9514 1404 393
Answer:
x = 65°y = 32.5°Step-by-step explanation:
ΔBCD is isosceles, so ∠CDB = ∠CBD = x. The sum of angles in the triangle is 180°, so you have ...
x + x + 50° = 180°
2x = 130° . . . . . . . . . subtract 50°, collect terms
x = 65° . . . . . . . divide by 2
__
Triangle ABC is also isosceles, so ∠BAC = ∠BCA = y. Angle ABC is the supplement of angle x. The sum of angles in ΔABC is 180°:
y + y + (180° -x) = 180°
2y - 65° = 0 . . . . . . . . . . subtract 180°, substitute the value of x
y -32.5° = 0 . . . . . . . divide by 2
y = 32.5° . . . . . . . . . . add 32.5°
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5
Order 0.54, and 45%, from least to greatest.
4'
Answer:
[tex]0.45, 0.54[/tex]
Step-by-step explanation:
Given
[tex]0.54\ and\ 45\%[/tex]
Required
Order from least to greatest
We start by converting 45% to decimal
[tex]45\% = \frac{45}{100}[/tex]
[tex]45\% = 0.45[/tex]
So, the numbers are:
[tex]0.54\ and\ 0.45[/tex]
On a number line:
0.45 comes before 0.54
This implies that:
[tex]0.45 < 0.54[/tex]
And the required order is:
[tex]0.45, 0.54[/tex]
which describes the transformation of. ◇PQR to z◇P'Q'R
Answer:
shift 4 units to right and 5 units up
Step-by-step explanation:
Answer:
shift 4 units to right and 5 units up
Step-by-step explanation:
what is the coefficient in this mathematical expression 1/4 + 2.7 x³
Answer:
2.7
Step-by-step explanation:
A coefficient is the number multiplied by the variable and is frequently to the left of the variable.
Therefore, it is 2.7
Hope this helps :)
Find the value of f(5) for the function.
f(x)=−6(x+1)
Answer:
f(5) = -36
Step-by-step explanation:
Plug in 5 as x:
f(x) = −6(x + 1)
f(5) = -6(5 + 1)
Simplify:
f(5) = -6(6)
f(5) = -36
So, f(5) = -36
PLEASE HELP ASAP!!!!
The capacity of a water jug can hold 4 3/4 pints of liquid. How many cups is this?
Answer:
1.5
Step-by-step explanation:
Answer:
9.5 cups
Step-by-step explanation:
Describe the transformation of y=3(x-3)²+3
Answer:
Streatch by 3, Left by 3 and Up 3
7 - (2x + 1) + 4x
please show solving steps as well
Answer:
[tex]2x + 6[/tex]
Step-by-step explanation:
[tex]7 - (2x + 1) + 4x[/tex]
Distribute the negative inside 2x+1
[tex]7 - 2x - 1 + 4x[/tex]
Remind that negative multiply negative must equal positive.
variables cannot sum/add/subtract with constants.
They must be the same terms.
[tex]4x - 2x - 1 + 7 \\ 2x + 6[/tex]
Therefore, our answer is 2x+6
A grocer can buy strawberries for $1.38 per pound.
1. How much would they pay to buy 25 lbs of strawberries?
Answer:
$34.5
Step-by-step explanation:
1.38 * 25 = 34.5
Answer:
The answer is $34.5.
Step-by-step explanation:
$1.38 x 25 = $34.5.
Building A is 879 feet tall and contains 67 stories. Building B contains 108 stories. If the two buildings have the same number of feet per floor, approximate the height of building B.
Answer:
Building B is about 1416.9 feet tall.
Step-by-step explanation:
Set up the following proportion:
[tex]\frac{879}{67}[/tex] = [tex]\frac{x}{108}[/tex]
Cross multiply.
879 x 108 = 94932
67 x x = 67x
67x = 94932
Divide by 67 on both sides.
x = 1416.9
I hope this helps!
13. Which system of inequalities has no solution?
Answer:
Option A
Step-by-step explanation:
We have y < 2x - 4 and y > 2x + 1.
=> 2x - 4 > 2x + 1
=> -4 > 1
Since this inequality is false for all real values of x, there is no solution for the system of inequalities.
(x + 2 < 5) (x - 7>-6).
Answer:
x>1
Step-by-step explanation:
What number gives a result of -4 when 11 is subtracted from the quotient of the number and 5?
Answer:
35
Step-by-step explanation:
Write an algebraic equation to find the answer. Let x equal the unknown number.
We know that 11 must be subtracted from the quotient of the number and five. A quotient is the term used to describe a result from division - so the part "the quotient of the number and five" must be [tex]\frac{x}{5}[/tex]. Also, 11 needs to be subtracted from it - so this gives us [tex]\frac{x}{5} -11[/tex]. Finally, it's given that the expression gives a result of -4. So, the algebraic equation must be [tex]\frac{x}{5} -11 = -4[/tex].
To find the answer, let's isolate x:
[tex]\frac{x}{5} -11 = -4\\\frac{x}{5} = 7\\x = 35[/tex]
Therefore, the number must be 35.
5a
2y = 30
Complete the missing value in the solution to the equation.
(8,
Answer:
y=15
(8,15)
Step-by-step explanation:
[tex]2y=30[/tex]
Divide both sides by 2 to isolate y.
[tex]\frac{2y}{2} = \frac{30}{2}\\y=15[/tex]
Because y=15, the solution is (8,15).
I hope this helps!
URGENT! PLEASE HELP!
Answer:
Here you go, I hope my hand writing is clear :D
The final answer is 4 hours longer
an angle measures 1.6° less than the measure of its complementary angle. what is the measure of each angle ?
Answer:
times that number by 1.6
Step-by-step explanation:
the volume of a cube is 216 ft3 what is the length of a side
Answer:
Step-by-step explanation:
i think its 6
Answer:
6
Step-by-step explanation:
Can someone help me I have two more other questions they are 15 points each I just posted them right now! Thanks so much
Answer:
$10 coins: 21
$20 coins: 24
Step-by-step explanation:
heyy me again
So we can create 2 equations where
x = number of $10 coins
y = number of $20 coins:
x + y = 45
10x + 20y = 690
we can move equation 1 around so that we can get a value of x
x = 45 - y
now we can substitute x into the second equation
10(45 - y) + 20y = 690
450 - 10y + 20y = 690
10y = 240
y = 24
Now plug in y back into the first equation
x = 45 - y
x = 45 - 24
x = 21
Kevin wants to buy a new pair of jeans if the jeans were originally $40 but are on sale with 25% discount
how much will Kevin have to pay for the jeans?
Answer: Kevin will have to pay $30 for the jeans.
Answer:
He will have to pay 30$
Step-by-step explanation:
The total cost of three ice cream cones with
sprinkles is $15. The price of a single ice
cream cone is $4 plus the price of sprinkles, s.
Which equation represents the situation?
Answer:
15=3(4+s); s=1
Step-by-step explanation:
Today, Thurber studies math for 15 minutes and he studies science for 75 minutes. From now on, Thurber
plans to study math for 50 minutes per day and to study science for 30 minutes per day. Will Thurber ever
have studied the same total amount of time for both math and science? Explain. Use the drop-down
menus to complete the sentence.
Answer:
Given:
Today, he studies 15 minutes math and 75 minutes science
and from now on, 50 minutes math and 30 minutes science
Step-by-step explanation:
so if he studies for 1 day total time for math and science will be
math=15+50 science=75+30
=65 minutes =105 minutes
2nd day,
math=65+50 science=105+30
=115 minutes =135 minutes
3rd day,
math=115+50 science=135+30
=165 minutes =165 minutes
So, after three days Thurber will have studied the same total amount of time for both math and science and the time is 165 minutes for both.
In this exercise we have to use interpretation skills to calculate the total time that studied the two subjects:
[tex]165 \ both \ subjects[/tex]
Today, he studies 15 minutes math and 75 minutes science and from now on, 50 minutes math and 30 minutes science. So if he studies for 1 day total time for math and science will be:
Math: [tex]15+50 = 65[/tex] Science: [tex]75+30= 105[/tex]
2nd day:
Math: [tex]65+50 = 115[/tex] Science: [tex]105+30 = 135[/tex]
3rd day:
Math: [tex]115+50= 165[/tex] Science: [tex]135+30= 165[/tex]
So, after three days Thurber will have studied the same total amount of time for both math and science and the time is 165 minutes for both.
See more about basic math at brainly.com/question/11336992
Pip was thinking of a number subtracts 13 and gets answer of 30.3 what was original number
Answer:
393.9
Step-by-step explanation:
Multiply 30.3 with 13.. Will get the answer 393.9
30.3= x / 13
X = 30.3 x 13
Solve the following system of equations: (1 point) x − 2y = 14 x + 3y = 9
A pool in the shape of a cylinder with a height of 6 m and a base radius of 7 m is drained for repair. If the rate at which the pool is being drained is 3 m3/min, find the rate at which the water level is falling when the water is 4 m deep to the nearest hundredth.
Answer:
The rate at which the water level is falling when the water is 4 meters deep to the nearest hundredth is 0.02 meters per minute.
Step-by-step explanation:
The volume of a cylinder ([tex]V[/tex]), measured in cubic meters, is represented by the following formula:
[tex]V = \pi\cdot r^{2}\cdot h[/tex] (1)
Where:
[tex]r[/tex] - Radius, measured in meters.
[tex]h[/tex] - Height, measured in meters.
Then, we differentiate (1) in time:
[tex]\dot V = 2\pi \cdot r\cdot h \cdot \dot r +\pi \cdot r^{2}\cdot \dot h[/tex] (2)
Where:
[tex]\dot V[/tex] - Rate of change of the volume, measured in cubic meters per minute.
[tex]\dot r[/tex] - Rate of change of the radius, measured in meters per minute.
[tex]\dot h[/tex] - Rate of change of the height, measured in meters per minute.
Then, we clear the rate of change of the height:
[tex]\pi \cdot r^{2}\cdot \dot h = \dot V-2\pi \cdot r\cdot h \cdot \dot r[/tex]
[tex]\dot h = \frac{\dot V - 2\pi \cdot r\cdot h\cdot \dot r}{\pi \cdot r^{2}}[/tex]
[tex]\dot h = \frac{\dot V}{\pi \cdot r^{2}}-\frac{2\cdot h\cdot \dot r}{r}[/tex]
[tex]\dot h = \frac{1}{r}\cdot \left(\frac{\dot V}{\pi \cdot r}-2\cdot h\cdot \dot r \right)[/tex] (3)
If we know that [tex]\dot V = -3\,\frac{m^{3}}{min}[/tex], [tex]r = 7\,m[/tex], [tex]h = 4\,m[/tex] and [tex]\dot r = 0\,\frac{m}{min}[/tex], then the rate of change of the height is:
[tex]\dot h = \left(\frac{1}{7\,m} \right)\cdot \left[\frac{-3\,\frac{m^{3}}{min} }{\pi\cdot (7\,m)-2\cdot (4\,m)\cdot \left(0\,\frac{m}{min} \right)} \right][/tex]
[tex]h = -0.019\,\frac{m}{min}[/tex]
The rate at which the water level is falling when the water is 4 meters deep to the nearest hundredth is 0.02 meters per minute.
What is the value of the expression?
11C7
9514 1404 393
Answer:
330
Step-by-step explanation:
nCk can be computed from the formula ...
nCk = C(n, k) = n!/(k!(n-k)!)
Here, that is
11C7 = 11!/(7!(11-7)!) = 11·10·9·8/(4·3·2·1) = 11·10·3 = 330
_____
Additional comment
Many graphing or scientific calculators have probability functions that will compute this for you.
write standard equation of a circle.
Answer:
2,-5
Step-by-step explanation:
Answer:
Step-by-step explanation:
(x-2)^2 + (y+5)^2 =5
does anyone know this you will givin 20 points
Answer:
1/2 + 1/3 = 5/6
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer that you put in the boxes is 2 and 3
1/3 + 1/2 = 3/6 + 2/6 = 5/6
You can't give 20 points once you have declared it to be a smaller amount. It's fixed.
Use the distributive property to remove the parentheses
-5(-4y-w+3)
Answer:
Step-by-step explanation:
Original Equation:
-5(-4y - w + 3)
Multiply -5 by -4y
20y
Multiply -5 by -w
5w
Multiply -5 by 3
-15
Plug these values back into the equation
20y + 5w - 15
Hope this helps :)
The distributive property to remove the parentheses -5(-4y-w+3) will be 20y + 5w - 15.
What is the equation?
A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
The equation is given;
⇒-5(-4y - w + 3)
Step 1;
Multiply -5 by -4y
⇒-5×-4y
⇒20y
Multiply -5 by -w
⇒-5 ×- w
⇒5w
Multiply -5 by 3
⇒-5 × 3
⇒-15
Replenish the equation with these values
20y + 5w - 15
Hence,the distributive property to remove the parentheses -5(-4y-w+3) will be 20y + 5w - 15.
To learn more, about equations, refer;
https://brainly.com/question/10413253
#SPJ2
Find the slope and the y-intercept of the line.
y=-2
5
Ex+6
slope:
.
08
Х
$
y-intercept: 0
Answer:
Slope = -⁵/2
y-intercept = 6
Step-by-step explanation:
The equation, [tex] y = -\frac{5}{2}x + 6 [/tex], is given in the slope-intercept form, y = mx + b
Where:
m = slope
b = y-intercept
Therefore:
Slope of the equation = -⁵/2
y-intercept if the equation = 6
What is the first step needed to solve 4 over 7 multiplied by x minus 5 equals negative 13 ? (1 point) a Subtract 13 from both sides b Divide both sides by 7 c Add 5 to both sides d Multiply both sides by 4
Answer:
c Add 5 to both sides
Step-by-step explanation:
The statement is represented by the mathematical expression;
4 over 7 multiplied by x minus 5 equals negative 13
4/7 * x - 5 = 13
a Subtract 13 from both sides
This option is wrong because there is no point making the eight side of the equation zero
b Divide both sides by 7
This option is wrong because it is only making the equation complex and not simple.
c Add 5 to both sides
Among all the options, this is correct. The reason is because it would simplify the expression in the left side of the equation.
d Multiply both sides by 4
This option is wrong because it is only making the equation complex and not simple.
If k + 10 = 2, what is k?