Answer:
please mark my answer brainliest
Step-by-step explanation:
10q (1-3)
If AD = 6, DC = 14, and BE = 4.75, calculate EC. Image not set to scale.
Answer:
[tex]\Large \boxed{11.08}[/tex]
Step-by-step explanation:
The triangles are congruent, we can use ratios to solve.
AD/DC = BE/EC
Let the length of EC be x.
6/14 = 4.75/x
Solve for x.
Cross multiply.
6 × x = 14 × 4.75
6x = 66.5
Divide both sides by 6.
(6x)/6 = (66.5)/6
x = 11.083333...
Greetings from Brasil...
Here we can use similarities of triangles
AC/DC = BC/EC
20/14 = (4.75 + X)/X
X ≅ 11.1
see attachment
what is the value of the angle ?
Answer:
47°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles
124° is an exterior angle , thus
77 + ? = 124 ( subtract 77 from both sides )
? = 47°
5 ratio 4 = 35 ratio x
Answer:
5 ratio 4 is
35 ratio 28
they both multiply by 7.....
Answer:
[tex]\large \boxed{x=28}[/tex]
Step-by-step explanation:
[tex]5:4=35:x[/tex]
Ratios can be expressed as fractions.
[tex]5/4=35/x[/tex]
Cross multiply.
[tex]5 \times x = 4 \times 35[/tex]
[tex]5x=140[/tex]
Divide both sides by 5.
[tex](5x)/5=140/5[/tex]
[tex]x=28[/tex]
Jolene bought 3 plants at a greenhouse. Each plant cost $2.50. To calculate the total cost of the plants, Jolene added (3(2)) + (3(0.50)). What property of multiplication did she use?*
A.Distributive Property
B.Associative Property
C.Commutative Property
D.Identity Property
Answer:
The answer is A.Distributive PropertyStep-by-step explanation:
Distributive property of multiplication has to do with the multiplication of numbers by the sum of that number
say in our given example $2.05.
When we decide to multiply 3 property with $2 and $0.5 which when added together will still give $2.05, we are using distributive property of multiplication.
Hence according to distributive property 3*$2.05 is the same as
3*$2 + 3*$0.5
Let f (x) = x – 4 and g(x) = 6 - x
Evaluate g(f(10)).
G(f(10))
First solve f(x) by replacing x with 10:
F(x) = x-4 = 10-4 = 6
Now replace x in g(x) with 6
G(x) = 6-x = 6-6 = 0
So g(f(10)) = 0
Given that T{X: 2<x ≤ 9} where x is an integer. what is n(T)
Answer:
n(T) = 7Step-by-step explanation:
Given the set T{X: 2<x ≤ 9} where x is an integer, the element of the set T will be {3, 4, 5, 6, 7, 8, 9}. note that from the inequality set 2<x ≤ 9, x is not equal to 2 but greater than 2. The inequality can be divided into two as shown;
If 2<x ≤ 9 then 2<x and x≤9
If 2<x, this means x>2 but not equal to 2. This is the reason why 2 is not contained in the set T.
Similarly if x≤9, this shows that x can not be greater than 9 but less than or equal to 9.
Since the set T = {3, 4, 5, 6, 7, 8, 9}, we are to find n(T). n(T) means cardinality of the set T and cardinality of a set is defined as the total number of element in a set.
Hence n()n(T) = 7 (since there are 7 elements in the set T)
rational number 3 by 40 is equals to
Answer:
6/80, 9/120, 12/160 etc
Answer:
3/40 = 6/80 = 9/120 = 12/160 etc......
Hope it helps
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- X, what is the value of (f - g)(2)?
Answer:
2
Step-by-step explanation:
because ther is in the picture
Find the perimeter of rectangle whose length is 40 and the diagonal is 41 cm
Answer:
P = 98 cmStep-by-step explanation:
Given one side and diagonal of rectangle we can use Pythagorean theorem to calculate the other side of it.
[tex]L=40\, cm\\D=41\,cm\\W=\ ?\\\\W^2+L^2=D^2\\\\W^2+40^2=41^2\\\\W^2+1600=1681\\\\W^2=81\\\\W=9[/tex]
Perimeter:
P = 2W + 2L = 2•40 + 2•9 = 80 + 18 = 98
Flight time from Houston to Orlando is 2 hours to 20 minutes. I arrived at Orlando at 4:15 pm. What time did I set of ?
Answer:
1:55 pm
Step-by-step explanation:
So, you arrive at 4: 15 pm in Orlando after a 2 hr and 20 minute flight from Houston. So, lets start with the easy part: let's subtract the 2 hrs part.
2 hrs earlier from 4:15 pm is 2:15 pm.
Then, you have to subtract the 20 minutes. Well, it's quite obvious that if you left at 2:00 pm, that would be a total of 2 hrs and 15 minutes. Just subtract the 15 minutes from the 2:15 pm. However, it's 20 minutes, not 15, so you have to still subtract that last five minutes.
So, 2:00 pm minus 5 minutes would equal 1:55 pm.
This event is independent, true or false?
There are eight shirts in your closet, four blue and four green. You randomly select one to wear on Monday and then a different one on Tuesday.
Answer:
False
Step-by-step explanation:
Because the question says you pick a different shirt on Tuesday than on Monday, that means you have one less shirt you can select, so the event is dependent.
how many are 7 raised to 3 ???
Answer:
343
Step-by-step explanation:
7^3 =
7*7*7
343
Scientists are studying the temperature on a distant planet. They find that the surface temperature at one location is 50° Celsius. They also find that the temperature decreases by 3° Celsius for each kilometer you go up from the surface. Let T represent the temperature (in Celsius), and let H be the height above the surface (in kilometers). Write an equation relating T to H, and then graph your equation using the axes below.
Answer:
T(H) = -3H + 50.
Step-by-step explanation:
The constant will be 50 degrees Celsius. The surface temperature at the location will not change. The temperature decreases by 3 degrees Celsius for every kilometer going up, so the slope will be -3 degrees.
You are trying to find the temperature on the planet, and you are changing the kilometers of altitude to find the temperature. The x-variable is your independent variable, which means that you will be changing the x-variable. So, H is your x-variable while T is your y-variable.
T = -3H + 50.
To graph, we can use the Math is Fun Function Grapher and Calculator. The graph is seen below.
Hope this helps!
5 - (4 - 3x) = 10
how would u distubute in this problem
Answer:
x = 3
Step-by-step explanation:
Given
5 - (4 - 3x) = 10 ← distribute the terms in the parenthesis by - 1
5 - 4 + 3x = 10, that is
1 + 3x = 10 ( subtract 1 from both sides )
3x = 9 ( divide both sides by 3 )
x = 3
Will give Brainliest, Please show work.
I need help
2x+10=14
x=2
Area: 14.4= 56
3x+16=25
3x=9
x=3
17x-1,7=37,4
17x=39,1
x=2,3
5/8 divided by 11/9 divided by 1/4=
Answer:
45/22
Step-by-step explanation:
(a/b)/(c/d) = (a*d)/(b*c)
then
{(5/8)/(11/9)} / {1/4)}
= {(5*9)/(8*11)} / {1/4)
= {45/88} / {1/4}
= {45*4} / {88*1}
= 180/88
= 45 / 22
An orchardist is to plant apple trees and pear trees in the ratio 3:11. If he intends to plant 150 apple trees, how many pear trees will he need to plant?
The ratio 2:11 means for every 3 apple trees they will plant 11 pear trees.
They are planting 150 apple trees. Divide total apple trees by the ratio: 150/3 = 50
Multiply that by the ratio of pear trees:
50 x 11 = 550
They need to plant 550 pear trees.
Given that v = u + 10t, find y when
u= 6 and t = 9.
Answer:
hey here is the answer
Step-by-step explanation:
Subject of the formula:
It is a variable which is expressed in terms of other variables involved in the formula.
Formulas are written so that a single variable, the subject of the formula is on the L.H.S. of the equation. Everything else goes on the right side of the equation. We evaluate the formula by substituting for the literal numbers on the right hand side.
For example:
In the formula v = u + at, v is the subject.
To find v in the example, we substitute the values u, a and t in the R.H.S. of the equation.
Changing the subject of the formula:
To change the subject of a formula, begin with the variable to become the new subject, and apply inverse operation as for solving equations in the opposite order to the order conventions.
1. To make ‘u’ the subject of the formula in v = u + at,
[subtract at from both sides]
v - at = u
or, u = v - at
2. To make ‘t’ the subject of the formula, v = u + at,
[subtract u from both sides]
v - u = at
or, (v - u )/a = t
or, t = (v - u)/a
Change the Subject of a Formula
The value of the equation is v = 96 when u = 6 and t = 9
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
v = u + 10t be equation (1)
when u = 6 and t = 9
Substitute the value of u and t in the equation , we get
v = 6 + 10 ( 9 )
On simplifying the equation , we get
v = 6 + 90
v = 96
Therefore , the value of v is 96
Hence , the equation is v = 96
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Jermiah answer 90% of the questions on his test correctly. There are 40 questions on the test
Answer:
36 answered correctly
Step-by-step explanation:
Hey there!
Well 90% of 40 is 36.
This is true because 90% as a fraction not simplified is 36/40 and when we do,
36 ÷ 40 we get .9.
And we move the decimal places 2 times to the right in .9 and we get 90%.
Hope this helps :)
Answer:
36
Step-by-step explanation:
The data represents the number of runs allowed by 8 college softball pitchers. {18, 49, 38, 41, 33, 44, 42, 22}
This Question is incomplete
Complete Question:
The data represents the number of runs allowed by 8 college softball pitchers. {18, 49, 38, 41, 33, 44, 42, 22}
What is the five number summary:
a) Minimum
b) Q₁
c) Median
d) Q₃
e) Maximum
Answer:
a) Minimum = 18
b) Q₁ = 27.5
c) Median = 39.5
d) Q₃ = 43
e) Maximum = 49
Step-by-step explanation:
From the above diagram, we were given the following set of data.
{18, 49, 38, 41, 33, 44, 42, 22}
Before answering any of the questions, we have to rearrange the data from the lowest to the highest (ascending order). Hence, we have:
{18, 22, 33, 38, 41, 42, 44, 49}
a) Minimum
{18, 22, 33, 38, 41, 42, 44, 49}
Looking at this set of arranged data, the minimum number is the least or lowest number.
This number is 18
b) Q₁
{18, 22, 33, 38, 41, 42, 44, 49}
Q₁ means First Quartile. The formula is = ¼(n + 1)th value
n = Number of terms in the data set = 8
= ¼(8 + 1)th value
= ¼(9)th value
= 2 1/4 value
= 2.25 value
In the above Question, the 2.25 value is the value between the second and third number.
Hence:
22+33/2 = 55/2 = 27.5
Therefore, Q₁ = 27.5
c) Median
{18, 22, 33, 38, 41, 42, 44, 49}
The median of the number is the number in the middle
For this data, we have 8 number, Hence the median is the sum of the 4th and 5th term divided by 2
4th term = 38
5th term = 41
= 38 + 41/ 2 = 79/2
= 39.5
Hence, the median = 39.5
d) Q₃
{18, 22, 33, 38, 41, 42, 44, 49}
Q₃ means Third Quartile. The formula is = ¾(n + 1)th value
n = Number of terms in the data set = 8
= ¾(8 + 1)th value
= ¾(9)th value
= 6 3/4 value
= 6.75 value
In the above Question, the 6.75 value is the value between the sixth and seventh number.
Hence:
42+44/2 = 86/2 = 43
Therefore, Q₃ = 43
e) Maximum
{18, 22, 33, 38, 41, 42, 44, 49}
Looking at this set of arranged data, the Maximum number is the highest number.
This number is 49
To bake 12 cookies, I use 2 quarts of milk. There are 2 pints in a quart. How many pints of milk do I need to bake 3 cookies?
Answer:
1 pint
Step-by-step explanation:
You need 2 * 2 = 4 pints to make 12 cookies. Since 3 cookies is 1/4 of 12 cookies, you would need 1/4 * 4 = 1 pint of milk to make 3 cookies.
Answer:
1 pint
Step-by-step explanation:
12c=4p
divide both sides by 4
3 cookies needs 1 pint!!!!
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PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
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JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
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The size of a television screen is given as 95 cm, correct to the nearest 5 cm.
Write down the upper bound of the size of the television screen.
Answer:
U B = 100.5
Step-by-step explanation:
the upper bound of the size of the television screen= 95.5 since it is corrected to the nearest 5 then the U B =100.5 cm
The upper bound of the size of the television screen is 100.5 cm
The conversion of the size of the television screen to the nearest 5cm from the initial size of 95 cm is = 100 cm.
Now, the upper bound of the size of the television screen which is 100 is can be determined by the addition of a half value to 100 cm:
i.e.
= (1/2) + 100 cm
= 0.5 + 100 cm
= 100.5 cm
Therefore, we can conclude that the upper bound of the size of the television screen is 100.5 cm
Learn more about nearest value here:
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Hi if anyone is able to simplify this problem please help me and do so
Answer:
Step-by-step explanation:
Hello,
26 = 2 * 13
8 = 2 * 4
so we can simply as below.
[tex]\dfrac{26}{8}\\\\=\dfrac{2*13}{2*4}\\\\\boxed{=\dfrac{13}{4}}[/tex]
Thank you
[tex]\dfrac{26}{8}=\dfrac{13\cdot2}{4\cdot2}=\,\boxed{\,\dfrac{13}4\,}\,=\dfrac{3\cdot4+1}4=3\frac14[/tex]
or if its 20, not 26:
[tex]\dfrac{20}{8}=\dfrac{4\cdot5}{4\cdot2}=\, \boxed{\,\dfrac{5}2\,}\, =\dfrac{2\cdot2+1}2=2\frac12[/tex]
28.Neethi had 8
1
4
cups of flour and 3 liters of juice with her. She decided to make cupcakes and
distribute juice for her birthday.
a) A cupcake requires 3
4
cup of flour. How many cupcakes can she make?
Answer:
2 1/3 cupcakes
Step-by-step explanation:
A cupcake can make 3 four cups of flour
In 8 fourteen cups of flour, require (14 X 4)/(3 X 8) of cupcakes
= 56/24 = 2 1/3 cupcakes
1.2 Exit Ticket
POSSIBLE POINTS: 0.5
Below are the total number of students for each teacher in the Arts department. Round to the nearest tens place in order to estimate the total amount of
students enrolled in an art course,
132, 145, 97, 112, 128, 82
1
2
RE
Answer:
174
Step-by-step explanation:
Given
132, 145, 97, 112, 128, 82
Required
Estimate amount of students in an art class
This is calculated by obtaining the mean of the given data
[tex]Mean = \frac{\sum x}{n}[/tex]
Where n is the number of observations
So; n = 6
[tex]Mean = \frac{132+ 145+ 97+ 112+ 128+ 82}{6}[/tex]
[tex]Mean = \frac{696}{6}[/tex]
[tex]Mean = 174.0[/tex]
Hence, the estimated number of students is 174
14. A plane traveled from California and back. It took one hour longer on the way out than it did on the way back. The plane's average
speed out was 300 mph. The average speed on the way back was 350 mph. How many hours did the trip out take?
A. 13 hours
B. 8 hours
C. 7 hours
D. 6 hours
Answer:
C. 7 hours
Step-by-step explanation:
Let the time for the trip out be represented by t. Then the time for the return trip is t-1. The distance was the same for both trips, so we have ...
distance = speed × time
300t = 350(t -1)
300t = 350t -350 . . . . eliminate parentheses
350 = 50t . . . . . . . . . . add 350-300t
7 = t . . . . . . divide by 50
The trip out took 7 hours.
Verify the identity. cot(x - pi/2) = -tan(x)
Answer:
See below.
Step-by-step explanation:
[tex]\cot(x-\frac{\pi}{2})=-\tan(x)[/tex]
Convert the cotangent to cosine over sine:
[tex]\frac{\cos(x-\frac{\pi}{2} )}{\sin(x-\frac{\pi}{2})} =-\tan(x)[/tex]
Use the cofunction identities. The cofunction identities are:
[tex]\sin(x)=\cos(\frac{\pi}{2}-x)\\\cos(x)=\sin(\frac{\pi}{2}-x)[/tex]
To convert this, factor out a negative one from the cosine and sine.
[tex]\frac{\cos(-(\frac{\pi}{2}-x ))}{\sin(-(\frac{\pi}{2}-x))} =-\tan(x)[/tex]
Recall that since cosine is an even function, we can remove the negative. Since sine is an odd function, we can move the negative outside:
[tex]\frac{\cos((\frac{\pi}{2}-x ))}{-\sin((\frac{\pi}{2}-x))} =-\tan(x)\\-\frac{\sin(x)}{\cos(x)} =-\tan(x)\\-\tan(x)\stackrel{\checkmark}{=}-\tan(x)[/tex]
Rachelle buys a drink. She spends the same amount of money on her drink as Chuck spent on his candy. Rachelle now has only 1/3 of the same amount of money that she had before she bought the drink. How much money did Rachelle have before she bought the drink?
Answer:
$1.80
Step-by-step explanation:
2/3x = 1.2
x = 1.2 / (2/3)
x = 1.2 * (3/2)
x = 1.80
A train covered a certain distance at a uniform speed. If the train would have been 6km/h faster, it would have taken 4 hours less than the scheduled time. And, if the train were slower by 6km/h, it would have taken 6 hours more than the scheduled time. Find the length of the journey.
Answer:Let x km/hr be the speed of train
Let y be the time taken by the train
Distance = speed x time
= x y
To form the first equation let us consider the given information from the question that is If the train had been 6 km/hr faster,it would have taken 4 hours less than the scheduled time.
it clearly says that speed is increased by 6 and time is reduced by 4
So , (x + 6) (y - 4) = x y
x y - 4 x + 6 y - 24 = x y
x y - x y - 4 x + 6 y = 24
- 4 x + 6 y = 24
divided by (-2) => 2 x - 3 y = -12 ----- (1)
To form the second equation let us consider the given information from the question that is If the train were slower by 6km/hr, then it would have taken 6 hours more than the scheduled time.
it clearly says that speed is reduced by 6 and time is increased by 6
So , (x - 6) (y + 6) = x y
x y + 6 x - 6 y - 36 = x y
x y - x y + 6 x - 6 y = 36
6 x - 6 y = 36
divided by (6) => x - y = 6 ----- (2)
2 x - 3 y = -12
(2) x 2 => 2 x - 2 y = 12
(-) (+) (-)
---------------
- y = -24
y = 24
Now we have to apply the value of y in the first equation to get value of x
Substitute y = 24 in the first equation we get
2 x - 3 (24) = -12
2 x - 72 = -12
2 x = -12 + 72
2 x = 60
x = 60/2
x = 30
Speed of the train = 30 km/hr
Time taken by the train = 24 hours
Distance covered by the train = x y = 30 x 24 = 720 km
Verification:
2 x – 3 y = -12
2(30) - 3(24) = -12
60 - 72 = -12
-12 = -12
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The volume of each small box is 9 cubic feet and the volume of each large box is 24 cubic feet. A total of 24 boxes of paper were shipped with a combined volume of 441 cubic feet. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.
Answer:
9 small boxes and 15 large boxes
Step-by-step explanation:
x = small box
y = large box
x + y = 24
9x + 24y = 441
-9x - 9y = -216
15y = 225
y = 15
x + 15 = 24
x = 9
Answer:
Let x be the small boxes
Let y be the large boxes
x+y=24
9x+24y=441
Step-by-step explanation:
