss helppppp
Answers
Answer:
126
Step-by-step explanation:
54 + x = 180
x = 180 - 54
x = 126
Instructions: Find the measure of the missing angles in the kite
Answers
Answer:
m∠1 = 103
m∠2 = 103
Step-by-step explanation:
by definition, the opposite angles of a kite are congruent.
we know that a quadrilateral's angles add up to 360.
117 º+ 37º + 2xº = 360º
2xº = 206º
xº=103º
Identify the value of y.
Answers
Answer:
y = 3
Step-by-step explanation:
