what is the difference in length between 15 1/8 and 14 5/8
Answer:
4/8
Step-by-step explanation:
15 1/8 - 1/2(4/8) = 14 5/8
In the diagram below FG is parallel to CD. EF=6.9, FC=6.4, And GD= 5.1. Find the length of EF. Round your answer to the nearest 10th if necessary.
The length of EF which lie on line EC is 8.66 units.
What is parallel lines?Parallel lines are the lines that do not intersect or meet each other at any point in a plane. They are always parallel and are at equidistant from each other. Parallel lines are non-intersecting lines.
Here, EG = 6.9 , FC = 6.4, GD = 5.1
Also. FG || CD
By Basic Proportionality Theorem,
[tex]\frac{EF}{FC} = \frac{EG}{GD}[/tex]
[tex]EF = \frac{EG . FC}{GD}[/tex]
EF = (6.9 X 6.4) / 5.1
EF = 8.66 units
Thus, The length of EF which lie on line EC is 8.66 units.
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Measure the angle shown below.
a protractor showing an angle going through the fifteenth tick mark after two hundred sixty five degrees
272°
275°
279°
280°
The measure of the angle shown is 280°
Calculating anglesFrom the question, we are to determine the measure of the angle shown
For the given protractor,
The measure between any two lines is 10°.
Also, there are 10 tick marks between any two lines.
∴ 15 tick marks will have a measure of 15°
Then,
The measure of a protractor showing an angle going through the fifteenth tick mark after two hundred sixty five degrees will be
265° + 15° = 280°
Hence, the measure of the angle shown is 280°
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There are 30 students in a homeroom. How many different ways can they be chosen
to be elected President, Vice President, Treasurer, and Secretary?
You could vote on it? There are as many ways as you can think of. It’s not set in stone.
Find the gradient of the curve y =2x³-7x+4when x=-2
By applying concepts from vectorial calculus, we conclude that the gradient of the one variable function y = 2 · x³ - 7 · x + 4 when x = -2 is equal to 17.
How to find the gradient of a functionA gradient is a generalization of the tangent curve used for multivariate function, that is, a function with more than one variable. In this case we have a function with one variable, which means that the gradient is equal to the slope:
[tex]\nabla f = \frac{df}{dx}[/tex] (1)
Now we proceed to calculate the gradient of the curve:
[tex]\nabla f = 6\cdot x^{2}-7[/tex]
[tex]\nabla f = 6\cdot (-2)^{2}-7[/tex]
[tex]\nabla f = 17[/tex]
By applying concepts from vectorial calculus, we conclude that the gradient of the one variable function y = 2 · x³ - 7 · x + 4 when x = -2 is equal to 17.
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use the number line to find each product
- (3)(-3) =
Answer:
it's 9
Step-by-step explanation:
type it in a calculater
which expression is equivalent to 56x - 28y + 42?
A) 8(7x-3y + 6)
B) 7(8x + 4y +6z)
C) 7(8x - 4y + 6)
Answer: c or a
Step-by-step explanation:
Match the given side or angle to its measure using the parallelogram below.
Answer:
A=108
B=22
C=51
D=28
Step-by-step explanation:
A= AFB is a vertical angle opposite 108
B= congruent angles congruent sides, 11 x 2 sides
C= using angle rules, alternate interior angles of 21 puts 21 in the
triangle with 108, all triangles sum total 180, so (180-21=51)
for the 3rd angle ACD
D=last answer
mi
pie
In the following diagram, BC is parallel to DE.
What is the measure of Zz?
Angles are not necessarily drawn to scale.
B
C
4
103°
A
D
F
La=
42°
E
Answer: 35
Step-by-step explanation:
Angles in a triangle add to 180 degrees, so in triangle ABC, [tex]m\angle C=180-103-42=35^{\circ}[/tex].
Sp, by the corresponding angles theorem, x=35
What is 6x-6x56 =?
Show all work.
Answer:
6x-6x56 =-2016
Step-by-step explanation:
You have to subtract, then multiply by 56 to get -2016, as it shows a negative.
Olivia’s power went outa at midnight she knows that during a power outage if is important to leave the freezer and refrigerator doors closed
Based on the fact that there is power outage, it is important to leave the freezer and refrigerator doors closed as when it is open, it may lead to heating off fast.
What is power outage?This is known to be when there is no electrical power due to unforeseen reasons.
Based on the fact that there is power outage, it is important to leave the freezer and refrigerator doors closed as when it is open, it may lead to heating off fast and thus things on it may get bad easily. The right thing to do is to leave it closed.
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A fish tank is three-fourths full.
One-third of the water leaks out.
How full is the fish tank now?
Answer: [tex]\frac{5}{12}[/tex]
Step-by-step explanation:
We will subtract the amount of water that leaked out from the amount of water originally in the fish tank.
[tex]\displaystyle \frac{3}{4} - \frac{1}{3} =\frac{3*3}{4*3} -\frac{1*4}{3*4} =\frac{9}{12} -\frac{4}{12}=\frac{5}{12}[/tex]
The fish tank is [tex]\frac{5}{12}[/tex] of the way full.
What is the correct expanded from and value of 4^3
Answer:
4^3 = 4x4x4
Step-by-step explanation:
its just a shortened version of 4x4 3 times
Simplify this expression.
(√2+√3)(√5-√7)
O √5+√=2
O √10+√15-√14-√21
02√5-2√7
O 2√5 +3√5-2√7-3√7
Answer:
√10+√15-√14-√21
Explanation:
(√2 * √5) = √10
(√2 * -√7) = -√14
(√3 * √5) = √15
(√3 * -√7) = -√21
Put it all together: √10 + √15 - √14 - √21
Hope this helped :)
The simplified form of the expression (√2+√3)(√5-√7) is √10-√14+√15-√21
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is (√2+√3)(√5-√7)
√2(√5-√7) + √3(√5-√7)
We have to apply distributive property
√2.√5 - √2.√7 + √3.√5 -√3.√7
√2×5 -√2×7 +√3×5 -√3×7
√10-√14+√15-√21
Hence, the simplified form of the expression (√2+√3)(√5-√7) is √10-√14+√15-√21
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B Christian installed an electric pump to pump water from a borehole into a 30 000 litre cement dam. If the water is pumped at a rate of 75 litres per minute. How long does it take to fill the dam?
A.4 h
B.6 h 40 min
C.6 h 20 min
D.3h 40 min
Given the amount of water needed to fill the cement dam and the water pump rate, the time needed to fill the dam is 400 minutes or 6hours 40minutes.
Option B)6h 40min is the correct answer.
How long does it take to fill the dam?Given that;
Amount of water needed to fill the dam A = 30000 litresPump rate r = 75 litres per minuteTime needed to fill the dam T = ?To determine how long it take to fill the dam, we say;
Time need = Amount of water needed ÷ Pump rate
T = A ÷ r
T = 30000 litres ÷ 75 litres/minute
T = 400 minutes
Note that; 60min = 1hrs
Hence,
T = 6hours 40minutes
Given the amount of water needed to fill the cement dam and the water pump rate, the time needed to fill the dam is 400 minutes or 6hours 40minutes.
Option B)6h 40min is the correct answer.
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PLEASE HELP! PIC ATTACHED
Answer:
x = 25
Step-by-step explanation:
First turn this into an equation:
[tex]\frac{4}{5}[/tex] times x = 20
Now divide both sides by [tex]\frac{4}{5}[/tex]. You can't divide by a fraction, instead you multiply by flipping the fraction. So now you're multiplying both sides by [tex]\frac{5}{4}[/tex].
20 times 5 = 100. Next you divide [tex]\frac{100}{4}[/tex]. This is equal to 25. You have completed the equation and now have the answer:
x = 25
Have a great day!
3x + 12+ 9x - 72
Solve?
Answer:
12x - 60
Step-by-step explanation:
[tex]3x+12+9x-72\\=3x+9x+12-72\\=12x+12-72\\=12x-60[/tex]
Solve the following system of equations. Show all work and solutions.
y = 2x^2 + 6x + 1
y = −4x^2 + 1
Make the equations equal and solve for x
2x²+6x+1=-4x²+16x²+6x=06x(x+1)=06x=0 or x+1=0x=0 or x=-1For x=0
y=-4(0)+1=1For x=-1
y=-4(1)+1=-3The solutions are
(0,1) and (-1,-3)Graph attached
1 euro = $1.09 $1= 62 rupees Change 400 euros into rupees using these exchange rates.
Answer:
27,032 Rupees
Step-by-step explanation:
$1.09 x 400 = $436
$436 x 62 = 27,032
(Hope this helps and that it's not wrong ^-^)
What is the area, in square units, of the polygon shown here?
A figure in the shape of a block letter L with a vertical height of 8 units and a length of 5 units is shown. The length of the top of the L is 2 units and the height of the right side of the L is 1 unit.
14 units2
16 units2
17 units2
19 units2
The area of a 2D form is the amount of space within its perimeter. The correct option is D.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The area of the L block will be the sum of the area of A and B. Therefore, the area can be written as,
Area of L block = Area of A + Area of B
= (7×2) units² + (1 × 5) units²
= 14units² + 5units²
= 19units²
Hence, the correct option is D.
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* BRAINLIEST IT WILL AFFECT MY GRADE!! *
Problem 5.2
Here are three lines that intersect at
one point.
Determine the values of x, y, and z
Answer:
z=98 degrees
x=64 degrees
y=18 degrees
Step-by-step explanation:
y is congruent to 18 since theyre opposite of eachother, same with x and 64. find z by using the straight 180 line. (180=64+18+z, so z=98)
Point L is located at (-1,-6). Determine the coordinates of point L’ after a translation 7 units to the left and 6 units up.
Answer:(-8,0)
Step-by-step explanation:
Add (-1,-6) with translation move (-7,6)
-1 , -6
-7 , 6
____
-8 , 0
Toby has $70 saved.He is saving $15 more each week.In how many weeks will he have $280 saved to buy the new skateboard he wants?
Answer:
14 weeks
Step-by-step explanation:
Let's create and equation to display this situation. Toby already has $70 saved, so that is not the variable and no x should go next to it. He is saving $15 more each week. Lastly, we want to end up with $280 saved. The equation will look like this, given the information:
15x + 70 = 280
To find how many weeks it will take, solve the equation!
15x = 210 Subtract 70 from 280
x = 14 Divide 210 by 15
Therefore, it will take Toby 14 weeks to save up for a new skateboard.
Hope this helps! If you have any questions about my work, please let me know down in the comments!
What are two limiting factors that affect both deciduous forests and grasslands?
1. very low rainfall throughout the year
2. seasonal changes in the amount of sunlight
3. a wide range of temperatures throughout the year
4. soil that is low in nutrients and organic matter
The two limiting factors that affect both deciduous forests and grasslands very low rainfall throughout the year , a wide range of temperatures throughout the year , Option 1 and 3 are the correct answer.
What are Grasslands ?The places where there is not enough rainfall for the forest to sustain and grow , a layer of grass is spread out , these are called as grasslands.
The two limiting factors that affect both deciduous forests and grasslands is that they both receive very low rainfall throughout the year.
and a wide range of temperatures throughout the year , It can get very warm and simultaneously very cold .
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The NUK Energy Company is designing a new logo, as shown in the accompanying
diagram, with mNK-130 and mNK-m.NU.
N
K
What is the measure of ZKNU?
1) 80°
2) 65°
3) 50°
4) 100°
U
The measure of the angle KNU (∠KNU) of the cyclic quadrilateral is; Option 3: 50°
How to find the angle in a quadrilateral?
From the attached cyclic quadrilateral of NUK Energy Company's new logo, we can say that equal angles intercept equal arcs and as such, the measure of angle KNU will be;
∠KNU 1/2 * 100 = 50°
This is because If two inscribed angles of a circle intercept the same arc or arcs of equal measure, then the inscribed angles have equal measure.
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can someone please hepl me on tis
Answer:
Answer is in pictures
Step-by-step explanation:
36=6x6 90=9x10
256+7=263 104=98+6-2
678=678 81+9=90
One week, Genesis earned $367.40 at her job when she worked for 22 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $584.50?
Answer:
Step-by-step explanation:
Givens
time = 22 hourswage = 367.40time2 = ?desired wage2 = 584.50Comment
This is a proportion. A proportion is 2 equal ratios. If you know 3 parts of a proportion, you can solve for the 4th.
Equation
wage/time = wage2/time2 Substitute values.
Solution
367.40 /22 = 584,50 /x Cross multiply
367.40x = 22 *584.50 Simplify the right
367.40x = 12859 Divide both sides by 367.40
x = 12859/367.40
x = 35
Answer
Genesis will have to work 35 hours.
Nathan needs some paint for his bedroom. He finds two cans of white paint, four cans of green paint and three cans of pink paint in his garage. If he chooses a can of paint without looking at the color, what is the chance that he will paint his bedroom pink?
A. 1/3
B. 2/9
C. 2/3
D. 6/9
The probability of randomly selecting a can of pink paint is P = 1/3, so the correct option is A.
What is the chance that he will paint his bedroom pink?Assuming that all the cans of paint have the same probability of being randomly selected, the probability that he will choose a pink can is equal to the quotient between the number of pink cans and the total number of cans.
There are 2 cans of white, 4 cans of green, and 3 cans of pink, so a total of 9 cans.
Then the probability is:
P = 3/9 = 1/3.
The correct option is A.
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Yusuf and some friends are going to the movies. At the theater, they sell a bag of popcorn for $4 and a drink for $3.25. How much would it cost if they bought 4 bags of popcorn and 8 drinks? How much would it cost if they bought p bags of popcorn and d drinks? Total cost, 4 bags of popcorn and 8 drinks: Total cost, p bags of popcorn and d drinks:
Answer:
$42 would be the correct answer.
A boat is 100 m from the bottom of a 75 m high cliff. Determine the angle of elevation
from the boat to the top of the cliff. (Round to the nearest degree.)