Answers
Answer:
b = 6 mm
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
b² + 8² = 10²
b² + 64 = 100 ( subtract 64 from both sides )
b² = 36 ( take the square root of both sides )
b = [tex]\sqrt{36}[/tex] = 6
b = 6 mm
Step-by-step explanation:
To find the missing side of a right triangle, we can use the Pythagorean theorem. This is...
[tex]a^2+b^2=c^2[/tex]
It is important to know that c will always be the hypotenuse, or in this case 10. We can plug everything we know from the picture into the theorem.
[tex]8^2+b^2=10^2[/tex]
[tex]64+b^2=100[/tex]
Subtract 64 from both sides.
[tex]b^2=36[/tex]
A lot of people make the mistake of thinking the final answer is 36, but since b is squared we need to find the square root of 36.
[tex]\sqrt{36}=6[/tex]
b = 6
Related Questions
Which of these graphs represents a function
A.w
B.x
C.y
D.z
Answers
The correct option is D. The graph z is representing a quadratic function.
What is a quadratic function?In algebra, a polynomial function with one or more variables in which the highest-degree term is of the second degree is known as a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic.
The general form of the quadratic functions is represented as below:-
y = ax² + bx + c
Where a,b, and c are the constants x and y are variables.
The graph of the quadratic functions will be parabolic on the x-y plane.
Therefore, the correct option is D. The graph z is representing a quadratic function.
To know more about a quadratic function follow
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A 200-seat movie theater charges $3.00 for adults and $1.50 for children. If all seats were filled and total ticket income was $510.00, how many adults and children were in the audience? ( Use reduced row-echelon form). *
Answers
Answer:
ask your math teacher i rember learning this but froget ow
Step-by-step explanation:
Write equations with j own information:
Adult + child = 200
Adult = 200 - child
3.00 Adult + 1.50 child = 510
Combine equations:
3.00(200-child) + 1.50 child = 510
Simplify:
600 -3.00 child + 1.50 child = 510
600 - 1.50 child = 510
Subtract 600 from both sides:
-1.50 child = -90
Divide both sides by -1.50
Child = -90 / -1.50
Child = 60
There were 60 child seats sold and 140 adult seats sold.
The following octagon is formed by removing four congruent right triangles from a rectangle. What is the total area of
the octagon?
44 cm 2
52 cm 2
10 cm 2
58 cm 2
Answers
10cm^
To find the total area of the octagon, we need to find the area of the rectangle and subtract the areas of the four congruent right triangles that were removed.
Let's assume the length of the rectangle is L and the width is W.
The area of the rectangle is L * W.
The two smaller sides of the right triangle are congruent to the width of the rectangle, which is W. The hypotenuse of each right triangle is congruent to the length of the rectangle, which is L.
The area of a right triangle is (base * height) / 2. In this case, the base is W and the height is L.
So, the area of one right triangle is (W * L) / 2.
Since there are four congruent right triangles, the total area of the right triangles is 4 * (W * L) / 2 = 2 * (W * L).
Therefore, the total area of the octagon is (L * W) - 2 * (W * L).
The total area of the octagon = L * W - 2 * W * L.
We don't know the actual values of L and W, so we cannot calculate the exact area. However, we can simplify the expression.
The total area of the octagon = L * W - 2 * W * L = LW - 2WL = LW - 2WL = LW - 2WL = LW.
Therefore, the total area of the octagon is equal to the area of the rectangle.
Simplify, using the distributive property and then combining like terms. 5c+2(10−c)
Answers
Answer:
3c +20
Step-by-step explanation:
5c+2(10−c)
Distribute
5c+ 20 -2c
Combine like terms
3c +20
Answer:3c+20
Step-by-step explanation:
Distribute
5c+(2)(10)+(2)(-c)
5c+20+-2c
Combine Like Terms:
(5c+-2c)+(20)
3c+20
Hope I helped:)
Can someone help me? Thanks! :)
Answers
Answer:
75 is the length of the third side
Answer:
The unknown side to the triangle is 75 cm.
Step-by-step explanation
Let x be the length of the unknown side:
x^2 + 40^2 = 85^2
x^2 + 1600 = 7225
x^2 = 7225 - 1600
x^2 = 5625
x = 75
In the diagram below, triangle A’B‘C‘ is a transformation of triangle ABC, and Triangle A”B”C” is a transformation of Triangle A’B’C’. Which of the following transformation will lead triangle ABC to triangle A”B”C”?
a) reflection followed by a rotation
b) translation followed by a rotation
c) translation followed by a reflection
Answers
Answer:
B. i think?
Step-by-step explanation:
Please help will be greatly appreciated
Answers
Answer:
Step-by-step explanation:
Hands you please help
(1/3)^3 Evaluate the expression. This question is designed to test your intelligence.
Answers
Answer:
1/27
Step-by-step explanation:
That means
1/3 * 1/3 * 1/3
1/9 * 1/3
1/27
Answer:
1/27
Step-by-step explanation:
(1/3)^3
1/3*1/3*1/3
1/27
there are 12 inches in 1 foot
write an equation to find the number of inches in any number of feet
Answers
Answer:
divide the number of inches by 12
Step-by-step explanation:
Mick is planning a party. He wants to serve pizza, chips, and soda Mick discovers that he can purchase one pizza for $11.80, one
bag of chips for $1.59, and one bottle of soda for $1.74. If Mick needs 12 pizzas, 15 bags of chips, and 15 sodas, which is a reasonable amount that he will spend on food for the party?
A. $204.00
B. $84.00
C. $58.00
D. $246.00
Answers
Answer:
A. $204.00
Step-by-step explanation:
Pizzas: 11.80*12=141.6
Chips: 1.59*15=23.85
Sodas: 1.74*15=26.1
Equation: 141.6
23.85
26.1
_______+
191.55 closest to $204.00
HELP ASAP PLEASEEEE!
Answers
Answer:
it is c
Step-by-step explanation:
The diameter of a circle is 8 cm. Which equation can be used to find its circumference? WILL MARK BRAINLIEST
A. C =π×88
B. C=π × 4
C. C = 16×π
D. C=π × 8
Answers
Answer:
The equation is D. C= π × 8.
Step-by-step explanation:
1) write down a different ratio equivalent to 12 : 3
2) write down a different ratio equivalent to 30 : 24
Answers
2) 60:48
I just multiplied by 2
Answer: 1) 4:1 2) 60/48
Step-by-step explanation:
1. 12: 3 is the same as 12/3 so you can diving both side by 3.
12:3 ÷ 3/3=4/1
2. 30:24 is the same as 30/24 so you can divide both sides by 6 or multiply both sides by 2.
30/24 * 2/2= 60/48
ASAP PLS
How many cubic centimeters of water can this paper cone cup hold?
8 centimeters
192 cubic centimeters
1447 cubic centimeters
9 centimeters
216 cubic centimeters
487 cubic centimeters
Vcone =
Answers
Answer:
48π
Step-by-step explanation:
The radius is 4 and the height is 9
V=1/3*π 4^2*9
Simplify:
48π
Three listening stations located at (3300, 0), (3300, 4400), and (-3300, 0) monitor an explosion. The last two stations detect the explosion 4 seconds and 4 seconds after the first, respectively. Determine the coordinates of the explosion. (Assume that the coordinate system is measured in feet and that sound travels at 1100 feet per second.)
Answers
Answer:
hang gang ok
i10 Njan malayalam verupikkal is my job
Someone please help me!
Answers
Answer:
18.5
Step-by-step explanation:
You are given the opposite side, and need to find the hypotenuse, leading you to use sine.
Set it up, like so:
[tex]sin67=\frac{17}{x} \\[/tex]
Multiply everything by x, to remove it from the denominator:
[tex]x(sin67=\frac{17}{x} )\\xsin67 = 17[/tex]
Divide both sides by sin67:
[tex]x = \frac{17}{sin67} \\x = 18.46[/tex]
Round to nearest tenth:
x = 18.5
Which is the longest length?
a 1 yd. 20 in.
b 1yd. 1 ft.
С
40 in.
d 3 ft.
Answers
Answer:
a-1yd20in
Step-by-step explanation:
a-4ft 8in
b-4ft
c-3ft 4in
d-3ft
Answer:
it's A, one yard and 20 inches
Step-by-step explanation:
If you convert them all to inches, a yard and a 20 inches are equal to 56 inches, so you can rule out the 40 inches answer. a yard and a foot are equal to 48 inches, so we can rule out that also. 3 feet is equal to 36 inches, because we know that a foot is equal to 12 inches. so you are left with A. 1 yard and 20 inches.
find the area of the trapezoid could you go
Answers
Answer: 11.31372
Step-by-step explanation:
Find the height using pythagorean theorem1+b^2=9
you should get radical 8
2. Then plug your values into the formula and you get your answer
what is the greatest common factor of 33,15
Answers
Answer:
The answer is 3
Step-by-step explanation:
Shirley measures the thickness of the sides of a cardboard box using a ruler that has centimeter and inch marking
is most likely the value that Shirley measures?
A.
3.0 in
New
B.
3.0 mm
OC.
2.85 mm
OD
0.118 in
Answers
complete the square to form a perfect-square trinomial.
2. x^2 - 4x + ?
4. x^2 + 12x + ?
6. x^2 + 18x + ?
(just tell me what the number is for the ? on each problem.)
Answers
Look at the attached picture
Hope it will help you.
Good luck on your assignment
Answer the MATH question pleaaseee
Answers
Answer:
25 percent
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
Since there are 4 and only 1 is write that is a 1/4 change of guessing correct. 1/4=.25=25%.
Select all correct conversions.
53 km = 5,300 m
23 cm = 2.3 mm
15 m = 1,500 cm
79 m = 0.079 km
117 mm = 0.117 m
(Which ones are correct?)
Answers
The correct conversions are:
15m=1,500cm79m=0.079km117mm=0.117mWhat is unit conversion?It is a multi-step process that involves multiplication or division by numerical factor, selection of the correct numbers of significant digits, and rounding.
Equivalent Measurements:
[tex]1km=1000m\\1cm=10mm\\1m=100cm\\1m=1000mm[/tex]According to the given question:
53km=53×1000m=53000m (1km=1000m)23cm=23×10mm=230mm (1cm=10mm)15m=15×100cm=1500cm (1m=100cm)79m=[tex]\frac{79}{1000} km[/tex][tex]=0.079km[/tex] (1m=[tex]\frac{1}{1000}m[/tex])117mm=[tex]\frac{117}{1000}m[/tex][tex]=0.117m[/tex] (1mm=[tex]\frac{1}{100} m[/tex])Hence, the correct conversions are
15m=1,500cm79m=0.079km117mm=0.117mLearn more about the unit conversion here:
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Can someone help me find the solution or coordinates of these equations algebraically ?
y= -x^2 +4
y= 3x+4
Answers
Answer:
The solutions are (0, 4) and (-3, -5).
Step-by-step explanation:
Yes, first substitute y = 3x + 4 in the first equation:
3x + 4 = -x^2 + 4
x^2 + 3x = 0
x(x + 3) = 0
x = 0, -3
When x = 0 , y = -(0)^2 + 4 = 4 and
when x = -3 , y = -(-3)^2 + 4 = -9 + 4 = -5.
Given:
EM, EQ-secants
Prove: MP·EW=WQ·EP
Answers
Answer:
Step-by-step explanation:
A secant is a straight line from a point outside a given circle that passes through two points on its circumference.
From the given diagram, EM and EQ are secants.
Thus,
<PEW ≅ <WEP (common angles)
<EMP ≅ <EQW (secant-chord theorem)
<WMP ≅ <PQM (inscribed angles of arc WP)
Therefore,
[tex]\frac{EW}{WM}[/tex] = [tex]\frac{EP}{PQ}[/tex] (corresponding sides of a triangle)
This implies that,
EW*PQ = EP*WM
Therefore,
MP*EW = WQ*EP (properties of a similar triangle)
Dustin works in a department store. He earned $89.00 for working 10 hours last week. At this rate, how much would Dustin earn for working 38 hours?
Answers
Answer:
$338.20
Step-by-step explanation:
Find out how much Dustin gets for one hour of work, since you are given how much Dustin earns in 10 hours, you divide it by 10 (the number of hours) to find one hour,
89/10=8.9
$8.9 per hour
So 38 hours would be
8.9 x 38= $338.20
Answer:
$338.20
Step-by-step explanation:
please help me! thank you
Answers
Answer:
13 pounds happy to help mark me as brainliest pls!!!
Step-by-step explanation:
Reasoning in a laboratory, the probability a bacterial colony thrives is 70%. The numbers 0 to 6 represent the outcome that a colony thrives. The numbers 7 to 9 represent the outcomes that a colony does not thrive. The list of random numbers simulates the out comes of 4 colonies . Based On the simulation in 6 trails . what is the probability that exactly half of the colonies will thrive.
4285 6903 3829 7871 2868 5137
Answers
Answer:
The probability that exactly half of the colonies will thrive = (1/3) = 0.3333
Step-by-step explanation:
The list of random numbers simulates the out comes of 4 colonies.
Based On the simulation in 6 trails, what is the probability that exactly half of the colonies will thrive?
The probability of an event is given mathematically as the number of elements in the event divided the total number of elements in the sample space.
Noting that the numbers 0 to 6 indicate that a colony thrives and the number 7 to 9 represent that a colony doesn't thrive.
The 6 trials are given as
4285; 3 colonies thrive, 1 doesn't.
6903; 3 colonies thrive, 1 doesn't.
3829; 2 colonies thrive, 2 don't.
7871; 1 colony thrives, 3 don't.
2868; 2 colonies thrive, 2 don't.
5137; 3 colonies thrive, 1 doesn't.
The number of trials where exactly 2 colonies thrive = 2
The total number of trials = 6
The probability that exactly half of the colonies will thrive = (2/6) = (1/3) = 0.3333
Hope this Helps!!!
what are the dimensions of a square with a perimeter of 48 inches
Answers
Answer:
Each side is 12 inches long. The area is 144 square inches.
Answer:
12 by 12 inches
Step-by-step explanation:
12 times 4 (congruent) sides =48
In quadrilateral PQRS, PQ = QR = RS = SP, PR = 14, and QS = 48. Find the perimeter of PQRS.
Answers
Answer:
100 units
Step-by-step explanation:
Lengths of diagonals:
PR = 14
QS = 48
Since all 4 sides are equal in length, it's a rhombus
Length of each side:
sqrt[(14/2)² + (48/2)²]
sqrt(625)
25
Perimeter = 4 × 25
= 100
The side length of the rhombus is 25 units. Then the perimeter of the rhombus PQRS will be 100 units.
What is the perimeter of the shape?The complete stretch of a shape's border is referred to as the perimeter in geometry. A shape's periphery is calculated by summing the lengths of all of its sides and borders. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.
In quadrilateral PQRS, PQ = QR = RS = SP, PR = 14, and QS = 48. The diagonal of the rhombus intersect at a right angle. Then the side length of the rhombus is given as,
a² = (14 / 2)² + (48 / 2)²
a² = 49 + 576
a² = 625
a = 25
Then the perimeter of PQRS will be given as,
P = 4a
P = 4 x 25
P = 100 units
The side length of the rhombus is 25 units. Then the perimeter of the rhombus PQRS will be 100 units.
More about the perimeter of the shape link is given below.
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