Answer:
Step-by-step explanation:
Set this up as a proportion of M:P
[tex]\frac{M}{P}:\frac{2}{5}=\frac{200}{x}[/tex] and cross multiply to solve for x:
2x = 1000 so
x = 500. Peter got $500
Find the exact value of sin2Θ if tanΘ=[tex]\frac{-2\sqrt{5} }{5}[/tex] and 90 < Θ < 180.
Answer:
[tex]sin 2 \theta = \frac{4 \sqrt5}{9}[/tex]
Step-by-step explanation:
Identities used :
[tex]1. sin^2 \theta = 1 - cos^2\theta\\\\2. tan^2 \theta + 1 = sec^2 \theta\\\\3.cos \theta = \frac{1}{sec \theta} \\\\4. sin 2 \theta = 2 sin\theta cos\theta[/tex]
[tex]Given \ tan \theta = -\frac{2 \sqrt5}{5}\\[/tex]
[tex]we \ know \ tan ^2 \theta + 1 = sec^2\theta[/tex]
[tex](-\frac{2 \sqrt 5}{5})^2 + 1 = sec^2 \theta\\\\\frac{4 \times 5}{25 } + 1 = sec^2 \theta \\\\\frac{20 + 25}{ 25} = sec^2 \theta \\\\\frac{45}{25} = sec^2 \theta \\\\sec \theta = \sqrt{ \frac{45}{25}}\\\\sec \theta = \sqrt{ \frac{9 \times 5}{5 \times 5}} \\\\sec \theta = \frac{3 \sqrt {5}}{5}\\\\[/tex]
[tex]We \ know \ cos \theta = \frac{1}{ sec \theta}[/tex]
[tex]So , \cos \theta = \frac{5}{3 \sqrt5}[/tex]
[tex]Next \ sin^2 \theta = 1 - cos^2 \theta[/tex]
[tex]= 1 - (\frac{5}{3 \sqrt5})^2\\\\=1 - \frac{25}{9 \times 5}\\\\=1 - \frac{25}{45}\\\\=\frac{45 - 25}{45}\\\\=\frac{20}{45}\\\\=\frac{4}{9}[/tex]
[tex]sin \theta = \sqrt{ \frac{4}{9}} = \frac{2}{3}[/tex]
[tex]Find \ sin 2 \theta[/tex]
[tex]sin 2 \theta = 2 (sin \theta \times cos \theta)[/tex]
[tex]= 2 \times \frac{2}{3} \times \frac{5}{3\sqrt5}\\\\= \frac{4 \times \sqrt5 \times \sqrt5}{9 \times \sqrt 5}\\\\=\frac{4 \sqrt5}{9}[/tex]
a + b3 - a ; a = 3, b = 2
Answer:
8
Step-by-step explanation:
a + b^3 - a
Simplify
b^3
Let b=2
2^3
8
Answer:
11
Step-by-step explanation:
If a = 3, and b = 2, then;
=> a + b³
=> 3 + 2³
=> 3 + 8
=> 11
Hope this helps!
Oliver is driving to a concert and needs to pay for parking. There is an automatic fee of $11 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $3 for every hour he had his car in the lot. How much total money would Oliver have to pay for parking if he left his car in the lot for 3 hours? How much would Oliver have to pay if he left his car in the lot for tt hours?
Answer:
A. 20
B. 11 + 3tt
Step-by-step explanation:
A. 11 + 3(3) = 20
B. 11 + 3(tt)
whats the answer to this
Answer:
its the 2nd one
hope that helps<3
Answer:
jhkkkhj
Step-by-step explanation:
jkjkjkjkj
Giving bru list again
Answer:
8
The missing digit is going to be eight, because if we are rounding to the nearest tenth the 3 won't change anything.
Step-by-step explanation:
Have a nice day! :-)
Answer:
8
Step-by-step explanation:
because the 8 is on the tenths place and with three in the hundredths place I can't round up
Use the drop-down menus to correctly relate each pair of numbers
manee help meh son
Answer:
Sorry for the late response, I had to have lunch.
1. >
2. =
3. <
4. >
Step-by-step explanation:
Have a great summer :)
i would like help in this question
Answer:
T = 3.5m
T is trash in pounds
m is members of family
Step-by-step explanation:
Can someone help me? It's urgent and thank you!
Answer:
35
Step-by-step explanation:
To find this, we are going to use the combination formula as follows;
nCr = n!/(n-r)!r!
In this case, n = 7 and r = 3
Substituting these values;
7C3 = 7!/(7-3)! 3! = 7!/4!3! = 35
In a right triangle, sin(40 - 2) = cos(32)'. What is the value of x?
O 10
O 15
O 20
O 25
Answer:
x = 25
Step-by-step explanation:
Correct question
In a right triangle Sin (40-x)=cos(3x) what is the value of x
Since Sin theta = Cos(90-theta)
Sin (40-x) = Sin(90-3x)
40 - x = 90 - 3x
-x+3x = 90 - 40
2x = 50
x = 25
Hence the value of x is 25
Point of intersection Question:
Mike has $9.85 in dimes and quarters. If there are 58 coins altogether,
how many dimes and how many quarters does Mike have? Use the point of intersection to find the answer. Explain how you used a formula to calculate the # of quarters and dimes
Answers:
He has 27 quarters and 31 dimes
=========================================================
Work Shown:
d = number of dimes
q = number of quarters
d+q = 58 since there are 58 coins of only these two types
d = 58-q
10d+25q = 985 .... note that 985 cents is $9.85
10(58-q)+25q = 985 .... replace d with 58-q
580-10q+25q = 985
15q+580 = 985
15q = 985-580
15q = 405
q = 405/15
q = 27 ..... Mike has 27 quarters
d = 58-q
d = 58-27
d = 31 .... Mike also has 31 dimes
-----------
As a way to check:
d+q = 31+27 = 58 so that works out
and
10d+25q = 10*31+25*27 = 310+675 = 985
so that works out as well. The answer is confirmed.
A store sells notebooks for $3 each and does not charge sales tax. If x represents the number of notebooks Adele buys and y represents the total cost of the notebooks she buys, which best describes the values of x and y?
A. The value of x can be any real number, and y will be a real number.
B. The value of x can be any real number greater than or equal to 0, and y will be a real number greater than or equal to 0.
C. The value of x can be any integer, and y will be an integer.
D. The value of x can be any integer greater than or equal to 0, and y will be an integer greater than or equal to 0.
Answer:
Step-by-step explanation:
A?
The point in the middle of the coordinate plane is called the
Answer:
Origin
Step-by-step explanation:
The point in the middle of the coordinate plane is called the origin, this point is ploted as (0,0). The origin seprates all four quadrants in a coordinate plane.
Hope this helps:
Nathan
answer all the questions, just the answers, it's pythagorean theorem, plssss helpppp
Answer:
1. option c
2. option b
3. option b
Step-by-step explanation:
1 . option C
Square of longer side = sum of squares of other side
a)
5, 6 , 11
[tex]121 = 25 + 36\\does\ not \ satisfy[/tex]
b)
9, 12, 16
[tex]256 = 144 + 81\\Does\ not \ satisfy[/tex]
c)
7, 24, 25
[tex]625 = 576 + 49\\Does\ satisfy[/tex]
d)
12, 20, 25
[tex]625 = 400 + 144\\does \ not \ satisfy[/tex]
2. Option B
Square of longer side = sum of squares of other side
15 ² = 8 ² + r²
225 = 64 + r²
161 = r²
r = 12.688
r = 13ft
3 . Option b
To find length of AB, Use distance formula
[tex]AB = \sqrt{(x_2- x_1)^2 + (y_2 - y_1)^2}[/tex]
[tex]= \sqrt{(14-3)^2 + (6-1)^2}\\\\=\sqrt{11^2 + 5^2}\\\\=\sqrt{121 + 25}\\\\= \sqrt{146} \\= 12 \ ft[/tex]
Do you have a step my step answer?
Answer:
In picture
Step-by-step explanation:
Hope I answered it correctly.
Please give me brainliest if it help you, thanks!
A
B
С
D
If mZACD = 70°, then mZBCD = [? ]°
Answer:
35 is correct
Step-by-step explanation:
hope this helps.
Answer:
35°
Step-by-step explanation:
Angle ACD is 70°. The little tick marks on the angle mean both sides of the split are the same amount. This means if you divide the angle in half, you will find out what both of them are equal to.
Three right triangles are drawn in the coordinate plane,
and the coordinates of their vertices are labeled.
For each right triangle, label the lengths of the sides.
Answer:
Triangle A:
- smaller leg = 3
- longer leg = 10
- hypotenuse = 10.4
Traingle B:
- smaller leg = 4
- longer leg = 13
- hypotenuse = 13.6
Triangle C:
- smaller leg = 5
- longer leg = 7
- hypotenuse = 8.6
Step-by-step explanation:
Let's find the distance of the legs for the 3 right triangles.
Triangle A
The smaller leg (SL) is from (2,5) to (2,8), so the length is given by the distance in the y-axis:
[tex] SL_{A} = 8 - 5 = 3 [/tex]
Hence, the lenght of the smaller leg is 3.
The longer leg (LL) is from (-8, 8) to (2, 8), so the length is given by the distance in the x-axis:
[tex] LL_{A} = 2 - (-8) = 10 [/tex]
Then, the length of the longer leg is 10.
Now, we can find the hypotenuse (H) by using Pitagoras:
[tex] H_{A} = \sqrt{SL_{A}^{2} + LL_{A}^{2}} = \sqrt{3^{2} + 10^{2}} = 10.4 [/tex]
Triangle B
The SL is from (3, -9) to (7, -9)
The length of the SL is:
[tex] SL_{B} = 7 - 3 = 4 [/tex]
The LL is from (7, -9) to (7, 4)
The length of the LL is:
[tex] LL_{B} = 4 - (-9) = 13 [/tex]
The hypotenuse is:
[tex] H_{B} = \sqrt{4^{2} + 13^{2}} = 13.6 [/tex]
Triangle C
The SL is from (-10, -6) to (-10, -1)
The length of the SL is:
[tex] SL_{C} = -1 - (-6) = 5 [/tex]
The LL is from (-10, -6) to (-3, -6)
The length of the LL is:
[tex] LL_{C} = -3 - (-10) = 7 [/tex]
The hypotenuse is:
[tex] H_{C} = \sqrt{5^{2} + 7^{2}} = 8.6 [/tex]
I hope it helps you!
Can someone please help me out with this question
Answer:
C.
Step-by-step explanation:
A paper company needs to ship paper to a large printing business. The paper will be
shipped in small boxes and large boxes. Each small box of paper weighs 50 pounds
and each large box of paper weighs 80 pounds. A total of 19 boxes of paper were
shipped weighing 1280 pounds altogether. Determine the number of small boxes
shipped and the number of large boxes shipped.
Answer:
16 boxes large
Step-by-step explanation:
if the weigth is 1280 wilhich means its 1280÷80 =16
Can I get help on this bc if I don’t do it now my math teacher will call my parents
Answer:
39.28cm^2
Step-by-step explanation:
Simple work out the area of a circle and halve it.
3.142xr^2
3.142x5^2 = 78.55 cm^2 (Full circle area)
Now we must halve that answer to get the semicircle.
78.55/2 = 39.275 cm^2
However, we need it to 2dp. Therefore the answer is 39.28cm^2
2160 as a product of its prime factors using indices
Answer:
2⁴ × 3³ × 5
Step-by-step explanation:
By prime factorisation,
→ 2160 = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5
→ 2160 = 2⁴ × 3³ × 5
Please answer this question-
first, you arrange all the numbers in ascending sequence, you should get:
62, 64, 65, 65, 67, 68, 68, 69, 69, 69, 70, 70, 70, 71, 71, 71, 73, 72, 72, 73
yes and now you can see there are 20 values all arranged in ascending order. from here, you find the 2 middle values since it is an even number.
it should be value 10 and 11 which is number 69 and 70
now you find the average which is:
[tex]\frac{69+70}{2}[/tex] = 69.5
so your center value is 69.5.
Someone pleaseee help!!!
8th grade
Answer:
[tex] \frac{1}{1000} [/tex]Step-by-step explanation:
[tex] {10}^{ - 3} [/tex]
[tex] \frac{1}{ {10}^{3} } [/tex][tex] \frac{1}{1000} [/tex]Hope it is helpful...decompose 17x^3+7x^2-17x-7 divided by (x-1)^2(x+1)^2 into partial fraction
..........................................................................................................................................................................................................................................................................................................................................................................................................................................................
Evaluate 5-|-6|
1
11
-1
Step-by-step explanation:
(-) + (-) = (+)
=........ +1
Answer:
-1
Step-by-step explanation:
Find the IQR: (find the median, then find the median of the first group and then the next group. Now subtract big median minus the small median.) 20, 17, 16, 3, 7, 45
Answer:
13
Step-by-step explanation:
The IQR = Interquartile Range is the difference between the first and third quartile
Rearranged data set:
3, 7, 16, 17, 20, 45
Step 1
We find the first quartile = Q1
= 1/4(n + 1)th number
n = 6
= 1/4(6 + 1)th
= 1/4(7)th
= 1 3/4th number
This = 7
Step 2
We find the third quartile = Q3
= 3/4(n + 1)th number
n = 6
= 3/4(6 + 1)th
= 3/4(7)th
= 21/4th number
= 5 1/4 th number
This = 20
Step 3
IQR = Q3 - Q1
= 20 - 7
= 13
Which values are solutions to the inequality below?
Check all that apply.
x²<=64
O A. 9
O B. 5
O C. -3
O D. -8
O E. -14
O F. 8
Answer:
B and C
Step-by-step explanation:
B is correct because 5² is 25, which is less than 64
C is correct because (-3)² is 9, which is less than 64
Answer:
b c d f
Step-by-step explanation:
-8 ≤ x ≤ 8
Enter the value of x so that the expression (1.8a−5.7)+(xa+3.2) is equivalent to −1.6a+2.5.
Answer:
That would be 11.4
Step-by-step explanation:
i've done this before
6. Tumigil si Jasmin ng 150 araw sa Taguig City dahil naabutan siya ng travel ban. Ilang buwan siya nanatili roon? *
Convert 23cm2 into mm2
Answer:
2300 mm^2
Step-by-step explanation:
Help me please i will give brainliest top one says find the mean
Answer:
1. 6
2. 3, 10
3. 7
4. 95%
5. 7.5
6. (I assume the chart is the same as the one above) 8
7. 8
8. 4
Step-by-step explanation:
Have a great summer :)
Answer:
Step-by-step explanation
to find median u ned to arrange the data from ascending to descending order
Data=3,3,4,5,6,7,9,10,10
Median=N+1/2 (N means no of data)
=9+1/2
=10/2
=5 th term
=6
Mode is 3 and 10 because they repeats maximum number of time.
range=largest value-smallest value
=10-3
=7
average =sum of data/no of data
=100+91+96+93/4
=380/4
=95
therefore average is 95.
