A trapezoid has a base of 4.5 inches, a height of 6 inches, and an area of 21 square inches. The equation below can be used to determine b2, the length in inches of the second base of the trapezoid.
12(4.5+b2)(6)=21
Answer:
2.5in
Step-by-step explanation:
Given parameters;
Base = 4.5inches
Height = 6inches
Area = 21in²
Unknown:
b₂ = ?
Solution:
Formula for finding the area of a trapezium;
A = [tex]\frac{1}{2}[/tex][tex](b_{1} + b_{2} )[/tex] x h
Input the parameters and solve for b₂;
21 = [tex]\frac{1}{2}[/tex][tex](4.5+ b_{2} )[/tex] x 6
21 = 3(4.5 + b₂)
21 = 13.5 + 3b₂
21 - 13.5 = 3b₂
b₂ = 2.5in
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A submarine is 150 feet below sea level and then descends 850 feet before rising 35 feet and leveling out. At what depth is the submarine when it levels out?
Directions: Solve the problem Label your final answers. Show all work.
Tickets to the Haunted House are $6.50 for adults and $4.30 for children.
How much would it cost for two adults and four children?
How much change would you get if you pay for the tickets with a $50 bill?
Answer:
The total cost for two adults and four children is $30.2
The change that you would get if you pay for the tickets with a $50 bill is $19.2
Step-by-step explanation:
$6.5 * 2 adults = $13
$4.3 * 4 children = $17.2
$13 + $17.2 = $30.2
$50 - $30.2 = $19.8
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Solve the equation.
8 - 2x = -8x + 14
O x= -1
O x=
5
3
O x
O x= 1
Answer:
x = 1
Step-by-step explanation:
8 - 2x = -8x + 14
-2x + 8x = 14 - 8
6x = 6
x = 1
x=1 is the solution of the equation 8 - 2x = -8x + 14
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 8 - 2x = -8x + 14
x is the variable in the equation
Plus and minus are the operators
We have to solve for x
Take the variable terms one side and constants on other side
8x-2x=14-8
6x=6
Divide both sides by 6
x=1
Hence, x=1 is the solution of the equation 8 - 2x = -8x + 14
To learn more on Equation:
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Which angle is complementary to <3? help asap
Answer:
In a right angled triangle
Step-by-step explanation:
The two non-right angles are complementary, because in a triangle the three angles add to 180°, and 90° has already been taken by the right angle. When two angles add to 90°, we say they "Complement" each other. because the right angle is thought of as being a complete angle.
Sorry if this is wrong this is all I could do
20 POINTS! HELP ME PLZZ I NEED HELP WITH THIS! IS THIS RIGHT!
Answer:
A
Step-by-step explanation:
what dose a and x equal
2³x 5- (√-1) a+ 5a - 3÷ x³
The terms in which value of x when substituted leaves final value of p(x) = "0".
Here, x - 2 is factor. So value of x is 2.
Substituting value of x we get,
p(x) = x3 - 3x + 5a
p(2) = 2*3 - 3(2) + 5a
0+ 8-6 + 5a
-2 = 5a
a= -0.4
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Please help! Geometry.
Open-Ended Which of these situations can be represented by the opposite of 53? Use pencil and
paper. Describe two more situations that can be represented by the opposite of 53.
A book was 53 pages shorter than you expected.
Andrew spent $53.
The temperature was 53°F.
Jennifer sold 53 apples.
Select each situation that can be represented by the opposite of 53.
O A. Andrew spent $53.
OB. Jennifer sold 53 apples.
OC. A book was 53 pages shorter than you expected.
D. The temperature was 53°F.
Answer:
A book was 53 pages shorter than you expected
Jennifer sold 53 apples.
Andrew spent $53.
Step-by-step explanation:
The question proposed that we should determine which situation can be said to be the opposite of 53. From the listed option, we will realize that the following:
A book was 53 pages shorter than you expected
Jennifer sold 53 apples.
Andrew spent $53.
The above options are the opposite of 53. This is because a book that was shorter than expected will need to be refilled.
Suppose Jennifer has x apples, and She sold 53 apples out of it. It means x = -53, which is the opposite of 53.
Andrew spent $53; let say Andrew had y+$53. After spending $53, he has y = - $53, which is the opposite of 53.
But the temperature, which was 53°F, will still be at that position on the thermometer provided it is not being affected by external conditions.
In the image above, what do the red arrows on lines mean?
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50) State the equation of a line that is perpendicular to 4x – 2y = 12 and passes through the point (-4,-3).
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Answer:
x+2y=-8
Step-by-step explanation:
Slope of given line = 2
Slope of the perpendicular line = -1/2
Equation of perpendicular line is (y-y1)=m(x-x1)
y-(-3)=-1/2(x-(-4))
y+3=-1/2(x+4)
2y+6=-x-2
x+2y=-8
Solve for x and y, please help!
Answer:
x = 37, y = 9
Step-by-step explanation:
3x + 11 and x + 21 are same- side interior angles and are supplementary, thus
3x + 11 + x + 21 = 189 , that is
4x + 32 = 180 ( subtract 32 from both sides )
4x = 148 ( divide both sides by 4 )
x = 37
--------------------------------
3x + 11 = 3(37) + 11 = 111 + 11 = 122
14y - 4 and 3x + 11 are vertical angles and congruent, thus
14y - 4 = 122 ( add 4 to both sides )
14y = 126 ( divide both sides by 14 )
y = 9
HELP!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1. 30
2. 0.83333333
3. 1.2
4. 30
Step-by-step explanation:
H is the only reasinable decimal
Evaluate 3{5 + 3[10 + 4.8]}
Answer:
393
Step-by-step explanation:
A speedboat, at full throttle, can go 65.0 miles in 1.5 hours. What is the average speed of the boat?
0.05 is 1/10 value of what number
Answer:
1/2=x
0.5
Step-by-step explanation:
x will be the number
5/100=(1/10)x
5/10=x
1/2=x
1/2=0.5
The U.S. Capital building includes a statue on top representing freedom. If a person stood outside the building with a direct line-of-sight of 983 feet to the top of that statue and an angle of elevation of 17o , what would be the distance from the ground below the statue to the top of the statue?
Answer:
ok u need to list the numbers in the journal
Step-by-step explanation:
True or False: Every number has a limited amount of factors, but an unlimited amount of multiples.
Answer:
False
Step-by-step explanation:
0 has unlimited numbers of factors because 0 times everything equals 0. If 0 is not included then the statement is true.
Tony drove 792 miles in 11 hours at the same rate how many miles would he drive in 13 hours
Answer:
936 miles in 13 hours.
Step-by-step explanation:
if you divide 792 by 11 you get 72, which is the unit rate. You multiply that by thirteen and it is the answer 936.
Answer:
936 miles
Step-by-step explanation:
Donte simplified the expression below. 4 (1 + 3 i) minus (8 minus 5 i). 4 + 3 i minus 8 + 5 i. Negative 4 + 8 i. What mistake did Donte make?
Answer:
He didn't expand properly.
This part: 4(1 + 3i)
Step-by-step explanation:
4(1 + 3i) - (8 - 5i)
Expand:
4 + 12i - 8 + 5i
-4 + 17i
Answer:
A on edge2020
Step-by-step explanation:
did the test
Solve proportion 2/4.5=t/0.5
0.2 or 2/9 in fraction form I believe.
1. You decide to buy some new clothes. The subtotal comes to $123.79, but
you have a 15% off coupon. What is the total you will spend? *
Answer:
$105.22
Step-by-step explanation:
-4( -3 )+ (6-2)/64 = ?
Answer:
12.0625
Step-by-step explanation:
Im not sure but im pretty sure it's correct
12.06 or 193/16 in fraction form I believe. Sorry if it’s wrong.
Write an equation in slope-intercept form with the given slope and y-intercept. m = 1 , b = -1
Answer:
y = 1x -1
Step-by-step explanation:
m is your slope which is 1 and -1 is you y intercept
the slope intercept form is y = mx + b
which means the equation will be y = 1x -1
what's 4 divided by 5 as a fraction
Answer:
four fifths because if you divided 4 by 5 is 0.8 and that equals four fifths
expand (2a +36) (2a-3b
Solve: 4 − 2(2x − 7) = −6.
A) −6
B) −5
C) −3
D) 6
Answer:
x = 6
Step-by-step explanation:
4 − 2(2x − 7) = −6.
Distribute
4 -4x +14 = -6
Combine like terms
18-4x = -6
Subtract 18 from each side
18 -4x-18 = -6-18
-4x = -24
Divide each side by -4
-4x/-4 = -24/-4
x = 6
that doesn't give the answer
Answer:
what doesnt give the answer??
Step-by-step explanation:
Determine if the function shows a linear relationship or an absolute value relationship. Then evaluate the
function for the indicated value of x.
A. f(x) = |x-31-2; x = -5
B. g(x) = 1.5x; x = 0.2
C. p(x) = 17 - 2x]; x = -3