-. Six square-based pyramids fit exactly onto the six faces of a
cube of side 4 cm. If the volume of the object formed is
256 cm', find the height of each of the pyramids.
Answer:
60
Step-by-step explanation:
Help with these 3 I will give u a thanks
Answer:
3.6/5, 4. 9, 5. 11/2
Step-by-step explanation:
3. 2/5/6
= 2× 6/5
= 12/5
4. 7/9/7
= 7× 7/9
= 9
5. 8/11/4
= 8×4/11
= 11/2
hope you understand this answer
sorry if the answer is wrong
Kim drove 627 miles in 9.5 hours. What is
her average speed in miles per hour?
5,956 miles per hour
B 660 miles per hour
66 miles per hour
60 miles per hour
Help please
Answer:
Step-by-step explanation:
66 mile per hour .
Hard question please help. I had to repost because last time I wanted to give more points but I forgot to.
If [tex]\frac{\sin^2 3A}{\sin^2 A} - \frac{\cos^2 3A}{\cos^2 A} = 2[/tex] find what [tex]\cos2A[/tex] is.
Best Answer gets the reaming 15!
Have Fun!
Use the angle sum identities to expand [tex]\sin(3A)[/tex] and [tex]\cos(3A)[/tex]:
[tex]\sin(3A)=\sin(A+2A)=\sin A\cos(2A)+\cos A\sin(2A)[/tex]
[tex]\cos(3A)=\cos(A+2A)=\cos A\cos(2A)-\sin A\sin(2A)[/tex]
Use the double angle identity to expand [tex]\sin(2A)[/tex]:
[tex]\sin(2A)=2\sin A\cos A[/tex]
So we have
[tex]\sin(3A)=\sin A\cos(2A)+2\cos^2A\sin A[/tex]
[tex]\cos(3A)=\cos A\cos(2A)-2\sin^2A\cos A[/tex]
Then divide the first expression by [tex]\sin A[/tex] and the second by [tex]\cos A[/tex]:
[tex]\dfrac{\sin(3A)}{\sin A}=\cos(2A)+2\cos^2A[/tex]
[tex]\dfrac{\cos(3A)}{\cos A}=\cos(2A)-2\sin^2A[/tex]
Squaring these gives
[tex]\dfrac{\sin^2(3A)}{\sin^2A}=(\cos(2A)+2\cos^2A)^2=\cos^2(2A)+4\cos(2A)\cos^2A+4\cos^4A[/tex]
[tex]\dfrac{\cos^2(3A)}{\cos^2A}=(\cos(2A)-2\sin^2A)^2=\cos^2(2A)-4\cos(2A)\sin^2A+4\sin^4A[/tex]
Subtract the second expression from the first to get the original equation. The [tex]\cos^2(2A)[/tex] terms cancel, leaving us with
[tex]4\cos(2A)\cos^2A+4\cos^4A+4\cos(2A)\sin^2A-4\sin^4A=2[/tex]
Now, notice that
[tex]4\cos(2A)\cos^2A+4\cos(2A)\sin^2A=4\cos(2A)(\cos^2A+\sin^2A)=4\cos(2A)[/tex]
and
[tex]4\cos^4A-4\sin^4A=4(\cos^2A-\sin^2A)(\cos^2A+\sin^2A)=4\cos(2A)[/tex]
because [tex]\cos^2A+\sin^2A=1[/tex] and [tex]\cos^2A-\sin^2A=\cos(2A)[/tex].
So we're left with
[tex]4\cos(2A)+4\cos(2A)=8\cos(2A)=2\implies\boxed{\cos(2A)=\dfrac14}[/tex]
There are 10 fifth-grade students attending a class field trip to the city’s art museum. If each admission ticket costs $6, what is the total cost of admission for the 10 students
Answer:
$60
Step-by-step explanation:
10x6=60. 6+6+6+6+6+6+6+6+6+6= 60
13. One-fourth of a number is the same as the square of -3
(01.01 MC)Which number line shows the solution to 6 + (−6)? A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 12 is shown. A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to 6 is shown. Above this, another arrow pointing from 6 to 0 is shown. A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to positive 6 is shown. A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to 6 is shown. Above this, another arrow pointing from 6 to 12 is shown. PLS HELP ASAP !!!!!! WILL GIVE BRAINLIEST!!!!
Answer:
the first one
Step-by-step explanation: it worked for me i passed it
Find the value of X. pls help me
Answer:
x=7
Step-by-step explanation:
As seen from the higher two numbers, there is a distinct ratio between the shorter side and the longer side. To find the ratio we simply get the given two without the x and we get 8:12 which simplifies to 2:3 or 1: 1.5
This means in order to find 3x-6, we need to multiply 10 by 1.5 which means:
3x-6=15
3x=21
x=7
Hope this helped!
Which set of numbers is correctly ordered from least to greatest? [tex]A.) \frac{24\pi }{5\ } ,\frac{63}{4} ,15.758, 956\sqrt{e} \\\\B.)\frac{24\pi }{5\ } ,15.758, \frac{63}{4},956\sqrt{e} \\\\\\C.)956\sqrt{e} \,,15.758,\frac{63}{4} , \frac{24\pi }{5\ } \\ D.)956\sqrt{e} ,\frac{63}{4},15.758, \frac{24\pi }{5\ } \\[/tex]
A.) [tex]\frac{24\pi }{5} < \frac{63}{4} < 15.758 < 956\sqrt{e}[/tex] is the set of numbers correctly ordered from least to greatest (ascending order).
What is ascending order?
Ascending order is a method of arranging numbers from smallest value to largest value. The order goes from left to right. Ascending order is also sometimes named as increasing order.
[tex]\frac{24\pi }{5} = 15.0796\\\\\frac{63}{4} = 15.75\\\\956\sqrt{e} = 1576.177[/tex]
15.079 < 15.75 < 15.758 < 1576.177
[tex]\frac{24\pi }{5} < \frac{63}{4} < 15.758 < 956\sqrt{e}[/tex]
Learn more about ascending order here
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Solve: 3x + 5 - 13x = 25
Answer: x = -2
Step-by-step explanation:
3x+5 -13x =25 combine like terms on the left side
-10x + 5 = 25 Subtract 5 from both sides
-5 -5
-10x = 20 Divide both sides -10
x = -2
Answer:
[tex]x = -2[/tex]
Step-by-step explanation:
If we have the equation [tex]3x+5-13x=25[/tex], we can isolate x on one side and find it's value.
Let's combine like terms.
[tex]-10x + 5 = 25[/tex]
Subtract 5 from both sides:
[tex]-10x + 5 - 5 = 25 - 5\\\\-10x = 20[/tex]
Divide both sides by -10:
[tex]-10x\div-10 = 20\div-10\\\\x = -2[/tex]
So [tex]x = -2[/tex].
Hope this helped!
Enter the terms and the coefficients of the expression. −80 + 7p − 6z
Answer:
Step-by-step explanation:
Terms Coefficient
7p 7
-6z -6
-80 constant term
2x2 + 11x + 5
Factor the trinomial
Answer:
9+11x
Step-by-step explanation:
Two of the angles in a triangle measure 52 and 22 what must be the measure of the third angle
what is -13.5 = 2.7x
X= -5
-13.5 ÷ 2.7= -5
-5=x
Answer:
x=5
Step-by-step explanation:
I need help with my math to day.♀️
Answer:
8x + 1 + 6x + 5 = 90
14x + 6 = 90
14x = 84
x = 6
<DCB is 6x+5
6(6) + 5
36 + 5
41
Answer:
∠ DBC = 41°
Step-by-step explanation:
∠ DBC + ∠ DBA = 90° , substitute values
6x + 5 + 8x + 1 = 90, that is
14x + 6 = 90 ( subtract 6 from both sides )
14x = 84 ( divide both sides by 14 )
x = 6
Thus
∠ DBC = 6x + 5 = 6(6) + 5 = 36 + 5 = 41°
m = 4 and x-intercept of -2 in slope- intercept form.
Answer:
y = 4x + 8
Step-by-step explanation:
Slope-intercept form:
y = mx + bm = 4
y = 4x + bx-intercept = -2, it means x = -2, y = 0
(-2, 0)Using this point we get the value of b
0 = 4*(-2) + b ⇒ b = 8The form now is:
y = 4x + 80.2(x + 1) + 0.5x = –0.3(x – 4)
i need help i will give the brainleness thing to whoever can answer
Answer:
A=30cm, B=39cm
Step-by-step explanation:
They are an enlargement. Therefore, the sides are larger by the same proportion, otherwise, it wouldn't be an enlargement. Therefore, the bottom side of the big one is 3 times that of the small one. Therefore, the other sides are also 3 times, making A = 30cm and B = 39cm.
Answer:
A
12cm to 36cm is mulitiply by 3, so that means that you mutiply each of the other sides by 3 to get your answer
If skin cancers is related to UV light that people with high exposed to UV light we have higher chance of getting skin cancer what is the In dependable Independent variable
Answer:
Exposure to the UV light is the dependable independent variable.
Step-by-step explanation:
An independent variable does not depend on another variable, but can rather have another variable depending on it. In this case, the chances of getting skin cancer depends on if a person is exposed to a high dose of UV light. The chances of getting skin cancer is the dependent variable, while the exposure to the UV light is the independent dependable variable.
Answer:
Dependable variable
Step-by-step explanation:
Solve for x
x to the power of 2 = 49
The area of a square is 8 square meters. Which of these
closest to the length of one side of the square?
F 2 meters
G 2.8 meters
4 meters
H 3.5 meters
Answer:
G.
Step-by-step explanation:
Length = Square root of Square area
= √8 (-√8 is rejected as length is positive)
We know that √4 < √8 < √9 because 4 < 8 < 9.
=> 2 < √8 < 3.
The only answer that is in this range is G.
2/4+5/4= 6/12+14/12=
Answer:
7/4=5/3 is the answer
please i need help quick
please help meeee!!!!!! complete the equation below. (4x)^-2(4x)^3(4x)^9 =(4x)______.
Answer for the blank is: 10
The exponents are -2, 3 and 9. Note how the bases are all the same at 4x. When we multiply exponential expressions like this, we add the exponents. So we'll get -2+3+9 = 1+9 = 10 as the final exponent over the base 4x
In short,
[tex](4x)^{-2}*(4x)^3*(4x)^9 =(4x)^{-2+3+9} = (4x)^{10}[/tex]
please help meeee!!!!!! complete the equation below. (4x)^-2(4x)^3(4x)^9 =(4x)=10
-1/2 (7z+4)+1/5(5z-15). Solve equation.
Answer:
-2.5(z+2)
Step-by-step explanation:
-9=3x+6 what is the value of x?
Answer:
-5
Step-by-step explanation:
3x + 6 = -9
3x = -15
x = -5
Answer:
[tex] \boxed{ \bold { \huge{ \boxed{ \sf{x = - 5}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 9 = 3x + 6}[/tex]
Swap the sides of the equation
[tex] \longrightarrow{ \sf{3x + 6 = - 9}}[/tex]
Move 6 to right hand side and change its sign
[tex] \longrightarrow{ \sf{3x = - 9 - 6}}[/tex]
The negative integers are always added but possess the negative ( - ) sign
[tex] \longrightarrow{ \sf{3x = - 15}}[/tex]
Divide both sides by 3
[tex] \longrightarrow{ \sf{ \frac{3x}{3} = \frac{ - 15}{3} }}[/tex]
Calculate
[tex] \longrightarrow{ \sf{x = - 5}}[/tex]
Hope I helped!
Best regards! :D
Solve the equation.
-0.3x = - 1.5
Thomas collects dimes and quarters in his change jar. If he has 7 more dimes than quarters, and the total amount of money in the jar is $27.30, find the number of each type of coin in the jar.
Answer:
76 quarters and 83 dimes
Step-by-step explanation:
From the information given, you can write the following equations considering that a quarter represents $0.25 and a dime $0.10:
y=x+7 (1)
0.25x+0.10y=27.30 (2)
x is the number of quarters
y is the number of dimes
Now, you can replace (1) in (2):
0.25x+0.10(x+7)=27.30
0.25x+0.10x+0.7=27.30
0.35x=27.30-0.7
0.35x=26.6
x=26.6/0.35
x=76
Then, you can replace the value of x in (1) to find the value of y:
y=76+7
y=83
According to this, the answer is that there are 76 quarters and 83 dimes in the jar.
There are 76 quarters and 83 dimes in the jar.
GivenThomas collects dimes and quarters in his change jar.
If he has 7 more dimes than quarters, and the total amount of money in the jar is $27.30.
Let, x be the number of the dimes.
And y be the number of quarters.
If he has 7 more dimes than quarters,
[tex]\rm y=x+7[/tex]
The total amount of money in the jar is $27.30.
[tex]\rm 0.25x+0.10y=27.30[/tex]
Substitute the value of y in equation 2
[tex]\rm 0.25x+0.10y=27.30\\\\ \rm 0.25x+0.10(x+7) =27.30\\\\ 0.25x + 0.10x + 0.7= 27.30\\\\0.35x=27.30-0.7\\\\0.35x=26.6\\\\x = \dfrac{26.6}{0.35}\\\\\rm x =76[/tex]
Substitute the value of x in equation 1
[tex]\rm y = x+7\\\\y =76+7\\\\y=83[/tex]
Hence, there are 76 quarters and 83 dimes in the jar.
To know more about Equation click the link given below.
https://brainly.com/question/17555246
Please assist me with this
Answer:
The answer is option AStep-by-step explanation:
To find the value of x when y = 24, we must first find the relationship between them
[tex]y \: \: \alpha \: \: \frac{k}{ \sqrt{x} } [/tex]where k is the constant of proportionality
when
x = 16
y = 2
Substitute the values into the above formula and solve for k
That's
[tex]2 = \frac{k}{ \sqrt{16} } \\ 2 = \frac{k}{4} [/tex]Cross multiply we have the answer as
k = 8
So the formula for the variation is
[tex]y = \frac{8}{ \sqrt{x} } [/tex]Now when y = 24
We have
[tex]24 = \frac{8}{ \sqrt{x} } \\ 24 \sqrt{x} = 8 \\ \sqrt{x} = \frac{8}{24} \\ \sqrt{x} = \frac{1}{3} [/tex]Square both sides
[tex]( { \sqrt{x} })^{2} = ( { \frac{1}{3} })^{2} [/tex]We have the final answer as
[tex]x = \frac{1}{9} [/tex]Hope this helps you
Whoever answers this question will be marked the brainiest
====================================================
Explanation:
Angle PQT = 35 degrees is given. This inscribed angle subtends or cuts off minor arc PT. This is the shortest distance along the circle from P to T. Any other inscribed angle that cuts off this same arc will also be the same measure. Note how angle PRT is such an inscribed angle, so,
angle PRT = 35 degrees
which we'll use later.
----------------
Focus on triangle ROS. Interior angle O is 180-82 = 98 degrees due to it being supplementary to the 82 degree angle shown.
Triangle ROS is isosceles with OR = OS being the two equal radii. The opposite base angles R and S are congruent angles. Call them x for now
(angle O) + (angle R) + (angle S) = 180
98+x+x = 180
2x+98 = 180
2x = 180-98
2x = 82
x = 82/2
x = 41
For triangle ROS, interior angle R is 41 degrees. Put another way,
angle ORS = 41 degrees
we'll use it below along with angle PRT
------------------------
angle PRS = (angle PRT) + (angle ORS)
angle PRS = (35) + (41)
angle PRS = 76 degrees