Answer:
4. A = 1029 cm²Steps:
A = (35×21)+(21+2×3.5)×21/2
A = 735 + (21+7)×21/2
A = 735 + 28×21/2
A = 735 + 588/2
A = 735 + 294
A = 1029 cm²If a = 24 ft, b = 31 ft, and c = 37 ft, what is the area of the backyard? help me
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Answer: 27528 ft^3
Explanation:
24 x 31 x 37 = 27528
I hope this helped!
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- Zack Slocum
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What is the surface area of the right prism below?
What is the length of the circumference of a hula hoop with a diameter of 32 inches?
Use π = 3.14 in your calculations.
1Points
A
16 in
B
100.48 in
C
200.96 in
D
803.84 in
Answer:
B
Step-by-step explanation:
C = πd = 3.14 * 32 = 100.48in
Select all the equations that have no solution and state your reasoning as of "why" they do not have a solution. +6=5+ x+6=5+x −2(−3)=-2+6 −2(x−3)=-2x+6 4−4=3+2 4−4x=3x+2 4(+1)=3(+2) 4(x+1)=3(x+2) 5−3=-3+4 5−3x=-3x+4
Equations:
[tex]x+6=5+x[/tex]
[tex]-2(x-3)=-2x+6[/tex]
[tex]4-4x=3x+2[/tex]
[tex]4(x+1)=3(x+2)[/tex]
[tex]5-3x=-3x+4[/tex]
Answer:
[tex]x+6=5+x[/tex]
[tex]5-3x=-3x+4[/tex]
Step-by-step explanation:
Given
[tex]x+6=5+x[/tex]
[tex]-2(x-3)=-2x+6[/tex]
[tex]4-4x=3x+2[/tex]
[tex]4(x+1)=3(x+2)[/tex]
[tex]5-3x=-3x+4[/tex]
Required:
Which have no solution
[tex]x+6=5+x[/tex]
Subtract x from both sides
[tex]x -x+6 = 5 + x - x[/tex]
[tex]6 = 5[/tex]
[tex]x+6=5+x[/tex] has no solution because [tex]6 \ne 5[/tex]
[tex]-2(x-3)=-2x+6[/tex]
Open bracket
[tex]-2x + 6 = -2x + 6[/tex]
Both sides are equal.
Hence, there is an [tex]Infinite\ Number[/tex] of Solutions
[tex]4-4x=3x+2[/tex]
Collect like terms
[tex]-3x - 4x = 2 - 4[/tex]
[tex]-7x = -2[/tex]
Solve for x
[tex]x = \frac{-2}{-7}[/tex]
[tex]x = \frac{2}{7}[/tex] --- This has a solution
[tex]4(x+1)=3(x+2)[/tex]
Open brackets
[tex]4x + 4 = 3x + 6[/tex]
Collect like terms
[tex]4x-3x = 6 - 4[/tex]
[tex]x = 2[/tex] --- This has a solution
[tex]5-3x=-3x+4[/tex]
Add 3x to both sides
[tex]5 - 3x + 3x = -3x + 3x + 4[/tex]
[tex]5 = 4[/tex]
[tex]5-3x=-3x+4[/tex] has no solution because [tex]5 \ne 4[/tex]
I need help ASAP please
Answer:
B
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{3}{c}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
c = 3[tex]\sqrt{2}[/tex]
Does 5/8 and 12/20 form a proportion
WILL GIVE BRAINLIEST
La propiedad del producto cero indica que si la multiplicación de dos valores es igual a cero, se puede decir que alguno o ambos valores el igual a cero PORQUE Un producto de factores es cero si y solo si ,uno o más de los factores es cero.
the weight of 65 books is 13 kg what is the weight of 80 Such books
The record high temperature in January was 18 degrees. The record low temperature was –7 degrees. What is the amount of change between the high and low temperatures
Answer: [tex]25^{\circ}[/tex]
Step-by-step explanation:
Given
The highest temperature recorded is [tex]18^{\circ}[/tex]
The lowest temperature recorded is [tex]-7^{\circ}[/tex]
The amount of change between the high and the low temperatures is
[tex]\Rightarrow 18-(-7)=18+7\\\Rightarrow 25^{\circ}[/tex]
Which of the following statements is FALSE about the circumference of a circle?
PLEASE HELP
Answer: It's C=πr2
Step-by-step explanation: I took the test
2 If a transformation is applied to a figure and a new figure is created, which
transformation would NOT preserve congruence? (8.108, SS, RC3)
F. (x, y) + (x + 5, y - 4)
G (x,y) → (-y, x)
H (x,y) → (3x, 3y)
J (x,y) → (x, -y)
A. F
B. G
C. H
D. j
Fill in the blanks with one of the options below.
Given
Reflexive Property of Congruence
Definition of a Midpoint
Definition of an Equilateral Triangle
Answer:
4 ) reflexive property of congrunce
5 ) Definition of Equilateral Triangle
Step-by-step explanation:
4) the lines are equal to each other
5) if one triangle is equal to another triangle than they must be the same triangle
Lia brought 21 shirts and plants. Her total was $357. Pants cost $25 each, and shirts cost $14.50 each. How many of each item did she buy? Show your work
Will give points
Answer:
x=5 and y=16
Step-by-step explanation:
x = number of pants
y = number of shirts
Set up equations:
25x + 14.5y = 357x + y = 21Set the equations up as a system:
25x+14.5y=357
x+y=21
Steps:
Solve the system by substitution.
(You can also solve this system by elimination.)
25x + 14.5y= 357
x + y = 21
Step 1: Solve x+y=21 for x:
(x + y) − y = (21) − y(Subtract y from both sides)
x = −y + 21
Step 2: Substitute −y + 21 for x in 25x + 14.5y = 357:
25x + 14.5y = 357
25(−y + 21) + 14.5y = 357
−10.5y + 525 = 357 (Simplify both sides of the equation)
(−10.5y + 525) − 525 = (357) − 525(Subtract 525 to both sides)
−10.5y = −168
−10.5y / −10.5 = −168 / −10.5 (Divide both sides by -10.5)
y = 16
Step 3: Substitute 16 for y in x = −y + 21:
x = −y + 21
x = −16 + 21
x = 5 (Simplify both sides of the equation)
Answer:
x=5 and y=16
PLEASE SOMEONE!!HELP!! I need the answer right now
Answer:
m = -1, b = 5.
Step-by-step explanation:
We can find the slope, m, by plugging in our coordinates into the slope formula: [tex]\frac{y2-y1}{x2-x1} =\frac{2-7}{3-(-2)}=\frac{-5}{5}=-\frac{5}{5}=-\frac{1}{1}=-1[/tex]. That gives us the slope. Now we can fill that in the slope intercept formula: [tex]y=-1x+b[/tex]. We know one of the coordinates and the slope, which allows to find the y-intercept. We know that for every 1 unit down on the line, we move 1 unit right, and vice versa. Meaning we can just count down (or up in this case), so, (-2, 7), (-1, 6), (0, 5). Therefore, our y intercept is 5.
A dune buggy company rents dune buggies at the beach. They charge an initial fee of $30 plus
$10 for each hour the buggy is rented. Let x represent the number of hours and y represent the
total cost of the rental.
1. If Clint rents a dune buggy for 5 hours, how much should he expect to pay?
Answer:
$80
Step-by-step explanation:
10x + 30 = y
He wants to rent it for 5 hours, so we replace x with 5.
10(5) + 30 = 80
He should expect to pay $80 for the rental.
This triangle-based oblique pyramid has a volume of 13 cm 9 cm 4 cm 3 cm What is the height h of the pyramid?
Answer:
6.5
Step-by-step explanation:
Answer:
6.5 centimeters (proof below!)
Step-by-step explanation:
WILL GIVE BRAINLIEST
Answer:
The answer is D
Find the circumference of the given circle. Use 3.14 for pi, and round your answer to the nearest tenth.
A) 59 in
B) 29.5 in
C) 19.2 in
D) 554.3 in
Answer:
Sorry, I can't complete this without knowing the radius, or diameter.
Step-by-step explanation:
help me plzzzzzzzzzzzzzzzzzzz
Answer:
-5
Step-by-step explanation:
1*1=1
1-6= -5
Hope this helped!
can someone pls help me
Answer:
+/-11
Step-by-step explanation:
It's plus or minus eleven
help me please with my geometry
Answer: 47.86
Step-by-step explanation:
tan x =42/38
tan x= 1.105
x= 47.86
Which expression is equivalent to -28 x 2 + 35 x ?
Answer:
35+28=31
Step-by-step explanation:
If the mass of an object is 50Kg and the acceleration is 2 m/s what is the force?
Answer:
Check pdf
Step-by-step explanation:
What is the output, or y-value, when you input x = -2 into the function:
y = x5 + 63
Answer:
y = 31
Step-by-step explanation:
Given
y = [tex]x^{5}[/tex] + 32 ← substitute x = - 2
y = [tex](-2)^{5}[/tex] + 63 = - 32 + 63 = 31
In the standard (x,y) coordinate plane a right triangle has vertices at (-3,4)(3,4)(3,-4) what is the length in coordinates units of the hypotenuse of this triangle
Given:
The vertices of a right triangle are:
[tex](-3,4),(3,4),(3,-4)[/tex]
To find:
The length of the hypotenuse of the given right triangle.
Solution:
Let the vertices of the right triangle are [tex]A(-3,4),B(3,4),C(3,-4)[/tex].
The distance formula is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, we get
[tex]AB=\sqrt{(3-(-3))^2+(4-4)^2}[/tex]
[tex]AB=\sqrt{(3+3)^2+(0)^2}[/tex]
[tex]AB=\sqrt{(6)^2+0}[/tex]
[tex]AB=\sqrt{36}[/tex]
[tex]AB=6[/tex]
Similarly,
[tex]BC=\sqrt{(3-3)^2+(-4-4)^2}[/tex]
[tex]BC=\sqrt{(0)^2+(-8)^2}[/tex]
[tex]BC=\sqrt{64}[/tex]
[tex]BC=8[/tex]
And,
[tex]AC=\sqrt{(3-(-3))^2+(-4-4)^2}[/tex]
[tex]AC=\sqrt{(6)^2+(-8)^2}[/tex]
[tex]AC=\sqrt{36+64}[/tex]
[tex]AC=\sqrt{100}[/tex]
[tex]AC=10[/tex]
Now, taking sum of squares of two smaller sides, we get
[tex]AB^2+BC^2=6^2+8^2[/tex]
[tex]AB^2+BC^2=36+64[/tex]
[tex]AB^2+BC^2=100[/tex]
[tex]AB^2+BC^2=AC^2[/tex]
By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.
Therefore, the length of the hypotenuse is 10 units.
Tom spent half of his allowance going to the movies. He washed the family car and earned 7 dollars. What is his weekly allowance if he ended with 15 dollars?
Answer:
Tom's weekly allowance is $16.
Step-by-step explanation:
With the information provided, first you have to subtract the amount he earned washing the family car from the total amount he had to determine the amount he had left from his allowance after going to the movies:
$15-$7=$8
Now, since the statement indicates that tom spent half of his allowance going to the movies, this means that the $8 represents the amount left after going to the movies and it is half of his allowance. So, you have to multiply this amount by 2 to find his weekly allowance:
$8*2=$16
According to this,the answer is that Tom's weekly allowance is $16.
what is the y intercept of the linear function graphed here
Answer:
0,-1
Step-by-step explanation:
Which distribution is symmetrical (bell shaped)?
A)
B)
L
1
o
D)
Answer:
D
Step-by-step explanation:
D starts low on both sides but is highest in the middle
A deck of 52 cards is spread out face down on a table. You randomly choose one card. What is the
likelihood you will choose the three of hearts?
Answer:
1/52 OR 0.01923076923 (unusual)
Step-by-step explanation:
So, since it is only asking for 1 card and there is 52 cards in a deck, you have a in 52 chance to pick that card.
Hope that helps!