Answers
Answer:
10.97 mm
Step-by-step explanation:
Hello!
First, let's construct an altitude, as shown in the picture below. An altitude is a height from one point to another side, forming a 90° angle at that intersection.
The length of the altitude is the same as the missing length, they are both parallel.
The length from the altitude to the slant line would be 6, as found by subtracting 8 from 14.
If you look closely, we can see a right triangle, and 12.5 mm is the hypotenuse. We know the measure for another side, and we can solve for the altitude using the Pythagorean Theorem: [tex]a^2 + b^2 = c^2[/tex], a and b are legs, and c is the hypotenuse.
In this case, 6 and the altitude are legs.
Solve for the Altitude[tex]a^2 + b^2 = c^2[/tex][tex]A^2 + 6^2 = 12.5^2[/tex][tex]A^2 + 36 = 156.25[/tex][tex]A^2 = 120.25[/tex][tex]A = \sqrt{120.25}[/tex][tex]A \approx 10.97[/tex]The altitude is around 10.97, so the missing length will also be 10.97 mm.
Related Questions
Two tankers contain 850 litres and 680 litres of kerosene oil respectively. find the maximum capacity of a container which can measure the kerosene oil of both the tankers when used an exact number of times
Answers
The maximum capacity of a container which can measure the kerosene oil of both the tankers when used an exact number of times is 170 Litres.
Amount of kerosene in first tanker = 850 litres
Amount of kerosene in Second tanker = 680 litres
The maximum capacity of a container which can measure the kerosene oil of both the tankers when used an exact number of times will be the HCF of amount of kerosene in first tanker and amount of kerosene in second tanker i.e., HCF of 850 litres and 680 litres.
To calculate HCF of 850 and 680 , we can write
850 = 2 × 5 × 5 × 17
680 = 2 × 2 × 2 × 5 × 17
HCF of 850 and 680 = 2 × 5 × 17 = 170
The maximum capacity of a container which can measure the kerosene oil of both the tankers when used an exact number of times is 170 Litres.
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N is an even number
(B) what type of number is n+ 1?
Answers
Answer:
Odd
Step-by-step explanation:
If n is even, we can assign it any even number, like 2. after every even comes an odd, so 2+1=3. Just like 4+1=5, the next number after any even is odd.
Mr. Rell runs 14 miles every 2 hours. How far
can he run in 7 hours?
Answers
Answer:
28
Step-by-step explanation:
you have to multiply 14 ×2 =28
Answer =49miles
HII HELP PLEASE! I DONT UNDERSTAND
Answers
Answer:
C
Step-by-step explanation:
3x^2-30x=72
3(x^2-10x)=72
x^2-10x=24
Then do the subtitules
Answer:C
Give me brainlliest
Answer: C x = -2
Step-by-step explanation:
[tex]3x^{2} - 30x - 72 = 0[/tex]
[Add 72 on both sides]
[tex]3x^{2} - 30x = 72[/tex]
[Factorise Left Hand Side of equation to get 3 on one side of a bracket]
[tex]3(x^{2} -10x) = 72[/tex]
[Divide each side by 3 to just get the brackets and the x's on one side]
[tex]x^{2} -10x = 24[/tex]
[Minus 24 on both side as the equation must = 0]
[tex]x^{2} -10x-24=0[/tex]
[Solve the square on the left hand side]
[tex](x-12)(x+2)=0[/tex]
[Solve for x on left hand side - two possible answers]
[tex]x-12=0 \\ x=12[/tex]
[tex]x+2=0\\x=-2[/tex]
[The answer '12' is not in the option for the question so '-2' is the answer]
Find the measures of the angles of following triangle. The ratio of the measures of the three angles is 5: 4: 7 .
Answers
Answer:
56.25º, 45º and 78.75º respectively
Step-by-step explanation:
write 101 in binary form
Answers
Answer:
1100101
Step-by-step explanation:
9. The volume of a box in cubic feet can be expressed as V(x) = x³ - 3x² - 10x or as the product of three linear factors with integer coefficients. The width of the box is 5-x. What is the length, width, and height of the box in factored form? A. -x(5-x)(x+2) B. X(5-x)(x+2) C. X(5-x)(x-2) D. -x(5-x)(x-2)
Answers
The length, width, and height of the box in factored form is -x (x-5)(x +2) which is option A
The box is in the shape of a cuboid
The volume of a cuboid = l b h, where l is the length, b is the breath or width and h is the height
Putting the values of width and volume in the formula
x³ - 3x²-10x = l ×(5-x) × h
This becomes a cubic equation
l × h = (x³-3x²-10x)/ 5-x
l × h = -x²-2x
l × h = -x(x+2)
Now, putting the value of l × h in the equation we get
v= -x ( x+ 2) (5-x)
v = -x (x-5)(x +2)
Hence, the length, width, and height of the box in factored form is -x (x-5)(x +2) which is option A
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what would the sum of x and 16 is less than 32 look like in a problem?
Answers
x+16 < 32
I WILL GIVE BRAINLIEST
An NFL playing field is a rectangle. The length of the field (excluding end zones) is 40 yards more than twice the width. The perimeter of there playing field is 260 yards. What are the dimensions of the field in yards?
Answers
The length of the NFL playing field is 100 yards and the width is 30 yards.
What is perimeter?
The perimeter of an object is the distance round the shape or object.
The perimeter of a shape is obtained by summing length and width of the shape in two places.
P = 2(L + W)
where;
L is the length of the shapeW is the width of the shapeFrom the given question,
L = 2W + 40
260 = 2(L + W)
260 = 2(2W + 40 + W)
260 = 2(3W + 40)
260 = 6W + 80
260 -80 = 6W
180 = 6W
180/6 = W
30 = W
L = 2W + 40
L = 2(30) + 40
L = 100 yards
Thus, the length of the NFL playing field is 100 yards and the width is 30 yards.
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Suppose M is the midpoint of FG. Find the missing measure FM = 3x - 4, MG = 5x - 26
Answers
Answer:
FG=58 X=11
Step-by-step explanation:
I'm assuming your looking for the whole segment. What I did was 3x-4=5x-26. We first have to find X. So just use the equation to find X. You should get X=11 if you did it the way I set it up. Then you plug it in with the measures you got. So FM = 3(11)-4 and 5(11)-26. You should get 29 for both. If your looking for FG, you would add those two together. So 29+29= 58. FG=58. there you go.
The points (–5, 4) and (9, –2) are on a line. Find the intercepts to the nearest tenth.
Answers
Answer:
The y-intercept = (0, 13/7).
The x-intercept = (13/3, 0).
To the nearest tenth they are
y-intercept (0, 1.9)
x-intercept (4.3, 0)
Step-by-step explanation:
First find the equation oif the line joining these points:
Slope of line = (4 - (-2)) / (-5-9))
= 6/-14
= -3/7
y - y1 = m(x - x1)
Using m = -3.7 and (x1, y1) = (-5, 4)
y - 4 = -3/7(x - (-5)
y = -3/7x -15/7 + 4
y = -3/7x + 13/7 is the equation of the line.
The y-intercept (when x = 0)
= 0 + 13/7
= (0, 13/7)
The x-intercept:
0 = -3/7x + 13/7
x = -13/7 / -3/7
= 13/3.
x intercept is (13/3, 0)
PLS HELP!!!
John simplified the expression
-3 X (3 + 12 ÷ 3) - 4.
Word Pro
For his first step, he added 3 + 12 to get 15. What
was John's error? Find the correct answer.
Answers
Answer:
Correct answer : -21x - 4
John's error : He added the number inside the parenthesis, instead he should've divided first then added the number.
I hope you get it
Really lost on this one :(
Answers
Applying the definition of supplementary angles, x = 18; m<PNO = 70°.
What are Supplementary Angles?If two angles lie on a straight line adjacent to each other, both angles are supplementary, thus, their sum is equal to 180 degrees.
Angle MNO and angle PNO are supplementary angles, therefore:
m<MNO + m<PNO = 180 degrees.
m<MNO = 110°
m<PNO = (3x + 16)°
Substitute
110 + 3x + 16 = 180
126 + 3x = 180
126 + 3x - 126 = 180 - 126
3x = 54
x = 18
m<PNO = 3x + 16 = 3(18) + 16
m<PNO = 70°
Therefore, applying the definition of supplementary angles, x = 18; m<PNO = 70°.
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simplify: 3/x+1 - 1/x-1 - 2x/x^2+1
Answers
The simplified expression of 3/x+1 - 1/x-1 - 2x/x^2+1 is [-2x^3 - 4x^2 + 2x - 2]/[x^4 - 1]
How to simplify the expression?The expression is given as
3/x+1 - 1/x-1 - 2x/x^2+1
Take the LCM of the first two terms
So, we have
(3x - 3 - x - 1)/(x^2 - 1) - 2x/x^2+1
This gives
2x - 4/(x^2 - 1) - 2x/x^2+1
Take the LCM
[(2x - 4)(x^2 + 1) -2x(2x^2 - 1)]/(x^4 - 1)
Expand
[2x^3 - 4x^2 + 2x - 4 - 4x^3 + 2]/[x^4 - 1]
Evaluate the like terms
[-2x^3 - 4x^2 + 2x - 2]/[x^4 - 1]
Hence, the simplified expression of 3/x+1 - 1/x-1 - 2x/x^2+1 is [-2x^3 - 4x^2 + 2x - 2]/[x^4 - 1]
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Which of the following statements are true about a reflection? Select all that apply. © An image created by a reflection will always be congruent to its pre-image. • Corresponding angles and segments are always congruent in a reflection of a figure. • Reflections can only be constructed across horizontal or vertical lines. D Reflections may change the size of a pre-image. • An image and its pre-image are always the same distance from the line of reflection.
Answers
True statements about reflection are:
(A) A reflection's image will always be congruent to its pre-image.(B) In a figure reflection, corresponding angles and segments are always congruent.(E) The distance between an image and its pre-image from the line of reflection is constant.What do we mean by reflection?The change in direction of a wavefront at an interface between two different media that causes the wavefront to return to the medium from which it originated is referred to as reflection. Light, sound, and water wave reflections are common examples. A reflection's image will always be congruent to its pre-image.In a figure reflection, corresponding angles and segments are always congruent.The distance between an image and its pre-image from the line of reflection is constant.The description of reflection is similar to three options given in the question which are option (A), (B) and (E).
Therefore, true statements about reflection are:
(A) A reflection's image will always be congruent to its pre-image.(B) In a figure reflection, corresponding angles and segments are always congruent.(E) The distance between an image and its pre-image from the line of reflection is constant.Know more about reflections here:
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The correct question is given below:
Which of the following statements are true about a reflection?
Select all that apply.
A. An image created by a reflection will always be congruent to its pre-image.B. Corresponding angles and segments are always congruent in a reflection of a figure.C. Reflections can only be constructed across horizontal or vertical lines.D. Reflections may change the size of a pre-image.E. An image and its pre-image are always the same distance from the line of reflection.Answer:
A. An image created by a reflection will always be congruent to its pre-image.
B. Corresponding angles and segments are always congruent in a reflection of a figure.
E. An image and its pre-image are always the same distance from the line of reflection.
Are correct !!
please tell me the additive invers of -25, 18, and -4.5!! Thanks!
Answers
Answer:
-1/25, 1/18, -2/9
Step-by-step explanation:
The additive inverse of a number is also called the reciprocal. The reciprocal is the number that is multiplied to get 1.
5w + 10x . quick answer!
Answers
Answer:
you can not do that. They are not like terms. Even though they are raised to the same power, they don't have the same variable
Step-by-step explanation:
solve the following absolute equation 2|3x-4|+8=6
Answers
Answer:
"No solution" is the answer
Step-by-step explanation:
PLEASE HELP!! i’ll give brainliest
AE = EB and CF = FB
ca = 18
de = 7
cb = 14
fe = [?]
Answers
Answer:
by comparing the two triangles,
we take the ratio of each side to be equal
Step-by-step explanation:
By comparing the sides of the triangles,
we take the ratio of each sides to each other
de/cb = fe/ca
de.ca = fe.cb
fe = (de.ca)/cb
fe = (7* 18)/14
fe = 9
The measure of side FE of triangle DEF is FE = 9
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be represented as ABC
Now , let the second triangle be DEF
And triangle ABC and DEF are similar triangles
So , corresponding sides of similar triangles are in the same ratio
And , AE = EB and CF = FB
From the similar triangle theorem ,
EF / AC = DE / CB
Substituting the values in the equation , we get
EF / 18 = 7 / 14
Multiplying by 18 on both sides of the equation , we get
EF = ( 7 x 18 ) / 14
EF = 18/2
EF = 9
Therefore , the value of EF is 9
Hence , the measure of side EF is 9
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Diane cycled a total distance of 71,808 feet on a bicycle path surrounding a lake she cycled eight laps where each lap was the same length what was the length of each lap around the lake
Answers
The length of each lap around the lake is 8976 feet.
We are informed that Diane cycled 8 laps around the lake. Also, Diane covered total distance of 71,808 feet. So, length of 8 laps = total distance covered by Diane. Hence, the length of each lap will be calculated by performing division.
Length of 1 lap = total distance covered by Diane ÷ length of 8 laps
Keep the values in formula to find the length of each lap.
Length of each lap = 71,808 ÷ 8
Performing division to find the length of each lap
Length of each lap = 8976 feet
Thus, the length of each lap around the lake is 8976 feet.
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Simplify the following equation shown in the picture below :
Answers
Answer:
D
Step-by-step explanation:
2x - 14x = 12x
3x²
6y + 7y = 13y
3²-12x-13y
Members of a baseball team raised $1128.75 to go to a tournament. They rented a bus
for $856.50 and budgeted $24.75 per player for meals. Write and solve an equation
which can be used to determine x, the number of players the team can bring to the
tournament.
Answers
Rosemary cut 3 wooden sticks to use as the sides of a triangle. Which list below could be the lengths, in inches, of the sticks Rosemary cut?
Answers
The length in inches of the triangle will be (A) 6, 8, 10.
What exactly is Pythagorean Theorem?According to the Pythagorean Theorem, the length of the legs and of a right triangle is related to the length of the hypotenuse h by the following equation:[tex]h^2=l_1^2+l_2^2[/tex]As a result, in item a:
h² = 6² + 8²h² = 100h = 10As a result, it is a right triangle.
Item b:
h² = 2² + 5²h² = 29h = √29 ≠ 100It's not a perfect triangle.
Item c:
h² = 5² + 6²h² = 61h = √61 ≠ 7It's not a perfect triangle.
Item d:
h² = 2² + 3²h² = 13h = √13 ≠ 5Therefore, the length in inches of the triangle will be (A) 6, 8, 10.
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The correct question is given below:
Rosemary is cutting 3 wooden sticks to build part of a kite frame. The part she is building must be a right triangle. Which choice below could be the lengths, in inches, of the sticks rosemary cut?
A. 6, 8, 10.
B. 2, 5, 10.
C. 5, 6, 7.
D. 2, 3, 5.
I converted 600 kcal into units of btu, joules, and kwh. the answers were 0.70, 2380, and 2.51x106; except i forgot which number goes with which units. what is the correct pairing of values and units?
Answers
600 kcal, when converted, is equivalent to 2380 BTU, 2.51 x 10^6 joules, and 0.70 kwh.
In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume, etc. to another.
A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.
kcal, BTU, joules, and kwh are all units of energy. To convert kcal to these units, we can use the following conversions:
1 kcal = 3.96567 BTU
1 kcal = 4184 joules
1 kcal = 0.00116222 kwh
Converting 600 kcal to BTU, joules and kwh:
1 kcal = 3.96567 BTU
600 kcal = 600(3.96567 BTU)
600 kcal = 2379.4 BTU ≅ 2380 BTU
1 kcal = 4184 joules
600 kcal = 600(4184 joules)
600 kcal = 2.51 x 10^6 joules
1 kcal = 0.00116222 kwh
600 kcal = 600(0.00116222 kwh)
600 kcal = 0.697333 kwh ≅ 0.70 kwh
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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Answers
Answer:
A
Step-by-step explanation:
Last week, Jaime spent 34, 30,45,30,40,38,
and 28 minutes practicing for football. Find
the ________________
.Round to the
nearest whole number,
Answers
Answer:
35 average minutes at practice.
Step-by-step explanation:
Answer:
What do I find?
If it's the mean then the answer is 35.
Step-by-step explanation:
34, 30, 45, 30, 40, 38, 28 ==> 7 numbers
34+30+45+30+40+38+28=245
245/7=35
I need your help!
In this diagram,
Answers
Answer:
15
Step-by-step explanation:
I can't explain lol its 15 tho
The points (10,w) and ( – 6, – 9) fall on a line with a slope of 1. What is the value of w?
i need an answer ASAP
Answers
Greetings from Brasil...
We have 2 ways to solve:
1 - through the expression of the slope m (attached figure 1)
2 - determinat (attached figure 2)
1:
m = ΔY/ΔX
as m = 1, as stated in the statement, then
1 = (- 9 - w)/(-6 - 10)
w = 7check attachments
________________________________
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Paul wants to hand out flyers for his new tutoring business. So far he has
handed out 30 flyers. He has 10 more days before his first customers arrive
and would like to hand out a total of 250 flyers. Write and solve an equation
to find how many flyers he would have to hand out each day to meet his
goal.
Answers
The equation to find the number of flyers is 10 x + 30 = 250 and the flyers he will hand over each day is 22.
Number of flyers handed out = 30
Total number of flyers = 250
The equation will be:
30 + 10 x = 250
Solving the equation, we get that:
Subtract 30 from both the sides:
10 x = 250 - 30
10 x = 220
Divide both sides by 10:
x = 220 / 10
x = 22
Therefore, the equation to find the number of flyers is 10 x + 30 = 250 and the flyers he will hand over each day is 22.
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Of the 200200 parking spaces in a parking lot, 6\%6% of the spaces are reserved for handicapped parking. Of those parking spaces NOT reserved for handicapped parking, 2020 are suitable for compact cars only. How many spaces that are NOT reserved for handicapped parking are suitable for non-compact cars?
Answers
Using proportions, it is found that 38 spaces are suitable for non-compact cars.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
For this problem, we have that:
94% of the spaces are not reserved for handicapped parking, hence this number is of 0.94 x 200 = 188.Of those, 20% are suitable for compact cars, hence 0.2 x 188 = 38.38 spaces are suitable for non-compact cars.
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