Answer:
Step-by-step explanation:
I'll work on the left triangle first:
tan 20 = x /10
x = 10tan 20 = 3.64
cos 20 = 10/y
y = 10/cos20 = 10.64.
tan 70 = 12/x
x = 12/tan 70 = 4.37.
sin 70 = 12/y
y = 12/sin70 = 12.77.
Elizabeths school is selling 100 raffle tickets to raise money for a new gymnasium. The grand prize is a ten speed mountain bike. Which word or phrase describes the probability that she will win the raffle if she buys all the tickets
The word or phrase that describes the chances of Elizabeth winning the mountain bike if she buys all the tickets is likely.
What are the chances that Elizabeth will win the raffle?If Elizabeth buys all the tickets, then she will most definitely win the raffle because she will have the winning ticket.
In probability, when an event is certain to happen, it is said that the event is "likely." It is therefore likely that Elizabeth will win the raffle.
Find out more on likely events at https://brainly.com/question/7130419.
The cpi is currently 153. if a coffee maker costs $31.90 today, how much did one cost in 1983, to the nearest cent? a. $20.85 b. $21.20 c. $26.60 d. $48.81
its C
One coffee maker's cost in 1983 was $20.85 if the current CPI is 153 option (a) is correct.
It is given that the CPI is currently 153 if a coffee maker costs $31.90 today. It is required to find how much did one cost in 1983.
What is CPI?It is defined as the tool to measure inflation that indicates between two periods how much cost is increased. It can be represented by [tex]\rm CPI_t[/tex] for the given time 't'
The formula for finding the CPI:
[tex]\rm CPI_t = \frac{C_t}{C_0}\times 100[/tex]
Where [tex]\rm c_t[/tex] is the cost in the current market
[tex]c_0[/tex] is the cost at the given period.
We have in the question:
[tex]\rm c_t = \$31.90\\\\\rm CPI_t = 153[/tex]
Putting these values in the CPI formula, we get:
[tex]\rm 153= \frac{31.90}{C_0}\times 100\\\\\rm c_0 = \frac{3190}{153} \\\\\rm c_0 = \$20.84 \approx \$20.85[/tex]
Thus, one coffee maker's cost in 1983 was $20.85 if the current CPI is 153.
Learn more about the CPI here:
https://brainly.com/question/26682248
Find the area of each triangle b= 12.4cm. h= 18 cm
[tex] \frac{1}{2} \times b \times h \\ \frac{1}{2} \times 12.4 \times 18 \\ 6.2 \times 18 \\ 111.6 {cm}^{2} [/tex]
Pls help i am extremly stressed with this question
Answer:-7/8>-0.60
C is not true
21b-32+7b-20b=?
Tell fast pls
21b-32+7b-20b=
21b + 7b - 20b - 32
8b - 32
Hello!
21b-32+7b-20b=
21b +7b -20b -32
= 28b -20b - 32
= 8b -32
The center of the sphere is C and its circumference is 7pi centimeters.
Find the radius of the sphere. Find the diameter of the sphere.
Answer:
384800 square centimeters (cm²); 3.848 × 107 square millimeters (mm²); 1.48572E-5 square miles (mi²); 46.0217 square yards (yd²)
Step-by-step explanation:
HELP ME PLEASE!!! i cant do this and it is due in 10 minutes.
25% of 7th grade classrooms are math classrooms. The 7th grade area has three math classrooms. How many classrooms are there in the seventh grade area?
Answer:
12 classroomsStep-by-step explanation:
25% of classrooms is 3, find 100%
25% ⇒ 3100% ⇒ xSince 100% is 4 times 25%, the corresponding number will also be 4 times greater:
x = 4*3 = 12In the parallelogram shown, find the measure of ∠A.
Answer: 40 degrees
Step-by-step explanation:
Can someone not just tell me the answer but how to do it pls!!!
Answer:
B
Step-by-step explanation:
The first step of any problem solution is look at the given information. Here, we are given the equation of a line in (almost) standard form, and we want to match the equation with a graph. We notice that the coefficients of the variables are factors of the constant, so the intercepts are integer values easily found.
We can compare the line's intercepts to those shown on the graphs to choose the correct graph.
x-intercept
The x-intercept is found by setting y=0 and solving for x:
-3x +5(0) = -15
x = -15/-3 = 5
Only one graph shows a line with an x-intercept of (5, 0): graph B.
y-intercept
We can confirm graph B by finding the y-intercept. For this, we set x=0 and solve for y.
-3(0) +5y = -15
y = -15/5 = -3
Graph B also has a y-intercept of (0, -3), confirming it is the correct choice.
_____
Additional comment
Part of "look at the given information" is "look at the answer choices." What you look for is what makes one choice different from the others. Here, the lines have x- and y-intercepts of ±3 and ±5. The y-intercepts are the same for graphs A and B, and for graphs C and D.
However, the x-intercepts are different for all of them. This tells you that finding the x-intercept is the fastest way to find the correct graph.
Nathan is going to invest in an account paying an interest rate of 4. 9% compounded continuously. How much would Nathan need to invest, , for the value of the account to reach $34,000 in 9 years?
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$34000\\ P=\textit{original amount deposited}\\ r=rate\to 4.9\%\to \frac{4.9}{100}\dotfill &0.049\\ t=years\dotfill &9 \end{cases} \\\\\\ 34000=Pe^{0.049\cdot 9}\implies 34000=Pe^{0.441}\implies \cfrac{34000}{e^{0.441}}=P\implies 21875.35\approx P[/tex]
Please help me I will mark brainliest to whoever answers
Step-by-step explanation:
All Natural Number (1,2,3,4,5...) are integers
All Whole numbers (0,1,2,3,4...) are not natural numbers (1,2,3,4...)
All integers are rational numbers
All real numbers are not irrational numbers as real nimber contain both rational and irrational numbers hence it is false.
Hence statement 1 and statement 3 are true
Answer:
The answeris D
Step-by-step explanation:
All whole numbers are natural numbers; natural numbers are numbers we use for counting 1, 2, 3....and so on, so that makes them whole because thay have no fraction, or decimils.
Use the graph that shows the solution to f(x)=g(x).
f(x)=−(x+2)(x−2)
g(x)=2|x+2|
What is the solution to f(x)=g(x)?
Select each correct answer.
−2
0
2
4
Answer: -2, 0
Step-by-step explanation:
The graph this represents this system is the second graph since the vertex of the absolute value function is at x=-2.
So, to find the solutions, we can find the intersection points. These are at x=-2 and x=0.
what is the measurement of DA (parallelogram)
obcjkaosicabkajiuhcabaca
write 45920 in word form
Answer:
forty five thousand and nine hundreds twenty
Step-by-step explanation:
Please help!! <3
Thanks in advance!!
x=? degrees
WHAT IS THE ANSWER
ASAP ANSWER PLEASE! 20 POINTSS!
A cylindrical shaped silo has a diameter of 18 feet and a height of 4 feet. How much water can the silo hold, in terms of π?
Refer to your STAAR 8th Grade Math Reference sheet for the appropriate formula.
Question 3 options:
162π ft3
324π ft3
648π ft3
12962π ft3
Answer:
th answer is 324
Step-by-step explanation:
i took the test
pls pls pls pls pls pls pls
The inverse, converse and contrapositive of a statement are used to determine the true values of the statement
How to determine the inverse, converse and contrapositiveAs a general rule, we have:
If a conditional statement is: If p , then q .
Then:
Inverse -> If not p , then not q .Converse -> If q , then p .Contrapositive -> If not q , then not p .Using the above rule, we have:
Statement 1
Inverse: If a parallelogram does not have a right angle, then it is not a rectangle. Converse: If a parallelogram is a rectangle, then it has a right angle.Contrapositive: If a parallelogram is a not rectangle, then it does not have a right angle.All three statements above are true
Statement 2
Inverse: If two angles of one triangle are not congruent to two angles of another, then the third angles are not congruent. Converse: If the third angles of two triangle are congruent, then the two angles are congruent to two angles of anotherContrapositive: If the third angles of two triangle are not congruent, then the two angles are not congruent to two angles of anotherAll three statements above are also true
Read more about conditional statements at:
https://brainly.com/question/11073037
subtract, need help again! thanks a lot.
[tex]\quad\qquad\qquad\huge\underline{\boxed{\sf Aηswer☂ }}[/tex]
Here's the solution ~
# First[tex]\qquad \sf \dashrightarrow \: \sqrt{8} - \sqrt{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: ( \sqrt{2 \times 2 \times 2} )- \sqrt{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: 2\sqrt{ 2} - \sqrt{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ 2} [/tex]
# Second[tex]\qquad \sf \dashrightarrow \: \sqrt[3]{24} - \sqrt[3]{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: (\sqrt[3]{2 \times 2 \times 2 \times 3}) - \sqrt[3]{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: 2\sqrt[3]{3} - \sqrt[3]{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt[3]{3} [/tex]
# Third[tex]\qquad \sf \dashrightarrow \: \sqrt[]{125} - \sqrt{45} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt[]{5 \times 5 \times 5} - \sqrt{3 \times 3 \times 5} [/tex]
[tex]\qquad \sf \dashrightarrow \: 5 \: \sqrt[]{5 } - 3\sqrt{ 5} [/tex]
[tex]\qquad \sf \dashrightarrow \: 2 \: \sqrt[]{5 } [/tex]
# Fourth[tex]\qquad \sf \dashrightarrow \: \: \sqrt[5]{96 } - \sqrt[5]{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: \: \sqrt[5]{2 {}^{5} \times 3} - \sqrt[5]{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: \: 2\sqrt[5]{3} - \sqrt[5]{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: \: \sqrt[5]{3} [/tex]
# Fifth[tex]\qquad \sf \dashrightarrow \: \: \sqrt[]{75} - \sqrt{27} [/tex]
[tex]\qquad \sf \dashrightarrow \: \: \sqrt[]{3 \times 5 \times 5} - \sqrt{3 \times 3 \times3} [/tex]
[tex]\qquad \sf \dashrightarrow \: 5 \sqrt{3} - 3 \sqrt{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: 2 \sqrt{3} [/tex]
2022
Question 4
20 pts
nts
Linel and line mare parallel lines that are cut by a transversal.
Let mZ1 = (x+97)° and m2 = (2x+32)". What is mZ1?
12
m
2.
55
ооо
162
65
130
Answer: B
Step-by-step explanation:
These are vertical angles, so x+97=2x+32, meaning x=65.
So, the measure of angle 1 = 65 + 97 = 162 degrees
The value of m∠1, given that m∠1 = x + 97 and m∠2 = 2x + 32 is 162° (2nd option)
How to determine the value of m∠1?First, we shall list out the given parameters from the question. This is given below:
m∠1 = (x + 97)° m∠2 = (2x + 32)°Angle 1 (m∠1 ) =?Next, we shall obtain the value of x. Details below:
m∠1 = m∠2 (vertically opposite angle)
x + 97 = 2x + 32
Solving for x, we have:
97 - 32 = 2x - x
65 = x
Thus,
x = 65
Now, we shall obtain the value of m∠1 as follow:
m∠1 = x + 97
x = 65
Therefore,
m∠1 = 65 + 97
= 162°
Thus, the value of m∠1 is 162° (2nd option)
Learn more about vertically opposite angle:
https://brainly.com/question/29747440
#SPJ2
3x+4y=36
Y=-1/2+8
How do I solve this?
Answer:
x = 2
Step-by-step explanation:
3x+4y=36
Y=-1/2+8
Now we substitute y with -1/2+8.
3x + 4(-1/2+8) = 36
3x + 4(7.5) = 36
3x + 30 = 36
3x = 6
x = 2
Have an amazing day!!
Please rate and mark brainliest!
Segments that appear to be tangent are tangent to both circles, and CD=32. Find AC.
Answer:
x=8.4
i looked it up:)
Vbb. Pls help 50 points
Answer:
6468 mm²
Step-by-step explanation:
Given:
21 mm = length of the shortest of the small rectangleLet y = length of the longest of the small rectangleTherefore, the area of the small rectangle is:
= width × length
= 21 × y
= 21y mm²
From inspection of the larger rectangle
longest side length = 4 × 21 = 84 mmshortest side length = (2y + 21) mmTherefore, the area of the larger rectangle is:
= width × length
= 84(2y + 21)
= 168y + 1764 mm²
We know that the area of the larger rectangle is 11 times the area of the smaller rectangle. Therefore,
⇒ 11 small rectangles = larger rectangle
⇒ 11(21y) = 168y + 1764
⇒ 231y = 168y + 1764
⇒ 63y = 1764
⇒ y = 28
Therefore, the missing side length of the smaller rectangle is 28 mm.
Finally, to find the area of the larger rectangle, substitute the found value of y into the found expression for its area:
⇒ area = 168y + 1764
⇒ area = 168(28) + 1764
⇒ area = 4704 + 1764
⇒ area = 6468 mm²
23
Machine A and machine B both make car parts.
Machine A makes 6 parts every 10 minutes.
Machine B makes 13 parts every 15 minutes.
On Monday
machine A makes parts for 12 hours
machine B makes parts for 10 hours
Work out the total number of parts made by the two machines on Monday.
Answer:
A makes 10 parts in 1 hour
B makes 4 parts in 1 hour.
then,
A makes 120 parts in a hour.
B makes 48 parts in a hour
Hope this helps!
Mark Brainlest!!!!!
Step-by-step explanation:
4. Which statement is true for a preimage and its rotated image in the coordinate plane?
A.They are congruent.
B. They are exactly 4 units apart in the coordinate plane.
C. They were rotated around the origin since that is the only point in the plane you can use as the center of rotation.
D. They are two different sizes.
Answer:
C, they are congruent.
Step-by-step explanation:
Rotation only changes the position of the image, not the size. :)
Answer:
C. They were rotated around the origin since that is the only point in the plane you can use as the center of rotation.
explanation:
when you think about it and look at the other problems, they are all going around the center of the grid when rotated, specifically the key word is when rotated, when they are translated they go anywhere they want.
Write the slope-intercept form of the equation of the line that is perpendicular to AB and passes through Point X Show
all work for full credit.
X-4/4=8 Solve this variable on this equation
Answer:
x=9
Step-by-step explanation:
divide 4 by 4 to get 1
x-1=8
9-1=8
Hey there!
x - 4/4 = 8
x - 1 = 8
ADD 1 to BOTH SIDES
x - 1 + 1 = 8 + 1
CANCEL out: -1 + 1 because it give you 0
KEEP: 8 + 1 because it give you the x-value
NEW EQUATION: x = 8 + 1
SIMPLIFY IT!
x = 9
Therefore, your answer is: x = 9
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Solve: log2(3x 8) = 5 which is an equivalent equation? 25 = 3x 8 52 = 3x 8 25 = [log2(3x 8)]2 52 = [log2(3x 8)]5
The value of the equivalent equation will be 32=3x+8
What will be the value of x?It is given in the question that
[tex]\rm Log_2(3x+8)=5[/tex]
Now from the antilog property property
[tex]\rm x=Log_by[/tex] can be written as below
[tex]b^x=y[/tex]
So the value of [tex]\rm Log_2(3x+8)=5[/tex] will be
[tex]2^5=3x+8[/tex]
[tex]3x+8=32[/tex]
Thus the value of the equivalent equation will be 32=3x+8
To know more about Antilog property follow
https://brainly.com/question/24556465
Answer:
I did it on edgeinuity
Step-by-step explanation:
A rectangular piece of paper has an area of 117 square inches and a perimeter of 44 inches. What are the dimensions of the paper?
Answer:
13x9
Step-by-step explanation:
half of perimeret of rectangle L+W
half of perimeter of rectangle = 44/2 = 22
L+W=22
LxW=117
Think of 2 numbers that added =22 and multiplied =117
13+9 =22
13x9 =117
136<5(-2-4b)-6
-5(1-3x)-3>112
-4(3n+2)-6>-86
-120<4(6+3p)+6p
116<-3(1-5n)+2n
Answer:
x<
−97
45
Answer:
b<
−38
5
n>
−22
3
p>
16
3
n>7