Answer: Choice E. 4/sqrt(7)
This is the same as writing [tex]\frac{4}{\sqrt{7}}[/tex]
=================================================
Explanation:
0.75 = 3/4
Recall that cosine is the ratio of adjacent over hypotenuse.
That means if cos(theta) = 3/4, then the adjacent is 3 units and the hypotenuse is 4 units.
Through the pythagorean theorem, we would then find that
a^2+b^2 = c^2
a = sqrt(c^2 - b^2)
a = sqrt(4^2 - 3^2)
a = sqrt(7)
This is the opposite side of reference angle theta.
From here, we can say
csc(angle) = hypotenuse/opposite
csc(theta) = 4/sqrt(7)
which points to choice E as the final answer.
if xsquared+ysquared=57 , xy=3 . find the value of 3(x+y)squared
Answer:
189
Step-by-step explanation:
If you mean this, my answer is 3x63= 189
[tex] {x}^{2} + {y}^{2} = 57 \\ xy = 3[/tex]
[tex] {x}^{2} + {y}^{2} + 2xy = 57 + 2 \times 3[/tex]
[tex] {(x + y)}^{2} = 63[/tex]
[tex]3 {(x + y)}^{2} = 3 \times 63 = 189[/tex]
Convert 150 base 10 to a binary
number.
Answer:
10010110
Step-by-step explanation:
A binary number is basically a number in base 2. So, each place represents a power of two. The ones place represents 1 or 2^0, the tens represents 2 or 2^1, the hundreds represents 4 or 2^2 and so on. To find the highest place needed to make in the number in binary, we find the greatest power of two that is below 150. In this case, it is 128. We can start by writing 128 in binary:
10000000
Now, we subtract 128 from 150 and find the largest power of two that is smaller than the difference. The largest power of 2 smaller than 22 is 16, so we put a one in the place for 2^4:
10010000
We can subtract 16 from 22 to get what is leftover to continue the process. We get 6, and the largest power of 2 smaller is 4. We can place a one in the hundreds place to represent it:
10010100
What is left is 6-4 or 2, which is just 2^1, so we can place it in the tens place:
10010110
Complete the expanded form of this number.
62,719
Enter numbers from greatest to least place value starting on the left.
6,0000 + 2,000 + 700 + 10 + 9
A student multiplied 4986 by 45 instead of multiplying by 54. By how much was his answer greater than the correct answer? Mention the property used.
Answer:
So, the difference is 44874.
Step-by-step explanation:
Multiplication of 4986 by 45
= 4986 x 45 = 224370
Multiplication of 4986 by 54
= 4986 x 54 = 269244
So, the difference in results is
= 269244 - 224370 = 44874
BRAINLIEST FOR THE RIGHT ANSWER! THANKS! Indicate in standard form the equation of the line through the given points, writing the answer in the equation box below.
P (0, -4), Q (5, 1)
Answer:
x-y=4
Step-by-step explanation:
Slope = (1-(-4))/(5-0) = 5/5 = 1
y-intercept,
b=-4-(1)×0=-4
so the equation is,
y=x-4
or, x-y=4
Answered by GAUTHMATH
What is −2+(−3)+4−(−3)−5?
Answer:
-3
Step-by-step explanation:
1. Find the value of x, rounded to the nearest tenth
A. 3.7
B. 4.4
C. 8.9
D. 4.2
Answer:
C 8.9
Step-by-step explanation:
all these lines (from the same point of origin, cutting into and through a circle, ending at the far end of the circle they are cutting into) have the same relation of their lengths :
a×(a+b) is the same for all these lines.
with a being the first segment from the point of origin to touching the outside of the circle, and b being the length of the line inside the circle.
so,
4×(4+16) = 8×(8+2) = 80
this is correct for these two lines.
now, the line with the length x is a special case, as it does not really go through a circle, it only touches them.
but the length relation applies also to this line. it is just that the length inside the circle is 0.
so,
x×(x+0) = 80 (the same value as for the other lines)
must be true here too.
=>
x² = 80
x = sqrt(80) ≈ 8.9
The perpendicular room is 4m long, 3m wide and 2.5m high. They tiled and painted the interior walls of the room. Find the amount of paint to be used in wall painting (knowing that one coat of paint can paint 5m2).Answer only
Answer:
7 coats (cups) of paint
Step-by-step explanation:
The dimensions of the room are;
The length of the room, l = 4 m
The width of the room, w = 3 m
The height of the room h = 2.5 m
The area one coat (taking the coat to mean cup) of paint can paint, A/c = 5 m²/cup
The total surface area of the room wall, A = 2 × l × h + 2 × w × h
∴ A = 2 × 4 m × 2.5 m + 2 × 3 m × 2.5 m = 35 m²
The amount of paint to be used, c = A/(A/c)
∴ c = 35 m²/(5 m²/cup) = 7 cups
The amount of paint to be used, c = 7 cups
Please hurry up PLEASE ILL GIVE YOU ALL MY POINTS
Step-by-step explanation:
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If Jamie's paddling pool has a diameter of 10m, what is its area in square meters?
pls help
Answer:
use app Gauthmath its will give you the answer
Answer:
100msquare (or) sq.m (diameter in a circle inscripted square is one of its side)
Step-by-step explanation:
area of squr=side*side
=10*10
=100msquare (or) sq.m
QUESTION 2
dobsond bis
Simplify the following
a5 x a?
Answer:
[tex]a^{6}[/tex]
Step-by-step explanation:
Assuming you mean [tex]a^{5}[/tex] × a
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then
[tex]a^{5}[/tex] × a
= [tex]a^{5}[/tex] × [tex]a^{1}[/tex]
= [tex]a^{(5+1)}[/tex]
= [tex]a^{6}[/tex]
Thanks to whoever decides to help :)
Answer:
(-4,5)
Step-by-step explanation:
The distance traveled (in meters) by an insect is modeled by the equation
d=0.3t where d is the distance traveled in meters and t is the time in minutes.
Find the distance traveled in 26.3 minutes.
A. 0.789 meters
B. 7.89 meters
C. 26 meters
D. 87.67 meters
Answer:
c
Step-by-step explanation:
Distance travelled in [tex]26.3[/tex] minutes from the given equation model is equals to [tex]7.89[/tex] meters.
What is distance?" Distance is defined as the total length between two end points representing one of the dimension."
According to the question,
Given equation,
[tex]d = 0.3 t[/tex]
[tex]'d'[/tex] represents the distance travelled in meters
[tex]'t'[/tex] represents the time in minutes.
As per the given condition distance travelled in [tex]26.3[/tex] minutes is given by,
[tex]d = 0.3 \times 26.3\\\\\implies d = 7.89 meters[/tex]
Hence, Option(B) is the correct answer.
Learn more about distance here
https://brainly.com/question/15172156
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Plz help ASAP I got 10 mins !!!!!
Answer:
x=5
Step-by-step explanation:
Since the triangles are similar we can use ratios to solve
4.5 7.5
---- = ------
3 x
Using cross products
4.5x = 3 * 7.5
4.5x = 22.5
Divide each side by 4.5
x = 22.5/4.5
x=5
the answer to the question please
Yulet rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is a factor of 24.
Given that 3(x-1)-2(x-1)=7, then the value of x is MI 6 7 (A) (B) (C) (D) 8 9
Answer:
x = 8
Step-by-step explanation:
Given
3(x - 1) - 2(x - 1) = 7 ← distribute both parenthesis on left side
3x - 3 - 2x + 2 = 7 , simplifying
x - 1 = 7 ( add 1 to both sides )
x = 8
Find the measure of a single exterior angle of the regular polygon shown below. If necessary, round to the nearest tenth.
Answer:
32.7 degrees
Step-by-step explanation:
The total exterior angle of any polygon is 360 degrees
Each exterior angle can be calculated by dividing this total by the number of sides
So we have each measure as 360/n
where n is the number of sides
here, we have n = 11
So we have each exterior angle as:
360/11 = 32.7 degrees
Answer:
40
Step-by-step explanation:
The point (2,9) undergoes a translation given by (x,y) (x+3,y-8) the new coordinate of the point is
Answer:
(5 , 1)
Step-by-step explanation:
coordinate point is (2 , 9)
translation rule is
(x , y) = (x + 3 , y - 8)
here x is 2 and y is 9
so the new coordinate will be
(x + 3 , y - 8)
(2 + 3 , 9 - 8)
(5 , 1)
Simplify these 2 questions:
Answer:
Hope the answer It'll help you:)
What are the first 10 digits after the decimal point when the fraction $\frac17$ is written in base 16?
Answer:
The amswer is "2,4,9....."
Step-by-step explanation:
[tex]x=\frac{1}{7}\\\\x_d=0.\overline{142857}\\\\x_h=0.\overline{249}\\\\[/tex]
by leave you to work out the other 7 digits:
[tex]\to \frac{1}{7}\approx \frac{a}{16}\\\\a= \text{first hex digit}\\\\a=floor(\frac{16}{7})=2\\\\[/tex]
[tex]\to \frac{1}{7}- \frac{a}{16}\approx \frac{b}{16^2}\\\\b= \text{second hex digit}\\\\b=floor(\frac{16^2}{7} -16a)=4\\\\[/tex]
[tex]\to \frac{1}{7}- \frac{a}{16}-\frac{b}{16^2} \approx \frac{c}{16^3}\\\\c= \text{third hex digit}\\\\c=floor(\frac{16^3}{7} -16^2a-16b)=9\\\\[/tex]
The area A of a circle is given by the formula: A = pie r ² If the radius of the circle is 7 inches, find the area of the circle
Answer:
49 pi in^2 or approximately 153.86 in^2
Step-by-step explanation:
A = pi r ²
Let r = 7
A = pi 7 ²
A = 49 pi
If we approximate pi by 3.14
A is approximately 153.86 in^2
A side of the triangle below has been extended to form an exterior angle of 129°. Find the value of x.
129° + x = 180°. [Linear pair]
=> x = 180° - 129°
=> x = 51°
A student had $40 but spent $32. What percentage of his money has he spent?
Answer:
80%
Step-by-step explanation:
$40->100%
$32->x
x=32×100/40
x=80%
the correct answer is 80%
Find the square of 75
Answer:
5625
Step-by-step explanation:
75^2
75x75
5625 is the answer
Answer:
The square of 75 is 5625
75²75×755625hope it is helpful to you
The ratio of boys to girls in a class is 5:4.There are 36Students in the class.how many students are girls?
Answer:
16 girls
Step-by-step explanation:
boys : girls : total
5 4 5+4 = 9
take the total number of people and divide by 9
36/9 = 4
Each number should be multiplied by 4
boys : girls : total
5*4 4*4 9*4
20 16 36
There are 16 girls
HELP!!!!
Best answer gets brainliest.
Answer:
t-6=7 .................
Answer:
t - 6 = 7
Step-by-step explanation:
a cheetah runs at the speed of 2km per minute. How far can it run in 5 minutes? PLEASE I NEED IT RN
Answer:
10 km
Step-by-step explanation:
pls mark me brainliest
Put these numbers in order from least to greatest.
1/8,1/2,0.13, and 7/8
Answer: 1/8, 0.13, 1/2, 7/8
Step-by-step explanation: Mental Math
Step-by-step explanation:
0.13,1/2,1/8,and 7/8
hope it is helpful to you
Hurry please What is the sum of the series below?
Answer: C. 218085
Step-by-step explanation: Scientific calculator helps.
Answer:
C
Step-by-step explanation:
I can get you the answer, but I do not know the proper method of deriving it out other than starting with y = 5 when x = 1 and go all the way up to x = 30 adding the result each time.
I might say that computer languages eat this for a pre breakfast meal. The solution is only five lines long.
The answer is 218085 which is the third one down.