In ΔPQR, r = 870 cm, p = 410 cm and ∠Q=142°. Find ∠R, to the nearest degree.
Answer: 26
Step-by-step explanation:
A pen stand costs ₹120. How many pen stand can be bought for ₹1440
1440 divided by 120 = 12 pen stands
hope it helps:))
A model car has a length of 7.25 inches. The actual car is 14.5 feet long. What is the scale of the model car?
Answer:
1:24
Step-by-step explanation:
Convert inches to feet, 7.25 inches is 0.604 feet.
0.604:14.5 needs to become 1:something, so set up 0.604/14.5 = 1/x
Solve for x now by dividing 14.5 by 0.604. You get 24 for x, so the answer is 1:24 scale!
Which of the following conjectures is true for all cases about the lines in the image shown?
2i^20 + i^42
i^101 - i^2
Show Work
I assume you're talking about a fraction,
(2i ²⁰ + i ⁴²) / (i ¹⁰¹ - i ²)
Remember that i ² = -1; from this it follows that
i ³ = i ² × i = -i
i ⁴ = i ³ × i = (-i ) × i = -i ² = -(-1) = 1
i ⁵ = i ⁴ × i = i
i ⁶ = i ⁵ × i = i ² = -1
and so on. In particular, raising i to some integer multiple of 4 reduces to 1.
Using the above pattern, we find
i ²⁰ = 1
i ⁴² = i ⁴⁰ × i ² = 1 × (-1) = -1
i ¹⁰¹ = i ¹⁰⁰ × i = 1 × i = i
So, we have
(2i ²⁰ + i ⁴²) / (i ¹⁰¹ - i ²) = (2 - 1) / (i - (-1)) = 1 / (i + 1)
We can stop here, but usually it's more useful to have complex numbers written in standard a + bi form. To get this result, multiply the numerator and denominator by the complex conjugate of i + 1:
(2i ²⁰ + i ⁴²) / (i ¹⁰¹ - i ²) = 1 / (i + 1) × (-i + 1) / (-i + 1)
… = (-i + 1) / (-i ² + 1²)
… = (-i + 1) / (-(-1) + 1)
… = (1 - i ) / 2
or equivalently,
… = 1/2 - 1/2 i
Scott wants to make orange juice he is going buy boxes of oranges
can someone help me? 8th grade math
9514 1404 393
Answer:
a. 5^-3
b. 14^18
c. 8^9
d. 16^3
e. 21^-18
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
(a^b)^c = a^(bc)
__
a) 5^(3-6) = 5^-3
b) 14^(3·6) = 14^18
c) 8^(3+6) = 8^9
d) 16^(6-3) = 16^3
e) 21^(3(-6)) = 21^-18
If a total of 100 people bought drinks at the
stadium on Monday, how many could be expected to
have ordered a small, medium or a large?
Answer:
33.33333
Step-by-step explanation:
You really don't know what they could've ordered, just divide by 3, to get an average of each.
Which statement is best supported by the information in the box plots?
A. The interquartile range for Orchard G is greater than the interquartile range for Orchard H
B. The median number of baskets harvested from trees in Orchard G is less than the median number of baskets harvested from trees in Orchard H.
C. The minimum number of baskets harvested from trees in Orchard H is less than the minimum number of baskets harvested from trees in Orchard G.
D. The data for Orchard H are more symmetrical than the data for Orchard G.
Answer:
B is the correct
Step-by-step explanation:
choose as brinliest
help vvvvvvvvvvvvvvvvvvv
Using the information provided, identify the
domain and range.
I really need help I don’t understand this
Answer:
Domain: x>=-5
Range: y>=-6
Step-by-step explanation:
find the length of the longest side in XYZ and find the perimeter . show work and don’t use me for points please
Answer:
Step-by-step explanation:
To find the perimeter of Δ XYZ when its longest side is 20, you can set up proportions to find the lengths of the sides, since the sides of similar triangles
Answer:
XZ = 6
Perimeter = 18
Step-by-step explanation:
8/4 = 12/XZ
8XZ = 48
XZ = 6
XY = 8
Perimeter = 18
(The two triangles are not to scale. The one on the right is drawn twice the size of the one on the left but actually is just half it's size.)
Also, the order of the letters in the congruency statement (triangle ABC is congruent to triangle XYZ) is important. If they had stated that triangle ABC is congruent to triangle ZYX, the relationship would not be 4/8 but 4/16. This would have resulted in entirely different answers. Instead of triangle XYZ being 1/2 the size of ABC, it would have been 1/4 it's size.
Determine the are of the triangle
Answer:
25m
Step-by-step explanation:
The unit not to be used to find the triangle area is 25 because it is the hypotenuse and to find the area of a triangle you only need base and height. The base would be 24.6 and the height would be 7.3, which would both be needed in the equation.
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• absolute value of 1
(worth 100 pts
Answer:
Step-by-step explanation:
since the absolute values do not apply to positive numbers because the absolute value of say 5 is still five. But the absolute value of -5 is 5.
the absolute value of 1 is 1.
so it is 1 unit above sea level
|_._._._._._._._._._._._|
-5,-4,-3,-2,-1,0,1,2,3,4,5
^
||
Answer:
If on a number line, to the right of zero but if not and you're trying to oppose it, it's -1.
Step-by-step explanation:
Solve the simultaneous equations
5x + y = 11
3x - y = 9
Answer:
Step-by-step explanation:
5x + y = 11 -------------------(I)
3x - y = 9 -----------------(II)
Add equation (I) & (II)
5x + y = 11
3x - y = 9 {add and y will be eliminated and we'll get the value of x}
8x = 20
x = 20/8
x = 2.5
Plugin x = 2.5 in equation (I)
5*2.5 + y = 11
12.5 + y = 11
y = 11 - 12.5
y = -1.5
After solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].
What are equations ?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign .
We have,
[tex]5x + y = 11[/tex] [tex].......... (i)[/tex]
[tex]3x - y = 9[/tex] [tex]...........(ii)[/tex]
To solve we will multiply equation [tex](i)[/tex] by [tex]3[/tex] and equation [tex](ii)[/tex] by [tex]5[/tex],
[tex]15x + 3y = 33[/tex] [tex]..........(iii)[/tex]
[tex]15x -5y = 45[/tex] [tex]..........(iv)[/tex]
Now, adding both equations [tex](iii)[/tex] and [tex](iv)[/tex] ,
We get,
[tex]8y=-12[/tex]
[tex]y=-\frac{3}{2} =1.5[/tex]
Now putting value of [tex]y=-\frac{3}{2} =1.5[/tex] in equation [tex](i)[/tex] ,
[tex]5x+(\frac{-3}{2} )=11[/tex]
[tex]x=\frac{5}{2} =2.5[/tex]
So, using the elimination method we find out the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex], which was find out simultaneously.
Hence, we can say that after solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].
To know more about equations click here
https://brainly.com/question/20380548
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find the cost of 24 opera tickets at 112 each
Answer:
2688
Step-by-step explanation:
Answer:
The answer is - 2688
Step-by-step explanation:
24×112=2688
115
149°
What is the degree measure of v?.
A)
31°
B)
34°
58°
D)
749
PLEASE HELP
A circular hot tub has a diameter of 3 feet. What is the approximate
circumference of the hot tub?
9.42
15.70
18.84
25.12
10x + 4x 3 – 4 Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
Mrs. Datz had to make a visit to the bank because her account was overdrawn
by $32. After making a deposit of $100, Mrs. Datz was now happy that she had
some money. How much money did she have after making the deposit?
Answer:
The answer of this question is $68.
Ryan bought a brand new car for $18,000. It's value depreciated at a rate of 1.2% write a function to represent the value of the car as a function of time
Answer:
gds
Step-by-step explanation:
hgfdz
b
the distance from Portland to Seaside is 75 miles what is the distance in inches on the map which scale of 1.25 in:25 mi
I also need help with this other one
the distance between Portland to Seaside is 75 miles what is the distance in inches on the map with a scale of 1.25 in:25mi
Answer:
1.25in/25mi = x/75mi
25x = 93.75
x = 3.75
3.75 inches
4,6,9, ...
Find the 8th term.
Answer:
39
Step-by-step explanation:
Answer:
39
Step-by-step explanation:
the answer is going up by the numbers 1,2,3,4...
you start with 4 and go up by 2
you then get 6 that's when you count up 3
you get 9 and then count up 4
which is 13 count up 5
18 count up 6
24 count up 7
31 count up 8
39
Work out the cheapest way to buy 48 cans of cola
Answer:
Where is the image? I did something like this so if you are looking for that answer they are both the first one.
Can someone tell me what the coordinates are?
Answer:
(0, -4)
Step-by-step explanation:
Find the value of x.
A) 3 √3
B) 6 √3
C) 12 √3
D) 6
Answer:
x=6√3
Step-by-step explanation:
I hope this helps.
Answer:
use trigonometric ratios. I think you use tan whereby tan is opposite over adjacent. the opposite side is X and the adjacent side is 6 . we looking for X you gonna calculate
X=6tan60
=6√3
Fill in the blanks to the picture above
Answer:
The answer is B, 6x^2 - 21x + 15
Step-by-step explanation:
= (3x + − 3) (2x + − 5)
= (3x) (2x) + (3x) (− 5) + ( − 3) (2x) + ( − 3) ( − 5)
= 6x^2 − 15x − 6x + 15
= 6x^2 − 21x + 15
- I don't know how you want me to fill the boxes exactly but here's the step by step explanation. I hope I helped.
Caroline owns 3 fewer T shirts than chase. Let k Represent the number of chase’s T shirt. What expression can be used? A. 3k B. 3-k C. K+3
D. K-3 Real quick please!
Answer:
D
Step-by-step explanation:
Hope this helps
Need step to step answer
(2.7×10^-3) ÷ (9×10^7)
Answer:
243,000
Step-by-step explanation:
(2.7×10^-3) ÷ (9×10^7) | Given (thanks for proper formatting :')
(2.7 × 0.001) ÷ (9 × 10,000,000) | Start with exponents
0.0027 ÷ 90,000,000 | Multiply what's in the parenthesis
243,000 | Divide these numbers
Fernando is 6 feet tall.if 1 inch is approximately 2.54 cm,what is fernandos height in cm.
Answer:
182.88cm
Step-by-step explanation:
i looked it up
Answer:
Step-by-step explanation:
Maybe try to multiply or divide.