Answer:
[tex]\cos(\theta)=\frac{4}{5}[/tex]
Step-by-step explanation:
Step 1:
Let us find the missing side. We know this is a right triangle, so we can use the pythagorean thereom to find the last side. Let us set 12 as variable a, 20 as variable c, and the unknown side as variable b.
[tex]a^2+b^2=c^2\\12^2_b^2=20^2\\b^2=400-144\\b^2=256\\b=\pm16[/tex]
We do know that a length can never be negative, so the side b would be 16.
Step 2:
According to SOHCAHTOA, cosine is utilizes the adjacent and hypotenuse of the given angle theta. Let us write the equation:
[tex]\cos(\theta)=\frac{adjacent}{hypotenuse} \\\\\cos(\theta)=\frac{16}{20} \\\\\cos(\theta)=\frac{4}{5}[/tex]
I hope this helps! Let me know if you have any questions :)
Mr. Takaya can eat four slices of pizza in seven minutes. If he continues to eat at the
same rate, how long will it take him to eat the whole pizza, which has twelve slices?
How many slices could he eat in 35 minutes?
If he continues to eat at the same rate for 35 minutes, he'll have diabetes.
Can someone help me solve question 2 and 3?
Answer:
Question 2 = 15 drinks
Question 3 = 7/12
Step-by-step explanation:
Question 2:
For every drink, there are three sizes
Ratio = 1:3
There are 5 flavors
Multiply each side by 5
5:15
15 drinks
Question 3:
5 red, 6 yellow, 8 blue, 3 orange, 2 purple
Possible outcomes = 5 + 6 + 8 + 3 + 2 = 24 possible outcomes
Favourable outcomes = 6 + 8 = 14 favourable outcomes
Fraction = 14/24 = 7/12
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Evaluate.
(-5)3 =
this is needed fast pls
Answer:
The answer is -15
Step-by-step explanation:
(-5)3 is the same as -5 × 3
Answer:
The answer is -15-5 x 3 = -15
What is x? Please help quickly!
Answer:
27 1/3
Step-by-step explanation:
Since both angles form a straight line of 180, you can set your formula up as
180=4x+2x+16
180-16=6x
164=6x
164/6=x
Find the remainder when 4 3 − 3 2 + 2 − 4 is divided by + 2
Answer:
4.5
Step-by-step explanation:
43-32+2-4= 9
9/2= 4.5
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Which is the correct formula for the function?
The face of an electric guitar is shaped like a triangle. It has a height of 20 inches and a base of 7 inches. Write an equation you could use to find the area of the face of the guitar.
Answer:
1/2(20x7) i'm pretty sure that is correct.
Step-by-step explanation:
Graded Assignment
Unit Test, Part 2: Expressions and Problem Solving
Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit.
Total score: ____ of 15 points
(Score for Question 1: ___ of 6 points)
1. Emmanuel bought 28 lb of potting soil this week. This amount is 4 lb more than twice the amount of potting soil he bought last week. Answer the following questions to find the number of pounds of soil Emmanuel purchased last week.
(a) What is the unknown information?
(b) Let p represent the unknown information. Write an equation to model the problem.
(c) Which number, 10, 11, or 12, will solve the equation in Part (b)? Show your work.
(d) How many pounds of potting soil did Emmanuel buy last week?
Answer:
plz help me I beg you
Answer:
1.) Amount of potting soil purchased last week.
2) 2p + 4 = 28
3.) 12 lbs
Step-by-step explanation:
1.) The unknown information is what we intend to find out using the information given, which is the amount of potting soil Emmanuel bought last week.
2.)
Let amount of potting soil bought last week = p
Amount bought this week = 2p + 4
Since amount bought this week = 28
Hence, we have ;
28 = 2p + 4
28 - 4 = 2p
24 = 2p
p = 24 / 2
p = 12
A.) A family spends an average of $3000 on a local vacation, how much money was spent on gas? Gas 4%
divide 3000 by 100. multiply. that by your percentage (4%)
3000 ÷ 100 = 30. 30 x 4 = 120$
Can i have some help please best answer gets brainiest!
Answer:
a=35
Step-by-step explanation:
5x35=175, and 175 divided by 7 is 25 :)
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: a = 35}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \: \frac{5a}{7} = 25[/tex]
➺[tex] \: 5a \: = 25 \times 7[/tex]
➺[tex] \: 5a = 175[/tex]
➺[tex] \: a = \frac{175}{5} [/tex]
➺[tex] \: a = 35[/tex]
[tex]\sf \bf {\boxed {\mathbb {To\:verify:}}}[/tex]
[tex] \: \frac{5a}{7} = 25[/tex]
➺[tex] \: \frac{5 \times 35}{7} = 25[/tex]
➺[tex] \: \frac{175}{7} = 25[/tex]
➺[tex] \: 25 = 25[/tex]
➺[tex] \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
find the missing number in the factor tree
for 20 points
i hope you will help
Answer:
see below
Step-by-step explanation:
80 = 4* 20
2*2 2 * 10
2 *5
We are breaking the numbers into primes
2*2*2*2*5
Andrew is two years older than Beatrice, and Chris is three years younger than Beatrice. The product of Andrew's age and Chris' age is 66. How old is Beatrice?
Answer:
9
Step-by-step explanation:
A = B + 2
C = B - 3
A x C = 66
A = Andrew
C = Chris
B = Beatrice
Multiply A and c together
(B + 2) x (b - 3)
b^2 - 3b + 2b - 6
b^2 -b - 6 = 66
b^2 - b - 72 = 0
factors of -72b^2 that add up to - b are -9b + 8b
b^2 + 8b -9b - 72
b (b + 8) -9(b + 8)
b = 9 or - 8
b = 9
what is the algebraic expression for 11 times a number x, minus a second number y ?
Answer:1
Step-by-step explanation:
twice a number minus a second number is -1. Twice the second number added to three times the first number is 9. find the two numbers. System of Equations is how we are supposed to solve this word problem.
One of two complementary angles is 35° larger than the other. What is the measure of both angles?
Answer:
Since the two angles are complementary, they add up to 90...
If we call the first one x, then the other must be 90-x...
Since they are 35 different, we write
x = (90 - x) + 35
now solve, and get
x = 90 - x + 35
x = -x + 125
2x = 125
x = 62.5 deg
the other must be
90 - 62.5 = 27.5 deg
José flips a coin two times. If H is heads and T is tails, what is the sample space for this compound event?
A.
H-H, H-T, T-H
B.
H-H, H-T, T-T, T-H
C.
H-T, T-H
D.
H-H, T-H, T-T
Answer:
I think it is D. because it is theoretical
What is the order of the surd 5?
Answer:
5
Step-by-step explanation:
the order of the surd is 5
Answer:
Step-by-step explanation: The order of a surd indicates the index of root to be extracted. In a√n, n is called the order of the surd and a is called the radicand. For example, The order of the surd 5√z is 5.
Step-by-step explanation:
A square that has a side measurement of 7 inches has an area of: *
14 inches
49 inches
49 square inches
7 square inches
Answer:
49 square inches
Step-by-step explanation:
area of a square = l * l
a = 7 * 7
a = 49 square inches
Look at the diagram
QR is tanget to circle P at point Q
TR imtersects circle P at points T and S
What is the value of x?
Answer:
24
Step-by-step explanation:
18×(18+14) = x × (x + 0)
"+ 0" because it is a tangent at that point, there is no more line left going through the circle.
576 = x²
x = 24
Can someone help with this please??
Answer:
Hannah has 56
Step-by-step explanation:
Hannah receives 7 for every 3rd Zoe gets. Take Zoe's amount, divide it by three, and you get 8. 8*7 is 56.
what is the meaning of proportional sides.? plz need urgently
In a pair of similar triangles, the corresponding sides are proportional. ... When the sides are corresponding it means to go from one triangle to another you can multiply each side by the same number. In the diagram of similar triangles the corresponding sides are the same color.
( if this is wrong I apologize)
Which greatest digit should replace n so that the number 342n84 is divisible by 3?
Answer:
9
Step-by-step explanation:
If you want the number to be divisible by three make sure the sum of all the numbers are divisible by three. Add all the numbers you have to see what they make.
3+4+2+8+4=21
So we just need to find the greatest number we can add to that to have it remain divisible by three. A number divisible by three is 30, and we can add 9 to 21 to make 30. Of course, there are other numbers we could add, but nine is the largest one-digit number that would work. Other smaller numbers include 3 and 6.
3+4+2+8+4+9=30
Now we check to see if our number is divisible by three
342984÷3 = 114328
114328 is a whole number so we know it's divisible.
What type of
number is -16 rational irrational whole number integer
Answer:
rational, whole number, integer
Step-by-step explanation:
-16 is:
rational
whole number
integer
Which function is graphed below?
f(x) = –cos(x)
f(x) = cos(x)
f(x) = sin(x)
f(x) = –sin(x)
The function whose graph is plotted below is given by: Option B:f(x) = cos(x)
How to find the function which was used to make graph?There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.
If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
The missing graph is attached below.
It is either sine or cosine (as known from the options).
The sin function is 0 at x = 0, so we're sure the function isn't sin or negative sin as 0 would make it fall on 0.
The function is definitely [tex]\cos(x)[/tex] since at x = 0 it is 1 and at x = [tex]\pi[/tex] it is -1 (while if it would be -cos(x), it would be -1 at x =0 and 1 at x = [tex]\pi[/tex] )
Thus, the function whose graph is plotted below is given by: Option B:f(x) = cos(x)
Learn more about cosine functions here:
https://brainly.com/question/14290164
Answer:
B.
Step-by-step explanation:
can someone pls pls help me?
Answer:
T=2.25
Step-by-step explanation:
To find the area of a triangle, you do the length times height, times two. Therefor T=2.25 (36/8, then you get 4.5, divide that by 2, get 2.25, 2.25x8x2=36.)
whats the awnser I need it asap
someone help me................
Answer:
[tex]-z^{2} =-25[/tex]
Step-by-step explanation:
The value of z is given as [tex]-5[/tex]
The expression is given as [tex]-z^{2}[/tex]
Substitute the value of z in the expression:
[tex]=-(-5)^{2}[/tex] {add the value inside the bracket to avoid mistakes}
[tex]=-1[/tex] × [tex](-5)^{2}[/tex]
[tex]=-1[/tex] × [tex]((-5)[/tex] × [tex](-5))[/tex]
[tex]=-25[/tex]
how do i solve this?
Answer:
B = 115
C = 65
x = 7
y = 16
Step-by-step explanation:
To get angle B use the same side interior therom. 180-65 = 115 = B
C = 65 since you just use the same method as above and D equalls 115.
x = 7 since they are parrelle lines with same lenght. and y equalls to 16 since it is parallel to the bottom line.
That is all you answer.
A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 100 nails and each large box has 350 nails. The contractor bought a total of 9 boxes that have 2400 nails altogether. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.
Answer:The system 150x+400y=1950 and x = y+2 could be used to determine the number of small boxes and large boxes ordered where x represents the number of small boxes and y represent the number of large boxes.
Step-by-step explanation:
Answer:
Let s = the number of small boxes purchased
Let l = the number of large boxes purchased
100s + 350l= 2400
s+l= 9
The equation p = -30q+q2-400 cuts the x-axis at A(a,b) and B(c,d). Find the sum of a,b,c and d?
