Answer:
The area of the trapezoid is 57.5 in.²
Step-by-step explanation:
The given information of the trapezoid are;
The vertices of the trapezoid = QRST
The altitude of the trapezoid = 5 in.
The shape the altitude divides the trapezoid into = A square and an isosceles right triangle
The long side of the rectangle = 9 in.
Therefore, we have;
The legs of an isosceles right triangle are equal
Given that one of the legs of the isosceles right triangle = The altitude of the triangle = 5 in.
Therefore, for the isosceles triangle, the length of the other leg = 5 in.
Therefore;
The area of the right triangle = 1/2 × Base × Height (altitude)
The area of the right triangle = 1/2 × Leg × leg = 1/2 × (Leg)²
∴ The area of the right triangle = 1/2 × 5 in. × 5 in. = 12.5 in.²
The length of the rectangle is given as l = 9 in.
The height of the rectangle, h = The altitude of the rectangle = 5 in.
The area of the rectangle, A = l × h
∴ The area of the rectangle, A = 9 in. × 5 in. = 45 in.²
The area of the trapezoid = The area of the right triangle + The area of the rectangle
The area of the trapezoid = 12.5 in.² + 45 in.² = 57.5 in.²
I WILL MARK BRAINLST
Answer:
neither a function or a relation
Step-by-step explanation:
The graph does not pass the vertical line test, thus not a function.
In the graph, x-coordinates are not related to y-coordinates through a relation, thus not a relation.
Can somebody help with this problem?
Answer:
x=-5 or -5
Step-by-step explanation:
x - 4 = 2x + 1
Subtract x from both sides canceling out the x on the left, getting...
-4 = x + 1
Then subtract the 1 from both sides canceling out the 1 on the right, getting...
-5 = x
Subtracting x from 2x gets you 1x which you just write as x because there is only one x. Doing the equation from the other side will still get you the same answer and I will show you.
x - 4 = 2x + 1
-x - 4 = 1
-x = 5
x = -5
Hope this helps!
Which expression can be used to determine the total weight of c crabs that weigh 6.2 ounces each and s shrimp that weigh 0.85 ounces each?
A 7.05(c+s)
B 6.2c+0.85s
C 0.85c−6.2c
D 6.2c−0.85s
Identify the outliers in the scatter plot given below.
Answer:
A) (1, 6) and B) (9,2) im pretty sure
Step-by-step explanation:
Which of the following expressions is equivalent to 4(m – 16)?
Answer:
4m - 64
Step-by-step explanation:
Solve 4(m - 16)
4(m - 16) = 4 x m - 16 x 4
= 4m - 64
I need the answer ASAP !!! Pls
Given:
The diagram of two right triangles.
To find:
The value of d and a.
Solution:
In a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
(a) In first triangle,
[tex]\tan 60^\circ=\dfrac{d}{4}[/tex]
[tex]\sqrt{3}=\dfrac{d}{4}[/tex]
[tex]4\sqrt{3}=d[/tex]
Therefore, [tex]d=4\sqrt{3}[/tex].
(b) In second triangle,
[tex]\sin 45^\circ=\dfrac{a}{2}[/tex]
[tex]\dfrac{1}{\sqrt{2}}=\dfrac{a}{2}[/tex]
[tex]\dfrac{2}{\sqrt{2}}=a[/tex]
[tex]\sqrt{2}=a[/tex]
Therefore, [tex]a=\sqrt{2}[/tex].
The school cafeteria sells apples for $0.25 and pears for $1.15. On Thursday
they sold 9 pieces of fruit earning a total of $4.95. How many of each item did
they sell?
A. 5 apples and 4 pears
B. 5 apples and 3 pears
C. 7 apples and 2 pears
D. 6 apples and 3 pears
Answer:
D
Step-by-step explanation:
I looked first at what added together equals 9. then I did the equation 0.25x+1.15y=4.95. I put the numbers into the equation and got my answer
what is the square rot of 169?
Answer:
13
Step-by-step explanation:
used a calculator
A shipping box has a height of 6 centimeters. It has a base with an area of 56 square centimeters. What is the volume?
Answer:
3.36 meters
Step-by-step explanation:
How do you find percentages?
Step-by-step explanation:
if you have 3/4 you divide the part, 3, by the whole, 4
3 ÷ 4 = 0.75
then multiply 0.75 by 100, 75, then add a percentage sign: 75%
Just help me please solve the following
Answer:
mk lets dk this. also remember don't get stressed over stuff like this! you got it!
Step-by-step explanation:
1) 5
2) 3
3) 6
4) 5
5) 9
6) 8
7) 3
because there were so many I didn't include the work but if you need work for one of them I can give you!
1. x = 5
2. y = 3
3. x = 6
4. y = 5
5. y = 9
6. w = 8
7. x = 3
Paul had a job during his summer vacation he earned 11.25 dollars per hour he worked 20 hours per week for 6 weeks. How much money did he earn?
What is the area, in square meters, of the isosceles trapezoid below? 15.8 m 5-4 m 6.6 m Answer: A = ____ m squared
Answer:
5.618773 m2
I hope that this is the answer.
Answer:
answer is 60.48 m squared
Step-by-step explanation:
use the formula
a=1/2(b1+b2)h
a=1/2(15.8+6.6)h
a=1/2(22.4*5.4)
a=1/2(120.96)
a=120.96/2
a=60.48m
Describe the transformations necessary to get from the graph of the parent function f(x)=x? to the
graph of the given function.
G(x)= 2(x - 3)^2 + 9
(Compress,Stretch)the graph vertically by a factor of_______
then translate the graph_______units to the (right,left)and _______ units (down,up)
Answer:
translate the graph 5 units left and down 2 units
Step-by-step explanation:
To translate the function f(x) by an amount h units right and k units up, make the transformation ...
g(x) = f(x -h) +k
Comparing this to your equation,
g(x) = f(x +5) -2
we see that the translation is h = -5, k = -2.
The graph of f(x) is translated 5 units left and 2 units down to make the graph of g(x).
help plz i’ll give brainliest
- A cereal manufacturer needs to change the
size of its cereal box to fit on narrower
shelves. The dimensions of the current box
are 12 inches high by 9 inches wide by 2
inches deep. The new box will have the
same height and volume, but the width will
be reduced by 1 inch. What will be the
depth, to the nearest hundredth of an inch, of
the new cereal box?
Answer:
2.25 inch
Step-by-step explanation:
The current volume of box :
Volume = height * width * depth
Volume = 12 * 9 * 2
Volume = 216 in³
New dimension :
Height and volume are the same
Width = 9 - 1 = 8
Depth = x
Volume = height * width * depth
216 = 12 * 8 * x
216 = 96x
x = 216 / 96
x = 2.25 inch
help please. the one about the restaurant.
1. Find the slope from the ordered pairs. (1,-19), (2,-7) *
12
-12
13
-13
Answer:
12
Step-by-step explanation:
Use the formula y1-y2/x1-x2 to find the slope from two points.
12
Plug in values into the formula using the given points
-7- -19/2-1
=--7+19/1
=12/1
=12
Answer:
The answer is 12
Step-by-step explanation:
The equation to find slope is [tex]m=\frac{y2-y1}{x2-x1}[/tex]. M is the slope.Then you need to add in the numbers. Your equations should look like this: [tex]m=\frac{-7+14}{2-1}[/tex] 14 is now positive because it was originally negative.Then you just solve it to get your answer 12.i need help finding the height of a cone and i do not know where to start. any help will be greatly appreciated:))
Answer:
h=12
Step-by-step explanation:
First look at the formula for finding the volume of a cone- [tex]V=\pi r^{2} \frac{h}{3}[/tex]
Next substitute any variables for values you already know- [tex]144\pi =\pi (6)^{2} \frac{h}{3}[/tex]
Then solve the equation.
Please help me. I don’t understand this problem.
Answer:
d = 637 ft below the surface
Step-by-step explanation:
Given
P = 14 + [tex]\frac{6}{13}[/tex] d
To find d when P = 308, then
14 + [tex]\frac{6}{13}[/tex] d = 308 ( subtract 14 from both sides )
[tex]\frac{6}{13}[/tex] d = 294 ( multiply by 13 to clear the fraction )
6d = 3822 ( divide both sides by 6 )
d = 637 ft
Answer:
637 feetStep-by-step explanation:
[tex]P=14+\dfrac6{13}d\\\\\\P=308\,,\qquad\qquad d=??\\\\\\308=14+\dfrac6{13}d\\\\ 308-14=\dfrac6{13}d\\\\294=\dfrac6{13}d\\\\d=294:\frac6{13}\\\\ d=294\cdot\frac{13}6\\\\d=637\,ft[/tex]
Need answer Like ASAP
Answer:
I believe its C
Step-by-step explanation:
My bad if im wrong tho
I need the volume of these two, please give me a quick answer. I don't have much time
Answer:
1) V≈923.62824
2) V= 28.27433
Answer:
1. 923.16 or 294 Pi
2. 3052.08 or 972 Pi
Step-by-step explanation:
Formula for volume of a cone = Pi r^2 h/3
If diameter is 14, radius is 7
Pi 7^2 18/3
Pi 49 6
Pi 294
923.16
Formula for volume of a sphere = 4/3 pi r^3
If diameter is 18, radius is 9
4/3 pi 9^3
4/3 pi 729
972 pi
3052.08
#5 Need help with this
Answer:
Maple grove associates
Step-by-step explanation:
7(m+-13)=-42
(Solve for m)
Please help
Answer:
m=7
Step-by-step explanation:
Replace all occurrences of + − with a single -. A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because 1⋅ − 1 = − 1
7(m-13)=-42
Divide each term by 7 and simplify.
m-13=-6
Move all terms not containing m to the right side of the equation.
m=7
Hope this helps!
Plz mark brainiest! =D
help help help help help help help help help help
Answer:
5/15
Step-by-step explanation:
17/15-x/15=12/15
x=5
if my answer helps please mark as brainliest.
Answer:
5/15
Step-by-step explanation:
17/15-x/15=12/15
x=5
I feel like everyone on this app has just given up, because no one has been helping me with any of my math stuff. And it's just like a ghost town here
Answer:
i see how you feel but ._. i just aint good at math shawty
Step-by-step explanation:
Solve The System of Linear Equations
3y = -2x + 33 and -4y = 8x - 92
Answer:
-3060+6y
Step-by-step explanation:
A quarter horse often excels at running races of 1/4 mile or less .how many feet is that
Answer:
1320ft
Step-by-step explanation:
1 mile is equal to 5280 feet, divide 5280/4
this will result in a quarter mile, being 1320ft. So for the question "1/4 mile or less" the Answer is the horse excels in 1320ft mile races
What is the remainder of (x 3 + 5x 2 − 32x − 7) ÷ (x − 4)?
Answer:
x^2 + 9x + 4 + 9/x - 4
Step-by-step explanation:
Simplify
I need help please!!!!!
Answer:
55
Step-by-step explanation:
6m+90=96m
