Answer:
A, [tex]\frac{5\sqrt{74}}{74}[/tex]
Step-by-step explanation:
Cosine of an angle is equal to the adjacent side of that angle over the hypotenuse of the triangle. Since the adjacent side is 5, and the hypotenuse is √74, the value is 5 / √74.
However, we can't have radicals (square roots) in the denominator, so we multiply the top and bottom by √74 so that the radical goes on the top.
Which expression is used to find the probability of 4 even numbers being rolled on 20 successive rolls of a six-sided die?
Answer:
15/36 (41.667%)
Step-by-step explanation:
Find the volume of the rectangular pyramid
Thank you!!
Answer:
72
Step-by-step explanation:
Find the surface area of the composite figure.
SA = [ ? ] cm^2
Answer:
644
Step-by-step explanation:
SA=[2×(5×20 + 5×6 + 20×6)] +
[2×(4×12 + 4×6 + 12×6)] -
[ 2× 12×6]
= [2×(250)]+[2×(144)] - [144]
= 500+288-144
= 644 cm²
solve the right triangle. round answer to the tenth.
Answer:
By using the pythagorean property such that GJ^2+HJ^2 = GH^2
GJ = √(GH^2-HJ^2)
GJ √(11881-8281)
GJ = √ 3600
GJ = 60.00 (ANS)
Hope it helps
142- 132= 14+13 pls do this question for me
Answer:
37
Step-by-step explanation:
You subtract 142-132 then add 14+13 and 14+13=27 & 142-132=10
Answer:
37 :)
Step-by-step explanation:
Well, the first step you do is you do 142-132 which is (10). The Next step is to do 14+13 which is (27). Now you have 10 and 27 which you now add to get you.. (37)!
Hope this helps! ^^
2 1/4 divided by 3 1/2
Answer:
9/4 ÷ 7/2
9/4 × 2/7
9/14
plßssssssssssss mark me brianliest
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equivalent expression is ~
[tex] \boxed{ \frac{9}{14} }[/tex]
[tex] \huge \boxed{ \mathfrak{Explanation}}[/tex]
[tex]2 \frac{1}{4} \div 3 \frac{1}{2} [/tex][tex] \dfrac{9}{4} \div \dfrac{7}{2} [/tex][tex] \dfrac{9}{4} \times \dfrac{2}{7} [/tex][tex] \dfrac{9}{2 \times 7} [/tex][tex] \dfrac{9}{14} [/tex]please help i don’t get this lol
Answer:
sorry i dont know the answer
Step-by-step explanation:
Find the values of m and n
Answer:
34
Step-by-step explanation:
all sides of a triangle add up to 180
soccer ball inflation:
How many pumps will it take to fill the large soccer ball with a circumference of 71 inches? Recall that the amount of air in one pump was about 11 cubic inches.
must show all work and justify work
Answer:
549 pumps
Step-by-step explanation:
We'll begin by calculating the radius of the larger ball. This can be obtained as follow:
Circumference (C) = 71
Pi (π) = 3.14
Radius (r) =?
C = 2πr
71 = 2 × 3.14 × r
71 = 6.28 × r
Divide both side by 6.28
r = 71 / 6.28
r = 11.3 in
Next, we shall determine the volume of the larger ball.
Since a ball is spherical in shape, we shall use the formula for calculating the volume of a sphere to obtain the volume of the ball. This can be obtained as follow:
Pi (π) = 3.14
Radius (r) = 11.3 in
Volume (V) =?
V = 4/3πr³
V = 4/3 × 3.14 × 11.3³
V = 4/3 × 3.14 × 1442.897
V = 6041 in³
Finally, we shall determine the number of pumps will it take to fill the large soccer ball. This can be obtained as follow:
11 in³ = 1 pump
Therefore,
6041 in³ = 6041 in³ × 1 pump / 11 in³
6041 in³ = 549 pumps
Thus, it will take approximately 549 pumps of air to fill the large soccer ball.
what is the value of 2x^3+7x^2-19x-6 if the value of x is -1
Answer:
-40
Step-by-step explanation:
Let's input x into all of the slots.
[tex]-2^{2}+-7^{2}+19-6[/tex]
Now, let's solve!
[tex]-4-49+19-6[/tex]
[tex]-40[/tex]
So, the answer is -40!
HELPPPP PLEASE HELP ME WITH BASIC MATH I REALLY APPRECIATE IT ((WILL MARK AS BRAINLIEST))
Answer:
3) 522
4) 468
Step-by-step explanation:
hello!
3) in the question, it says the cross section is a square, and the area of PQRS is 81.
for the square, we know that the length and height have to be the same, so if the area is 81, then we know the sides are both 9 because 9*9 is 81 and they're the same numbers multiplied. (same height and length)
with the information that all 4 sides of the square is 9 and the other side is labeled 10, we can figure out the rest.
both squares : 81+81=162
both 10 by 9 sides: 90+90=180
both 10 by 9 sides (top and bottom): 90+90=180
total surface area=162+180+180=522
4) for this problem, we can see that the triangle is a right triangle.
to solve the area of the triangle, we can do (9*12)/2=108/2=54.
there are two sides with triangles, so we double 54 (54*2=108)
9 by 10 side: 90
10 by 12 side: 120
now for the last slide, theres no information on the length. the formula for the diagonal is
a^2+b^2=c^2
which is
9^2+12^2=81+144=255=15^2
with this, the area of the rectangular side gives us 10*15 which is 150.
adding it together, we get
108+90+120+150=468.
hope this helps!
hii please help i’ll give brainliest
Answer:
it's probably 37 I could be wrong but hope this helps ya
please help i’ll give brainliest
Answer:the answer is mode
Step-by-step explanation:
Also willing to give brainliest on this too!! please help, asap !! (theres another part)
(05.02) Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in order to buy the correct amount of material. Calculate the area of the parallelogram to determine how much material should be purchased. Be sure to explain how to decompose this shape into rectangles and triangles. Describe their dimensions and show your work.
Answer:
150 ft^2
Step-by-step explanation:
13 × 10 = 130 ft
2 × 10 = 20/2 = 10
10 × 2 = 20 ft
130 + 20 = 150 ft^2
Consider the triangle.
Which shows the order of the angles from smallest to
largest?
А
22
12
B
O angle A, angle B, angle C
O angle B, angle A, angle C
O angle B, angle C, angle A
O angle C, angle A, angle B
16
с
Answer:
It's the second answer down : Angle B, A and C
Step-by-step explanation:
The sequence from the smallest to the largest is angle B, angle A, angle C .
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given AB= 22 units
BC=16 units
AC=12 units
The property of Triangle says, in a triangle, angle opposite to the greater side have greater angle.
That is angle opposite to the shorter side have shorter angle.
Therefore, we have
Therefore,
angle opposite to side AC is angle B,
angle opposite to side BC is angle A,
angle opposite to side AB is angle C,
Therefore, the sequence from the smallest to the largest is angle B, angle A, angle C .
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PLS HELP I NEED HELP
What is the area of this shape?
Could someone plz help fast thanks
help will give brainliest if correct
Answer: 32
Step-by-step explanation: the big number is 64 and the smallest number is 32. 64-32=32
Jasim wants to solve the equation 3x = 12. How could he use graphs to solve this
equation?
Answer: this
Step-by-step explanation: i somehow guessed and jesus was on my side
The solution of the graph will be;
⇒ x = 4
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Jasim wants to solve the equation 3x = 12.
Now,
Since, The equation is,
⇒ 3x = 12
When, We draw the graph of the equation 3x = 12, then it cut on the x - axis at point 4.
So, We can say that;
The solution of the equation by graph is,
⇒ x = 4
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M multiplied by 4 is greater than 12
How do I solve it
Answer:
M > 3
Step-by-step explanation:
4M > 12
M > 3
Answer:
um... you can have M as 4. 4 x 4 =16
What is the intermediate step in the form (x + a)2 = b as a result of completing the
square for the following equation?
x2
12x + 32 = 4
Given:
The equation is:
[tex]x^2-12x+32=4[/tex]
To find:
The result of completing the square for the given equation.
Solution:
We have,
[tex]x^2-12x+32=4[/tex]
It can be written as:
[tex]x^2-12x=4-32[/tex]
[tex]x^2-12x=-28[/tex]
Now, we need to add half of square of coefficient of x, to complete the square.
Adding [tex](\dfrac{-12}{2})^2[/tex] on both sides, we get
[tex]x^2-12x+(\dfrac{-12}{2})^2=-28+(\dfrac{-12}{2})^2[/tex]
[tex]x^2-2(x)(6)+(-6)^2=-28+(-6)^2[/tex]
[tex]x^2-2(x)(6)+(6)^2=-28+36[/tex] [tex][\because (-a)^2=(a)^2][/tex]
Using the formula [tex](a-b)^2=a^2-2ab+b^2[/tex], we get
[tex](x-6)^2=8[/tex]
Therefore, the required equation after completing the square is [tex](x-6)^2=8[/tex].
I need help!!! ASAP!!!! (No links, please!)
Answer:
Step-by-step explanation:
Volume is length times width times height. Because our shape is a cube, by definition, all the sides are the same length, so we are multiplying the number by itself 3 times...we are cubing it. The power then is 3. If we cube 1/3
[tex](\frac{1}{3})^3[/tex] which is [tex]\frac{1}{27}[/tex]
What is the equation of the graph below?
A.y = - (x - 2)^2 + 3
B.y = (x + 2)^2 + 3
C.y = - (x + 3)^2 + 2
D.y = (x - 3)^2 + 2
Answer:
The answer is letter B.
Step-by-step explanation:
go left 2
up 3
Make sure your answer is in degrees. You should be able to find this without a calculator.
sin-1(sin 17°) = [ ? ]°
[tex]sin^{-1} (sin17^{0} )[/tex] = [tex]17^{0}[/tex]
What Is Sin of Sin Inverse of x?The inverse sine function (also called arcsine) is the inverse of sine function. Since sine of an angle (sine function) is equal to ratio of opposite side and hypotenuse, thus sine inverse of same ratio will give the measure of the angle.
sin ([tex]sin^{-1}x[/tex]) = x, whenever x ∈ [-1, 1] and
sin ([tex]sin^{-1}x[/tex]) is NOT defined whenever x ∉ [-1, 1].
Given
[tex]sin^{-1} (sin17^{0} )[/tex]
Cancel out [tex]sin^{-1}[/tex] and sin
[tex]sin^{-1} (sin17^{0} )[/tex] = [tex]17^{0}[/tex]
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Out of 18 people in a room, 2 have red hair. What is the probability that a person picked at random from the room does NOT have red hair?
Give an explanation plz:)
Answer :
Total number of people in the room = 18Number of people with red hair = 2Number of people not with red hair = 18 - 2 = 16Probability of picking a person who doesn't have red hair = [tex]\sf\dfrac{Number\:of\:favourable\:outcomes}{Total\:outcomes}[/tex]Probability = 16/18
Reduce the fraction with 2
Probability = 8/9
Answer:
[tex]\implies\boxed{\red{\sf P( not \ having\ red\ hair)=\dfrac{ 8}{9}}}[/tex]
Step-by-step explanation:
Given :-
There are 18 people in the room .Two of them have Red hair.And we need to find the probability that a person picked at random from the room does not have red hair . So for that firstly let us find how many people do not have red hair.
According to Question :-
[tex]\implies n_{(red)}+ n_{(not\ red)}= 18 \\\\\implies 2 + n_{(not\ red)}= 18 \\\\\implies n_{(not\ red)}= 18 -2 =\boxed{\red{16}}[/tex]
Hence the probability is :-
[tex]\implies P( not \ having\ red\ hair)=\dfrac{ n_{(favourable\ outcomes)}}{n_{(possible\ outcomes)}} \\\\\implies P( not \ having\ red\ hair)=\dfrac{ 16}{18} \\\\\implies\boxed{P( not \ having\ red\ hair)=\dfrac{ 8}{9}}[/tex]
Hence the required probability is 8/9 .
what would be the value of y? help
y=55x(1-0.02) decay as a percent
What number represents a temperature of 7 degrees below zero
Answer:
-7
Step-by-step explanation:
p mark brainliest please
Answer:
-7
Step-by-step explanation:
0 subtract 7 is negative 7
If two points known on the line A B in the coordinate plane is (7,15) and (18,42), calculate the slope of the line AB and the length of the line AB
Answer:
Slope = 27/11
AB = 29.15 u
Step-by-step explanation:
Given :-
Two points are given to us .The points are A(7,15) and B(18,42)To Find :-
The slope of the line .The length of line AB .We can find the slope of the line passing through the points [tex]( x_1,y_1)[/tex] and [tex]( x_2,y_2)[/tex]as ,
[tex]\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}[/tex]
Plug in the respective values ,[tex]\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}[/tex]
Hence the slope of the line is 27/11 .
[tex]\rule{200}2[/tex]
Finding the length of AB :-
We can find the distance between them by using the Distance Formula .[tex]\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 } \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }[/tex]
Hence the length of AB is 29.15 units .
Jelani made a mistake solving an equation. His work is shown below.
...
Where did Jelani make a mathematical mistake?
Answer:
d. going from step 1 to step 2.. i think