Misty needs 216 square inches of metal
to make a yield sign.
If the height of the sign is 18 inches,
how long is the top edge of the sign?
24 inches
12 inches
198 inches
22 inches
Answer:
24
Step-by-step explanation:
Area = 216
The area of triangle = 1/2 b * h
Since height = 18 --> 1/2 b * 18
so,
216 = 1/2 b * 18
Divide both sides by 18
12 = 1/2 b
Divide both sides by 1/2, (which is the same as multiplying both sides by 2)
24 = b
Answer:
24 inches
Step-by-step explanation:
Given:
[tex]\bullet \ \ \text{Height of sign: 18 inches} \\ \bullet \ \text{Area of Yield sign: 216 inches}^{2}[/tex]
The yield sign shown here is a triangle. Therefore, the question is asking to find the base of the triangle. Keep in mind that the area of a circle is 1/2 multiplied by the base multiplied by the height.
[tex]\implies \text{Area of yield sign} = \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]
Substitute the height and the area in the equation and simplify.
[tex]\implies \text{216 inches}^{2} = \dfrac{1}{2} \times \text{Base} \times 18[/tex]
[tex]\implies \text{216 inches}^{2} =\text{Base} \times 9[/tex]
Divide both sides by 9.
[tex]\implies \dfrac{\text{216}}{9} =\dfrac{\text{Base} \times 9}{9}[/tex]
[tex]\implies24 \ \text{inches} =\text{Base}[/tex]
What is the slope of the line that contains the points (-1, 2) and (3, 3)?
Answer:
[tex]\text Slope = \frac{1}{4}[/tex]
Step-by-step explanation:
the slope of the line that passes through the points
[tex]\large A\left( x_{1},y_{1}\right) \text{and} \ B\left( x_{2},y_{2}\right)[/tex]
[tex]\large \text{slope} =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
the slope of the line that contains the points (-1, 2) and (3, 3) is :
[tex]\Longrightarrow \text{slope} =\frac{3-2}{3-\left( -1\right) }= \frac{1}{4}[/tex]
L=9m + 2n. Work out the value of L when m = 3 and n = -6
Answer:
L= 15
Step-by-step explanation:
L= 9m + 2n Given Equation
L = 9 (3) + 2 (-6) Substitute values for their variables
L= 27 + 2 (-6) Simplify multiplication
L= 27 -12 Simplify multiplication (remember a positive times a
negative is a negative)
L= 15 (Simplify)
Simplify the given polynomial expressions as much as possible
(12a2 + 6a - 8) + (-22a2 + 12 - 15a)
Answer:
- 10a² + a + 4
Step-by-step explanation:
( 12a² + 6a - 8 ) + ( - 22a² + 12 - 5a )
= 12a² + 6a - 8 - 22a² + 12 - 5a
= 12a² - 22a² + 6a - 5a + 12 - 8
= - 10a² + a + 4
Answer:
Step-by-step explanation:
Remark
There is an isolated plus sign in the middle so removing the brackets is going to allow you to collect like terms quickly and immediately.
Solution
12a^2 + 6a - 8 - 22a^2+ 12 - 15a Group like terms together in pairs.
12a^2- 22a^2 + 6a - 15a - 8 + 12 Combine like terms.
Answer
-10a^2 - 9a + 4
33 pounds of dog food for $45 how much is it per pound
Answer:
1 pound = .73 dollars rounded.
Step-by-step explanation:
This is like a rate question. Speed is in miles / hour only the units for this question is pound / dollar.
pounds = 33
dollars = 45
1 pound is 33/45
1 pound = 0.73
12 = x - 24
I think know the answer but I’m unsure of how to do it
Answer:
36
Step-by-step explanation:
you have to isolate your variable. To do this, you add 24 to each side. On the left side its 12+24 and on the right, its 24+(-24) which then equals zero. In simple terms, x=12+24
Answer:
x = 36
Step-by-step explanation:
Add 24 to 12 because 24 is minus, so when it is moved to the other side of the equation it is plus.
Isaac bought snacks for his team's practice. He bought a bag of chips for $2.94 and a 8-pack of juice bottles. The total cost before tax was $16.62. How much was each bottle of juice?
Answer:
$1.71
Step-by-step explanation:
Just took the test.
The cost of each juice bottle is $1.71.
Let, the cost of each juice bottle as "x".
Given:
Cost of chips = $2.94
Total cost before tax = $16.62
Isaac bought an 8-pack of juice bottles, so the total cost of the juice bottles is 8x.
The total cost of chips and juice bottles should be equal to the total cost before tax:
Cost of chips + Cost of juice bottles = Total cost before tax
$2.94 + 8x = $16.62
Now, solve for "x" the equation:
8x = $16.62 - $2.94
8x = $13.68
Divide both sides by 8:
x = $13.68 / 8
x = $1.71.
So, the cost of each juice bottle is $1.71.
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What is the solution of startroot x 12 endroot = x? x = –3 x = 4 x = –3 or x = 4 no solution
An equation is formed of two equal expressions. The solution of the equation √(x+12)=x is x=4.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution of the equation √(x+12)=x can be done as,
[tex]\sqrt{x+12} = x\\\\\text{Square both the sides of the equation}\\\\x+12=x^2\\\\x^2-x-12=0\\\\x^2-4x+3x-12=0\\\\x(x-4)+3(x-4)=0\\\\(x-4)(x+3)=0[/tex]
Equate each of the factors with 0,
[tex](x-4)=0\\x=4\\\\(x+3)=0\\x=-3[/tex]
Now, if we substitute the value of x in the equation given, only the value of x as 4 will satisfy the equation.
Thus, the solution of the equation √(x+12)=x is x=4.
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Find the area of the shaded region. (Blue is the shaded region)
Answer:
135ft^2
Step-by-step explanation:
area of trapzoid= (a+b)/(2)×h
area of traingle= 1/2(b)(h)
area of the shaded region equals (a+b)/(2)×h-1/2(b)(h)
so
(8+18)/(2)×15-(1/2)(8)(15)
=135ft^2
Sonia will go on a 9-day vacation with his grandparents. He will take $57 of his
own money. His grandparents will give him another $78. Sonia will spend all
of the money and he will spend the same amount each day. How many dollars
will Sonia spend each day of the vacation?
Answer:
$15
Step-by-step explanation:
Sonia will take $57, and his grandparents will give another $78. 57 + 78 = 135. Sonia will have 135 dollars, but it is a 9 day vacation, so 135/9 = 15
Sonia will spend 15 dollars a day.
The record low temperature in Fargo, ND is -37°F. The record high is 109°F. What is the difference in the record high and the record low temperatures?
Answer:
109 - -37 = 146
Step-by-step explanation:
Answer:
146
Step-by-step explanation:
Rasheed has tan pants, black pants, gray pants, and blue pants. He has a brown sweater and a white sweater. How many different ways can he wear a sweater and pants together
Answer:
Step-by-step explanation:
There are 4 different colors of pants.
There are 2 sweaters.
The total number of ways of making a particular pair of pants and a sweater = 4 * 2 = 8
Answer: there are 8 combinations of clothing
If f(x) = mx² - 6x - 3 and f'(1) = 12. find the value of constant in (a) 9 (b) 3 (c)-3 (d) -4
Answer:
a) 186
b) 6
c) 42
Step-by-step explanation:
[tex]f(x) = m {x}^{2} - 6x - 3[/tex]
f'(1) = 12
f'(x) = 2mx - 6
12 = 2(1)m - 6
12 - 6 = 2m
[tex] \frac{2m}{2} = \frac{6}{2} [/tex]
[tex]m = 3[/tex]
[tex]f(x) = 2 {x}^{2} - 6x - 3[/tex]
a)
f(9) = 3( 9)^2 - 6(9) - 3
f(9) = 186
b)
f( 3) = 3( 3)^2 - 6( 3) - 3
f(3) = 6
c)
f( - 3) = 3( - 3)^2 - 6( - 3) - 3
f(-3) = 42
In the standard (x,y) coordinate plane, a line intersects
the y-axis at (0,2) and contains the point (8,3). What is
the slope of the line?
Answer:
[tex]\sf Slope =\dfrac{1}{8}[/tex]
Step-by-step explanation:
(0,2) ; (8 ,3)
Slope:
[tex]\sf \boxed{Slope = \dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\sf = \dfrac{3-2}{8-0}\\\\=\dfrac{1}{8}[/tex]
The sum of 9 times a number and 8 is 2
Answer:
where is the question?
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST
Answer: Definition of midpoint
Step-by-step explanation:
Answer:
defintion of midpoint
Step-by-step explanation:
that is the proof
What is the percent of decrease from 2.2 to 2.2?
Answer:
0
Step-by-step explanation:
(2.2-2.2):2.2*100 =
(2.2:2.2-1)*100 =
100-100 = 0
find six rational number between –1 and 0
Answer:
Answer. so -7/8, -6/8, -5/8, -4/8, -3/8, -2/8 are the six no.
Step-by-step explanation:
Please help me!! I don't understand how to do this
Answer:
76 feet^3
Step-by-step explanation:
Well, since s is showed three times on the large box, we can say they are all the same lengths. So, if one side is 4 feet long, then all side length, are 4. So, 4*4*4. This gets us 64.
So the large box's volume is 64, and the small one, is 12. The total volume is them added. 64+12. This gets us 76.
The answer is 76 feet^3
What is the length of AD (square)
Answer:
5
ALL SIDES MUST BE THE SAME
Answer:
5 cm
Step-by-step explanation:
The equation cosx = square root 3/2 is an identity.
A. True
B. False
Answer:
false, because cos(x) has no definite answer, and equations aren't identities
Step-by-step explanation:
please huryyyyyyyyyyy!!!!!!!!!!!!!
Answer:
do you hvae more imformation
Step-by-step explanation:
due today need help pls
Answer:
I beleive that the systems of transformation are that
Figure JKLM to Figure J' K' L' M' is a Rotation
Figure J' K' L' M' to Figure J" K" L" M" is a Dilation
Step-by-step explanation:
Pls help NEED BY 9:07
30 POINTS
Pls answer and show me how u got answer
Answer:
B which is 2/4.
Step-by-step explanation:
Elin: worked for 2/4 + 1/4 = 3/4 of an hour on an assignment
Jocyln worked for 5/4 of an hour the same assignment
The difference in time is 5/4 - 3/4 = 2/4 or 1/2 hour.
Note: when you subtract fractions, the denominators must be the same. What you subtract is the numerators (top part of the fraction).
Kenny and Dee Dee purchased 400 shares of Fly-By-Night stock 3 years ago. They initially paid $6,846
for the stock. Last week they sold the stock at $40. 25 per share. The brokers sales commission was
3. 2%
Answer: Im not sure
Step-by-step explanation:
don’t even pay attention to this
Multiply (-x^2 + 2x + 4) (x-3)
Answer:
−x^3+5x^2-2x−12
Step-by-step explanation:
Find f(–2) for the function f(x) = 3x2 – 2x 7. −13 −1 1 23
Answer:
16
Step-by-step explanation:
f ( x ) = 3x² - 2x
To find : f ( - 2 )
f ( - 2 ) = f ( x )
Here,
x = - 2
f ( - 2 ) = 3 ( - 2 )² - 2 ( - 2 )
= 3 ( 4 ) - 2*( - 2 )
= 3*4 + 4
= 12 + 4
f ( - 2 ) = 16
One angle of a triangle measures 20°the other two angles are in a ratio of 3:5. What are the measures of those two angles?
Answer:
180-20 = 160 = sum of the other two angles
3/(3+5) = 3/8 x 160 = 60 degrees
5/(3+5) = 5/8 x 160 = 100 degrees
or in radians the other two angles are pi/3 and 5pi/9
Step-by-step explanation:
THIS ANSWER IS CORRECT
BRAIN LESS ANSWER
Function 1 is defined by the following table
x. Y
0. 8
3. 12. 5
4. 14
6. 17
Function 2 is defined by line H
Answer:Function 2
Step-by-step explanation: