Answer: 40.9
Step-by-step explanation:
Given
angle given is [tex]23^{\circ}[/tex]
[tex]RC=16[/tex]
Using trigonometry
[tex]\Rightarrow \sin 23^{\circ}=\dfrac{RC}{PC}\\\\\Rightarrow \sin 23^{\circ}=\dfrac{16}{X}\\\\\Rightarrow X=\dfrac{16}{\sin 23^{\circ}}\\\\\Rightarrow X=40.948\approx 40.9[/tex]
Using cosine formula
[tex]\Rightarrow \cos 23^{\circ}=\dfrac{PR}{X}\\\\\Rightarrow PR=40.9\times \cos 23^{\circ}\\\Rightarrow PR=37.69\approx 37.7[/tex]
Find the surface area of the prism.
1) What is the area of the bases?
2) What is the area of the lateral faces?
3) What is the surface area for the prism?
~Rules~
a. SHOW WORK
b. NO SILLY ANSWER
c. NO LINKS/WEBSITES/FILES!
Lastly, I will give Brainliest to the best answer and whoever follows the rules!
~Hocus Pocus
Answer:
Area Base = 6 ft²
Area Lateral = 48 ft²
Surface Area = 60 ft²
Step-by-step explanation:
Area of the Base:
2 x 3 = 6 ft ²
Area lateral =
4 x ( 3 x 4) = 4 x 12 = 48 ft²
Surface Area =
6 ft² + 6ft² + 48 ft² = 60 ft²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Evaulate 9÷3[(20-7) -2to the power of 2]
Answer:
27
Step-by-step explanation:
Evaulate 9÷3[(20-7) -2to the power of 2]
9÷3[(20-7) - 2²]
9 ÷ 3 = 3
[(20-7) - 2²] = (13 - 4) = 9
Hence ;
9÷3[(20-7) - 2²]
3(9)
= 27
calculate the area of the following composite figure.
Answer:
85 cm²
Step-by-step explanation:
Solve the area of the Rectangle:
A = bh
10 × 6 = 60 cm²
Solve the area of the Triangle:
A = bh × 1/2
10 × 5 = 50
50 × 1/2 = 25 cm²
Add the 2 areas together:
60 + 25 = 85 cm²
Answer:
85 cm²Step-by-step explanation:
The bowling team at Lincoln High School must choose a president, vice president,
and secretary. If the team has 12 members, how many ways could the officers be
chosen?
Answer:
The officers can be chosen in 1320 ways.
Step-by-step explanation:
The order in which the officers are chosen is important(the first is president, second vice president and third secretary) which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
3 officers from a set of 12. So
[tex]P_{(12,9)} = \frac{12!}{9!} = 1320[/tex]
The officers can be chosen in 1320 ways.
i dont know plz help :(
Answer:
45%
Step-by-step explanation:
27/60 = x/100
Solve for x
x = 45
The shoes you want are $95. They are on sale for 40% off . What is the sale price for the shoe ?
Answer:
57
Step-by-step explanation:
90 - 40% = 57
Answer:
The shoes would be $57
Step-by-step explanation:
To calculate percentage you use the equation:
P% x N = A
Before we use it we convert the number 40 into the tenths place of a decimal, 0.40.
Now we use it!
.40 x 95 = 38
38 would be 40%, so we remove it from the last total aka 95
95 - 38 = 57
If A is a 2x2 matrix and B is a 2x1 matrix, what is the dimension of AB?
Answer:
2x2 matrix
Step-by-step explanation:
Given
Dimension of matrices A = 2x2 matrix
Dimension of matrices B = 2x1 matrix
The dimension of matrix AB can be gotten by cancelling the row of matrices 1 and column of matrices 2.
After cancelling both row and column, the remaining dimension will be 2x2 matrix. Hence the dimension of AB is 2x2 matrix
What is the measure of angle of 1?
Answer:
m<1 = 118
Step-by-step explanation:
The remote angles theorem states that when one extends one of the sides of a triangle, the sum of the two non-adjacent angles is equal to the measure of the angle between the extension of the side and a side of a triangle. One can apply this theorem here by stating that
(28) + (90) = m<1
Remember, a box around an angle signifies that its measure is (90) degrees.
Solve this problem by performing the operation,
118 = m<1
Please help me, there is a screenshot of the question below
Answer:
3?
Step-by-step explanation:
Solve y=f(x) for x. Then find the input when the output is – 3.
f(x) = 1/2x-3
x=
The input is
when the output is -3.
Given:
[tex]y=f(x)[/tex]
[tex]f(x)=\dfrac{1}{2}x-3[/tex]
To find:
The input when the output is – 3.
Solution:
We have,
[tex]f(x)=\dfrac{1}{2}x-3[/tex]
Substituting [tex]f(x)=y[/tex], we get
[tex]y=\dfrac{1}{2}x-3[/tex] ...(i)
We need to find the input when the output is – 3. It means, we have to find the value of x when [tex]y=-3[/tex].
Putting [tex]y=-3[/tex] in (i), we get
[tex]-3=\dfrac{1}{2}x-3[/tex]
[tex]-3+3=\dfrac{1}{2}x[/tex]
[tex]0=\dfrac{1}{2}x[/tex]
Multiply both sides by 2.
[tex]0=x[/tex]
Therefore, the input is 0 when the output is -3.
what is the solution set represented by this number line graph?
Answer:
x ≥ 2
Step-by-step explanation:
Shaded circle means ≥ or ≤ . Since the arrow is pointing right, it's showing 2 is greater than or equal to x, meaning ≥ .
DO THE ATTACHMENT PLEASE IT IS DUE IN LESS THAN 10 MINUTES, OR I GET A PHONE CALL HOME. I WILL GIVE BRAINLEST TO ANYONE WITH THE RIGHT ANSWER
i need help lololololololololololololololol
Answer:
First Blank: 4*2 = 8
Second Blank: 6*2 = 12
Step-by-step explanation:
The common ratio for the right row is the number thats given on the opposite side of it's left row times 2
Hope this helps!
Answer:
I have no clue my guess tbh 4 to 8 and 6 to 12
Lyndy conducted a survey of the 300 students in her school. She found that 60 students own dogs, while only 30 students own cats. What percent of the students own cats?
Answer:
您同性恋
Step-by-step explanation:
-
A summer camp has 492 campers who will be going on an outing. Estimate the number of vans needed to accommodate the entire camp if each van can comfortably
hold 12 passengers. Then calculate the actual number of vans that will be needed.
Answer: 41 vans will be needed.
Step-by-step explanation:
There are a total of 492 campers. We know that each van can hold a total of 12 passengers.
So, simply divide 492 by 12 to get the total amount of vans needed.
492/12 = 41 vans.
what is the line of symmetry and the vertex in this table?
Answer:
the line of symmetry is (-1,0) and the vertex is (0,4)
Step-by-step explanation:
I like to plug in all of my coordinates into a graphing calculator in order to find the answer.
Hope this helps...
Please help asap i give you all my points!
Answer:
it dropped 9% from last year
Solve and reduce to lowest terms:
6 / 11 x 1 / 3
Answer:
2/11
Step-by-step explanation:
6/11 x 1/3 =
6/33 =
2/11
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
2/11 as a fraction
0.18 as a decimal
Step-by-step explanation:
The lateral area of a cone is 558 pi cm^2. The radius is 18 cm. Find the slant height to the nearest tenth
Answer:
31.
Step-by-step explanation:
π(18)l = 558π
l = 558/18 = 31
Therefore the answer is 31.
Cassie has a small cube-shaped box. Its volume is 64 cubic centimeters.
What is the area of one face of the box? Enter your answer in the box.
*I will give you 48 POINTS AND BRAIN-LEST*
Emi tried on 8 fewer costumes than Nikil. Emi tried on 4 costumes. How many costumes did Nikil try on?
Answer:
The answer is 12.
Step-by-step explanation:
It's just 4 + 8.
Since Emi tried on 8 fewer costumes than Nikil, you just have to add the number of costumes Emi tried on by 8.
A truck driver drives at an average rate of 43 miles per hour.
At this rate, how many miles will he drive in 11 hours?
Answer: Hello: ) ✨473 miles
Step-by-step explanation:
43 mph for 11 hours = 43×11 = 473
The cone in the figure above has a volume of 72 cubic centimeters and a height of 6 centimeters. What is the radius of the base of the cone, in centimeters?
SOMEONE PLZZZ HELP ME THIS IS DUE IN LIKE 5 MINS (I WILL MARK BRAINLIEST)
Answer:
1) x = 8
2) ∠RPS = 36°
Step-by-step explanation:
GIVEN :-
∠QPS = 180°∠QPR = 7x + 88∠RPS = 3x + 12TO FIND :-
Value of xMeasure of ∠RPSFACTS TO KNOW BEFORE SOLVING :-
In a straight line , if there are two angles such that their sum is equal to straight angle (or 180° in other words) , then those angles are known as linear pair.
PROCEDURE :-
1)
Measure of ∠QPS = 180° and it comprises of ∠QPR & ∠RPS.
⇒ ∠QPR & ∠RPS are linear pair.
⇒ ∠QPR + ∠RPS = 180°
⇒ 7x + 88 + 3x + 12 = 180°
⇒ 10x + 100 = 180
⇒ 10x = 180 - 100 = 80
⇒ x = 80/10 = 8
2)
x = 8. So,
∠RPS = 3×8 + 12 = 24 + 12 = 36°
HELP PLSSSS I WILL GIVE A BRAINLY AND 20 POINTS!!
Answer:
y=x-4 or f(x)=x-4
Step-by-step explanation:
therefore, x=1 ,y=-3; x=2, y=-2 ; etc
Can someone help please?
Answer
for number 6 it should be 459
Step-by-step explanation:
Remember you always multiply the numbers for a easy way or method u can use LxWxH=V. Lengh x Width x Height=Volume
Im so sorry if its wrong
Mrs. Joyce calculated the class mode on her latest test. 18 students took it and the mode was 83. Three days later the four absent kids made it up and scored 77, 83, 68, and 80. What is the new mode
Answer:
83 is still the mode
Step-by-step explanation:
The maximum possible value for the new mode is 83.
What is mode?The data value that is repeated the most in the data set is called the mode of the given data set.
Given is that Mrs. Joyce calculated the class mode on her latest test. 18 students took it and the mode was 83. Three days later the four absent kids made it up and scored 77, 83, 68, and 80.
Initially, the mode of the class of 18 students is 83. This means that most of the students scored the 83 marks in the test. After four students took the test, the maximum probability that the mode will remain 83 is the highest. Also, one of the four numbers scored 83 itself.
Therefore, the maximum possible value for the new mode is 83.
To solve more questions on functions, visit the link below-
https://brainly.com/question/30194223
#SPJ2
What is the real part of this complex number :
2i^28 - 3i^25
Answer:
(2*1)²⁸-(3*2*1)²⁵
=-2.843028803ₓ₁₀¹⁹
9514 1404 393
Answer:
2
Step-by-step explanation:
i^4 = 1, so powers of i^4 are 1
2i^28 = 2
-3i^25 = -3(i^24)(i) = -3i
The number simplifies to 2 -3i. The real part is 2.
Chloe ate 34 burrito. Lucy ate 3 burrito. How much more
burrito did Chloe eat than Lucy? Show your work and explain
No
Step-by-step explanation and Answer:
First, write statements! Then find out the operation. Very simple!
Number of burritos Chloe ate: 34
Number of burritos Lucy ate: 3
Number of burritos Chole ate more that Lucy: 34-3= 31
= Chloe ate 31 burritos more that Lucy.
Help!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Maybe try 1200?