Step-by-step explanation:
sss similarity theorem
if C is the midpoint of EF, C has coordinate -8, F has coordinate 4, then find the coordinate of E
Answer:
AB=14x-14
Step-by-step explanation:
to find the length of AB:
AB=AM+MB
AB= 6x-4+8x-10
AB=14x-14
What is the volume of this triangular prism?
195 m^3
Step-by-step explanation:
The equation for the volume of a triangular prism is...
[tex]V=\frac{1}{2}bhl[/tex]
In this equation, b is the base, h is the height, and l is the length. We simply need to plug everything in from the problem into the equation, then solve. To also make this easier, I'm going to change the 1/2 to a 0.5.
[tex]V=0.5*6*13*5[/tex]
[tex]V=[/tex]
195 m^3
[tex](125)^{-1/3\\[/tex] plzz help fast
Answer:
0,000000512
Step-by-step explanation:
So it's 1/(125)^1/3 =1/125*125*125=1/1.953.125=0,000000512
cos^4a=1/8(3+4cos2a+cos4a)
Answer:
Below.
Step-by-step explanation:
cos2a = 2 cos^2 a - 1
cos^4a = 8cos^4 a - 8cos^2 a + 1
Right side of the identity =
1 /8(3 + 4cos2a + cos4a)
= 1/8( 3 + 4(2 cos^2 a - 1) + 8cos^4 a - 8cos^2 a+1)
= 1/8 (3 + 8 cos^2 a - 4 + 8 cos^4 a - 8cos^2 a + 1)
= 1/8 (8cos^4 a)
= cos^4 a = the left side.
I realised that I should have derived the identity for cos 4a as well , which i have done in the picture.
The given identity, cos⁴a = 1/8(3 + 4cos2a + cos4a) is proved.
How is proving identities done?To prove a given identity, say f(a) = f(b), we proceed to simplify any of the expressions among the L.H.S. f(a) and the R.H.S. f(b), to get the other term. If we get the simplified form as the other term, our identity holds and is proved.
How do we solve the given question?We know cos2A = 2cos²A - 1.
Going by the same formula, we derive the value of cos4A.
cos4A = 2cos²2A - 1
or, cos4A = 2(2cos²A - 1)² - 1, putting value of cos2A
or, cos4A = 2(4cos⁴A - 4cos²A + 1) - 1, (expanding (2cos²A - 1)² using the formula of (a-b)² = a² -2ab + b²)
or, cos4A = 8cos⁴A - 8cos²A + 2 - 1, (expanding)
or, cos4A = 8cos⁴A - 8cos²A + 1, (simplifying)
∴ cos4A = 8cos⁴A - 8cos²A + 1.
Given identity to us is, cos⁴a = 1/8(3 + 4cos2a + cos4a).
To prove the identity, we proceed with the R.H.S.:
= 1/8(3 + 4cos2a + cos4a)
We put values of cos2A and cos4A in this expression, to get
= 1/8(3 + 4(2cos²a - 1) + (8cos⁴a - 8cos²a + 1))
Expanding the equation, we get
= 1/8(3 + 8cos²a - 4 + 8cos⁴a - 8cos²a + 1)
Simplifying, we get
= 1/8(8cos⁴a) = cos⁴a = L.H.S.
Hence, the given identity is proved.
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Find angle x, giving your answer to 1 decimal place.
38
x
11 cm
8 cm
The value of angle x is 57.1 degrees.
Here we have given an angle is 38degee and the sides of the triangle are 11cm and 8 cm.
What is the formula for sin ratio?[tex]sin(x)=\frac{opposite side }{hypotenuse}[/tex]
Therefore by using the formula for the attached figure we have
[tex]sin(38^0)=\frac{y}{11}\\\\y=11sin(38^0)\\\\y=6.71[/tex]
Similarly, for the second triangle for the value of x
we have,
[tex]sinx=y/8=6.71/8=0.84\\\\x=sin^-1(0.84)=57.1^0[/tex]
Therefore we get the value of angle x is 57.1 degrees.
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Please help me with this. When dividing fractions, the ________ term becomes the reciprocal. A. Second B. First C. Neither D. Both
Answer:
The second term becomes the reciprocal and then you multiply the first term by the second term
Answer:
A. second
Step-by-step explanation:
When dividing fractions, we always take the second term and flip that. In other words, we convert the second term into its reciprocal. Remember the phrase "flip the guy, and multiply!" Essentially, the "guy" just refers to the second term.
For example, if we have 1/3 ÷ 2/5, in order to solve this, we flip the second term, which is 2/5 so that it becomes 5/2 and then multiply:
1/3 ÷ 2/5 = 1/3 × 5/2 = 5/6
The answer is thus A.
~ an aesthetics lover
HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!...............................................................please?
Answer:
Hey!
Your answer should be
Step-by-step explanation:
To find the BASE: 8 x 4 = 32cm^2
To find the angled TOP FACE: 10 x 4 = 40 cm^2
To find the TRIANGLES: (6x8)/2 x 2 = 48 cm^2
To find the REAR FACE: 6 x 4 = 24 cm^2
TOTAL: 32 + 40 + 48 + 24
SUFACE AREA: 144cm^2
Hope this helps!
Answer:
192 cm ^3
Step-by-step explanation:
find area of cross section x depth
6 times 8 is 48
depth is 4
48 x 4 is 192
Point A is located at (0, 4) and point C is located at (-3, 5). Find the x value for point B that is located the distance from point A to point C.
Answer: If point B is on the same line and the same distance from points A and C, the location is (-1.5, 4,5)
Step-by-step explanation: For point B to be the same distance from the other two points, it must be halfway between them.
for the x-value, find the number that is halfway between 0 and -3. That is -1.5
For the y-value, find the number that is halfway between 4 and 5. That is 4.5
The coordinate for point B is (-1.5, 4.5)
Write the equation of the line that passes through (2, 3) and is parallel to the line 12x – 5y = 2.
Answer:
The answer is
5y - 12x = - 9Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
12x - 5y = 2
5y = 12x - 2
Divide both sides by 5
y = 12/5x - 1/5
Comparing with the above formula
Slope / m = 12/5
Since the lines are parallel their slope are also the same.
Slope the parallel line = 12/5
Equation of the line using point (2,3) is
[tex]y - 3 = \frac{12}{5} (x - 2) [/tex]
Multiply through by 5
That's
5y - 15 = 12(x - 2)
5y - 15 = 12x - 24
We have the final answer as
5y - 12x = - 9Hope this helps you
Find the inequality represented by the graph.
Answer:
y>-2/3x+3
Step-by-step explanation:
Looking at the line, we notice that the y-intercept is 3, and the slope is -2/3, so using that information, we find the slope intercept form of the inequality, which is y(?)-2/3x+3 (the question mark is where the inequality symbol will be).
Looking at the line again, we see that it is shaded above (not below), so y is greater than the other side of the inequality.
Looking at the line AGAIN, we see the graph has a dashed line (not solid), so we are not dealing with an "or equal to" inequality.
Therefore, we should use the greater than symbol, creating the answer y>-2/3x+3.
Answer:
the answer above is correct believe me
Step-by-step explanation:
Plz Help!!! I really do not get this lesson and I really need to pass it to move onto the next I am kind of getting it, I want to make sure my answer is correct. IS it sas?
Answer:
SSS
Step-by-step explanation:
I think it would be SSS (side, side, side)... let me know if I'm wrong and I'll try again:)
Check out the diagram below. I've marked the angles and sides that are congruent. Notice how the marked sides are not between the marked angles for either triangle. So we're dealing with AAS instead of ASA. The order is important. If we wanted to use ASA, then we would have to know DE = TU, both of those sides are between the marked angles.
The table shows the number of championships won by the baseball and softball leagues of three youth baseball divisions organized by age groups. If the winner is in Baseball League, find the probability that the winning team is in either the Ages 10 - 12 division or the Ages 13 - 15 division. Answer in terms of a reduced fraction. A= p(y|b)= A0 B= p(z|b)= A1 C= p(y or z |b)= A2
Answer:
0.5 or 50%
Step-by-step explanation:
Total number of championships won = 3+2+1+7+2+1=16Total Number of winners in baseball league, n(B)= 3+2+1=6Number of Wins in the Ages 10 - 12 division, n(Y) =2Number of Wins in the Ages 13-15 division, n(Z) =1The probability that the winning team is in the Ages 10 - 12 division given that it is in the baseball league:
[tex]P(Y|B)=\dfrac{P(Y \cap B)}{P(B)} \\=\dfrac{2/16}{6/16}\\=\dfrac{2}{6}[/tex]
The probability that the winning team is in the Ages 13 - 15 division given that it is in the baseball league:
[tex]P(Z|B)=\dfrac{P(Z \cap B)}{P(B)} \\=\dfrac{1/16}{6/16}\\=\dfrac{1}{6}[/tex]
Therefore:
[tex]P(Y$ or $Z|B)=\dfrac{2}{6}+\dfrac{1}{6}\\=\dfrac{3}{6}\\\\=0.5[/tex]
A micrometer is capable of measuring the thickness of an object to units of one hundredth of a millimeter. Suppose an analog micrometer is used to measure the diameter of a ball bearing that is roughly 1.5 cm across. Select a reasonable value and error for the measurement of the bearing’s diameter. How did you choose the amount of error?
Answer:
Check Explanation
Step-by-step explanation:
The options for the question aren't available. But it is given that the micrometer screw gauge in question can measure up to a hundredth of a millimeter.
We now want to measure a ball with diameter that is roughly 1.5 cm.
1.5 cm = 15.00 mm
Since our micrometer screw gauge can measure up to a hundredth of a millimeter, the possible true diameter of the ball will range between 14.995 mm and 15.004 mm
The error in measurement can range from -0.004 mm to +0.005 mm.
The amount of error was picked based on the approximate measurements on the analogy micrometer screw gauge that the equipment will still classify as roughly 15 mm (1.5 cm)
Hope this Helps!!!
Answer:
1.715 cm ± 0.005 cm; The standard error was chosen as +(-) 1/2 the smallest unit that can be precisely measured on the device, or 0.01 cm.
Step-by-step explanation:
Which methods could you use to calculate the y-coordinate of the midpoint of a vertical line segment with endpoints at (0,0) and (0, -12)?
Answer:
add the y coordinates of the two lines and divide by 2
Step-by-step explanation:
½[0+(-12)]
½[0-12]
½[-12)
y co-ordinate of the midpoint is -6
Rai compares two cable plans from different companies. Which equation gives the correct value of m, the number of months for which Plans A and B cost the same?
Answer:
D. 75m = 50(12)+125(m-12)
Step-by-step explanation:
m = months.
Equation for which Plans A and B cost the same.
In Plan A:
No initial fees.
$75 per month
1 month = $ 75
then;
for m month =$75 m
Total cost for plan A = 75m
In Plan B:
$50 per month for first 12 month.
1 month = $50
12 months = 50(12)
Similarly,
$125 per month for each additional month after that.
additional month= (m-12)
Plan B additional month
= 125(m-12)
Total cost for plan B = 50(12)+ 125(m-12)
Since, Plans A and B cost the same.
75m = 50(12)+125(m-12)
Please help this question.
The temperature of a type of metal decreases from 100°C to T°C according to T = 100(0.9)*
after x second. Calculate
(a) the temperature of the metal after 5 seconds,
(b) the time taken, x, in seconds for the temperature of the metal to decrease from 100°C to
80°C.
Answer:
a). 59.049°C
b). 2.1179 seconds
Step-by-step explanation:
Expression representing the final temperature after decrease in temperature of the metal from 100°C to T°C is,
T = [tex]100(0.9)^{x}[/tex]
where x = duration of cooling
a). Temperature when x = 5 seconds
T = 100(0.9)⁵
= 59.049
≈ 59.049°C
b). If the temperature of the metal decreases from 100°C to 80°C
Which means for T = 80°C we have to calculate the duration of cooling 'x' seconds
80 = [tex]100(0.9)^{x}[/tex]
0.8 = [tex](0.9)^{x}[/tex]
By taking log on both the sides
log(0.8) =log[[tex](0.9)^{x}[/tex]]
-0.09691 = x[log(0.9)]
-0.09691 = -0.045757x
x = [tex]\frac{0.09691}{0.045757}[/tex]
x = 2.1179
x ≈ 2.1179 seconds
Patricia recorded the different types of pizza her friends like in the table below: Pizza Type Number of Friends Cheese 3 Mushroom 1 Pepperoni 4 Supreme 2 Which of the following plots represents the data in the table?
Answer:
The second picture
Step-by-step explanation:
It shows that the data is accurately displayed on the chart
Answer:
It's the second picture.
Step-by-step explanation:
I've done the test. I got it right.
Si 2/3 de los 84 pasajeros de un bus de Transmilenio son hombres, ¿cuántas
mujeres viajan en el bus? *
A)28
B)56
C)No hay información suficiente
D)126
Answer:
A
Step-by-step explanation:
Aquí, tenemos 2/3 como hombres.
La fracción de mujeres es, por lo tanto, 1-2 /3 = 1/3
Entonces 1/3 de 84 son mujeres Por lo tanto, el número de mujeres es 1/3 * 84 = 28
Which function has real zeros at x = 3 and x = 7?
f(x) = x2 + 4x - 21
Cf(x) = x2 - 4x - 21
Cf(x) = x2 - 10x + 21
f(x) = x2 - 10x - 21
Answer:
f(x) = x2 – 10x + 21
Step-by-step explanation:
I got it because you substract and add the last part
A cyclist travels at an average speed of 11mph for 3 hours. how far did she travel in miles
Answer:
She traveled 33 miles.
Step-by-step explanation:
11*3 = 33
Answer:
33
Step-by-step explanation:
11mph times 3 hours= 33 miles
HELP SOON PLEASE!!!!!!!
Answer:
Right triangles:
5) 0.75, 1, 1.25
6) 18, 80,82
Not right triangles:
1) 5,5,√50
2) 6.5, 3.2, 7.8
3) √2, √3, 4
4) 12, 13, 20
Step-by-step explanation:
Right triangles: (for right triangles the Pythagorean theorem is true)
6) 18² + 80² = 82²
6724=6724
5) 0.75² + 1² = 1.25²
1.5625 =1.5625
Not right triangles:
1) 5² + 5² ≠(√50)²
1250≠ 50
2) 6.5² + 3.2² ≠ 7.8²
52.49≠60.84
3) (√2)² +(√3)² ≠ 4²
5≠ 16
4) 12² + 13² ≠ 20²
313 ≠ 400
Answer:
5, √50, 5
18, 80, 82
0.75, 1, 1.25
Step-by-step explanation:
5, √50, 5 ⇒ √5²+5²= √50
18, 80, 82 ⇒ √18²+80²=82
0.75, 1, 1.25 ⇒ √0.75² + 1² = 1.25
All the others are not satisfying √a²+b²=c condition
**BRAINLIEST 20 POINTS****
Given right triangle XYZ, what is the value of sin(Y)? (Hint: Special Right)
1/2
SqRt3/3
SqRt3/2
(2SqRt3)/3
Answer:
1/2
Step-by-step explanation:
Cos 60 = [tex]\frac{adjacent}{hypotenuse}[/tex]
1/2 = [tex]\frac{XZ}{4}[/tex]
Multiplying both sides by 4
=> XZ = 2
Sin Y = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin Y = [tex]\frac{2}{4}[/tex]
Sin Y = 1/2
PLEASE HELPPP ASAP. I WILL GIVE BRAINLIEST!!!
Answer:
Factors: 5x, 3x²y⁵ Not Factor: 10x⁴y³
Step-by-step explanation:
5x is a factor because 15x²y⁶= 5x•3xy⁶
3x²y⁵ is a factor because 15x²y⁶ = 3x²y⁵•5y
10x⁴y³ isn't a factor because 15:10=1.5 isn't integer
help !!
Evaluate 8 - 50g + 2h when g = 10 and h = 5
Answer:
The evaluated answer to this equation is -482
Step-by-step explanation:
h = 5
g = 10
Plug in your numbers for the equation.
8 - 50(10) + 2(5)
Multiply -50 by 10 and multiply 2 by 5.
8 - 500 + 10
Subtract 8 by -500.
-492 + 10
Add 10 to -492.
-482
Solve for x 5 x − 9 = 3 x + 3
5x-9 = 3x+3
2x-9 = 3
2x = 12
x= 6
plz mark branliest, hopoe this helps :)
Polygon A B C D E F has 6 sides. Angle A is 170 degrees, angle C is 133 degrees, angle D is 102 degrees, angle E is 117 degrees, and angle F is 90 degrees. What is the measure of ∠B? 98° 108° 118° 128 °
Answer:
The sum of interior angles will be 180 * (6 - 2) = 720°. ∠B = 720 - 170 - 133 - 102 - 117 - 90 = 108°.
The measure of ∠B is 108.
What is a Polygon?a plane figure with at least three straight sides and angles, and typically five or more.
Determining:The sum of interior angles will be 180 * (6 - 2) = 720°. ∠B = 720 - 170 - 133 - 102 - 117 - 90 = 108°.
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PLZ ASAP ITS FOR A TIMED TEST THAT DETERMINES EVERYTHING I BEGGGG..\There are seven roads that lead to the top of a hill. a How many different ways are there to reach the top and then go back down? Answer:
Answer:
42
Step-by-step explanation:
For this it's very simple
This is a permutations question so -->
7 roads that go to the top and you want to find how many ways you can go back
7x7 since the ways you go down it is unrestricted BUT THIS IS NOt YOUR FINAL ANSWER
Since you cannot repeat the roads after one whole run, your equation is actually 7x6 giving you 42
Hope this helps
Answer:
The correct answer is 49
Choose the best estimate for the division problem below.
8.3 /0.7
A. 12
B. 10
c. 9
Answer:
12
Step-by-step explanation:
8.3 / .7
Multiply each by 10 to get rid of the decimal
83/7
We know that 84/7 =12 so this is close to 12
A standard fair dice is rolled twice. What is the probability of getting an odd number on the first roll and any number except 4 on the other?
Answer:
Let,O and P be the events of getting odd number and any other number except 4 respectively.
n(S)=6
O=(1,3,5) so, n(O)=3
P=(1,2,3,5,6) so, n(P)=5
So,probability of getting an odd number and any other number except 4 will be
n(O)/n(S) × n(P)/n(S)
=3/6 × 5/6
=5/12
May be it's the answer I guess. Hope you're clear with it:-)
The tax rate as a percent, r, charge on an item can be determined using the formula c/p - 1 = r, where c is the disk cost of the time and p is the price of the item before tax. Louise rewrites the equation to solve for the final cost of the final item C = p(1+r). What is the final cost of a $40 item after an 8% tax is applied?
Answer:
The final cost is $43.2
Step-by-step explanation:
We have the following equation:
[tex]C=p(1+r)[/tex]
Where C is the final cost, p is the price before tax and r is the tax rate.
So, to calculated the final cost for a $40 item after 8% tax, we need to replace p by 40 and r by 0.08 and calculate the value of C as:
[tex]C=40*(1+0.08)=43.2[/tex]
Therefore, the final cost is $43.2
Answer: $43.20
Step-by-step explanation: The simplest way to do it (my way) is i first used (1 + r), which is (1 + 8%), that gave me 1.08, then I did the total amount, $40x1.08, which equals $43.20. This may not be the right way to do it, but it is the simplest.
Hope this helped :)