Answer:
10
Step-by-step explanation:
There's probably a lot of ways you could solve this. I think what I would do is find the top angle of the big triangle first because it will be the same as the angle accross from it in the little triangle. We'll call this angle X1 for the big triangle and X2 for the little triangle.
X1 = X2
TAN(X1) = opposite/adjacent
TAN(X1) = 50/40
X1 = CoTAN(50/40)
X1 = 51.34 = X2
TAN(X2) = d/8
TAN(51.34) = d/8
d = TAN(51.34) * 8
d = 10
If you're unfamiliar with trig functions you could also use a proportion.
[tex]\frac{50}{40} =\frac{d}{8}[/tex]
cross multiply to get
400 = d*40
divide by 40
d = 10
Now that I look at it, that's probably the way they want you to do it, but as you see, it works either way!
Artem drives 12.6 miles in 12 minutes.
He passes a sign which gives the speed limit as 50 mph.
By how much, in mph, did Artem's average speed exceed the speed limit?
Answer:
18 mph
Step-by-step explanation:
12.6 × 5 =68.0. 68 - 50 = 18
Please help, again. Once again, first come first serve for brainliest.
Find the measure of XY. Assume that segments that appear to be tangent are tangent. Round your final answer to the nearest tenth, if necessary.
Answer:
Solution given:
7x-29=2x+16[length from the circumference of circle is equal to same point]
7x-2x=16+29
5x=45
x=45/5=9
now.
XY=2×9+16=18+16=34 is your answer
The measure of tangent XY is 34.
What is tangent on a circle?If two tangents are drawn to a circle from an external point, then they are equal in length.
This property is often used in geometry problems to find the length of a tangent segment or to solve for an unknown variable.
We have,
The two tangents in a circle are equal.
So,
2x + 16 = 7x - 29
Solve for x.
2x + 16 = 7x - 29
7x - 2x = 16 + 29
5x = 45
x = 9
Now,
XY
= 2x + 16
= 2 x 9 + 16
= 18 + 16
= 34
Thus,
The measure of XY is 34.
Learn more about tangent on a circle here:
https://brainly.com/question/23265136
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Find the mean, median, and mode(s) of the data with and without the outlier.
45, 52, 17, 63, 57, 42, 54, 58
The part that I got confused was the outlier
Pls help, question on picture, will do brainliest if right
no links!!!!!
Emily is blocking off several rooms in a hotel for guests coming to her wedding. The hotel can reserve small rooms that can hold 2 people, and large rooms that can hold 3 people. Emily booked a total of 15 rooms which can accommodate 36 guests altogether. Graphically solve a system of equations in order to determine the number of small rooms reserved,
Answer: 9.
Step-by-step explanation:
6 large rooms which will add up to 18
9 small rooms which will also add up to 18 totaling the 36 guests.
The no. of small and large rooms in the hotel are 9 and 6 respectively.
What is a linear equation?A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.
Given, Emily is blocking off several rooms in a hotel for guests coming to her wedding.
Let us assume that small rooms be x and large rooms to be y.
Emily booked a total of 15 rooms which is x + y = 15...(i).
which can accommodate 36 guests altogether which is 2x + 3y = 36...(ii)
Now if we multiply eqn(i) by 2 it'll be 2x + 2y = 30...(iii)
Now subtracting eqn(iii) from eqn(ii) we get y = 6.
substituting the value of y in eqn(iii) we get x = 9.
So, the number of small rooms is 9 and no. of large rooms is 6.
learn more about linear equations here :
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End of Module 4 Assessment
Answer:
where's the question?
Step-by-step explanation:
is it a question?
Answer:
whats the question?
Step-by-step explanation:
guys please help me with this question, I’d appreciate it a lot
Answer:
540
Step-by-step explanation:
area of trapezium is b×h
Answer:
540 Sq m
Step-by-step explanation:
Area of parallelogram EFGH
= base * height
= 30 * 18
= 540 Sq m
List 3 responsibilities that a consumer has when making a purchase.
Answer:
check receipt, know the return policy, read the fine print.
Step-by-step explanation:
The responsibilities of a consumer includes check receipt, know the return policy, read the fine print.
Responsibility of a ConsumerEvery consumer have basic responsibility they need to adhere to when making a purchase. This is done to protect their right via consumer laws and these responsibilities includes
check the receipt of purchase know the return policyread the fine print.When a consumer makes a purchase, s/he is required to check the receipt in order to avoid over billing or charges from done intentionally or not. Knowing the return policy and reading the fine print would guide you in the use of the product.
Learn more on responsibility of a consumer here;
https://brainly.com/question/380037
If sintheta = cos theta then the value of acute angle is
Answer:
45 degrees
Step-by-step explanation:
Here, we want to get the value of the acute angle
From the question, we have it that the sin of the acute angle equals its cosine
Recall;
cos A = sin (90-A)
Hence, if A is 45, then Cos A and Sine A will be the same
This means the value of theta which is the acute angle is 45 degrees
Please help me
Neil is going to a bookstore 45 miles away. The bridge was closed on the way back, so
he had to take an alternate route and had to drive 15 mph slower, which make the trip
back take 7 minutes longer. How fast was he going on the way to the bookstore?
Answer:
35 mph
Step-by-step explanation:
As you might have learned in your physics class, the average speed of a car in mph is 50. You should write this down on some paper.
After writing it down, we need to look at what the problem is asking us, so we don't get confused. " How fast was he going on the way to the bookstore?"
This means that we need to calculate his mph speed on the way to the bookstore by subtracting something.
50 mph=Average
Alternate Route= -15
After you have written THAT down in your notes, you need to ask yourself,
"What is 50-15?"
Calculating 50-15 will make the "15 mph slower" show up and calculating that with the average will get you your answer.
50-15 is 35
anyone know the answer?
Question 1
1 pts
What is the value of x in the equation shown below?
2(x + 8) - 4x = 10x + 4
RENA
Answer: 1
Step-by-step explanation:
I have a 30% off Kohl’s coupon!!! I find a pair of jeans for $29. What would my cost be with the 30% off?
Answer:
$20.30 plus tax
Step-by-step explanation:
You multiply 28 x .30 and that is your discount.
Answer:
$20.30
Step-by-step explanation:
please help me tysm !!
Question : In the given figure , ∆ APB and ∆ AQC are equilateral triangles. Prove that PC = BQ.
~Thanks in advance ! <3
Answer:
See Below.
Step-by-step explanation:
We are given that ΔAPB and ΔAQC are equilateral triangles.
And we want to prove that PC = BQ.
Since ΔAPB and ΔAQC are equilateral triangles, this means that:
[tex]PA\cong AB\cong BP\text{ and } QA\cong AC\cong CQ[/tex]
Likewise:
[tex]\angle P\cong \angle PAB\cong \angle ABP\cong Q\cong \angle QAC\cong\angle ACQ[/tex]
Since they all measure 60°.
Note that ∠PAC is the addition of the angles ∠PAB and ∠BAC. So:
[tex]m\angle PAC=m\angle PAB+m\angle BAC[/tex]
Likewise:
[tex]m\angle QAB=m\angle QAC+m\angle BAC[/tex]
Since ∠QAC ≅ ∠PAB:
[tex]m\angle PAC=m\angle QAC+m\angle BAC[/tex]
And by substitution:
[tex]m\angle PAC=m\angle QAB[/tex]
Thus:
[tex]\angle PAC\cong \angle QAB[/tex]
Then by SAS Congruence:
[tex]\Delta PAC\cong \Delta BAQ[/tex]
And by CPCTC:
[tex]PC\cong BQ[/tex]
Answer:
Step-by-step explanation:
To prove PC = BQ, we need to prove triangle APC and ABQ are congruent.
AP = AB as they are part of equilateral triangle APB
AC = AQ as they are part of equilateral triangle AQC
Angle PAC = Angle PAB + Angle BAC = 60 + Angle BAC
Angle BAQ = Angle QAC + Angle BAC = 60 + Angle BAC = Angle PAC
By SAS, triangle APC and ABQ are congruent and therefore
PC = BQ
-2 (4d-1)=26 how to solve plz
Answer:
-3 = D
Step-by-step explanation:
A really smart freind of mine says this is the answer.
Can someone please help me with math.
Answer:
C
Step-by-step explanation:
because d + Q = 19 is just counting the coins, not the monetary value
and .25q + .10d signs values per coin type.
how to solve for x
7/4x - 3 = 2 + 9/2x
Answer:
x = -20/11
Step-by-step explanation:
and how -(11 x)/4 - 5 = 0
1/4 (7 x - 12) = 1/2 (9 x + 4)
hope this helps
Answer:
X = 11/20
Step-by-step explanation:
7/4x-3=2+9/2x
We move all terms to the left:
7/4x-3-(2+9/2x)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
Domain of the equation: 2x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
7/4x-(9/2x+2)-3=0
We get rid of parentheses
7/4x-9/2x-2-3=0
We calculate fractions
14x/8x^2+(-36x)/8x^2-2-3=0
We add all the numbers together, and all the variables
14x/8x^2+(-36x)/8x^2-5=0
We multiply all the terms by the denominator
14x+(-36x)-5*8x^2=0
Wy multiply elements
-40x^2+14x+(-36x)=0
We get rid of parentheses
-40x^2+14x-36x=0
We add all the numbers together, and all the variables
-40x^2-22x=0
a = -40; b = -22; c = 0;
Δ = b2-4ac
Δ = -222-4·(-40)·0
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
x1=−b−Δ√2ax2=−b+Δ√2a
Δ−−√=484−−−√=22
x1=−b−Δ√2a=−(−22)−222∗−40=0−80=0
x2=−b+Δ√2a=−(−22)+222∗−40=44−80=−11/20
wright the ratio in simplest form 1/3
Answer:
1/3
Step-by-step explanation:
(2-1/2)(3-1/3)(4-1/4)
Answer: 1/4
Step-by-step explanation:
2-1/2 ==> 1/2
3-1/3 ==> 2/3
4-1/4 ==> 3/4
1/2 x 2/3 x 3/4 = 6/24
*Reduce 6/24*
1/4
whats y⁵ ×y im confused lol pls respond to this
Answer:
5y^5
Step-by-step explanation:
there is no real solution. really i just simplified. if you wanted a real answer y would have to be giving. if not then this is all the question is asking. for you to simplify
Tara is hosting a party. She wants to buy some invitations. She has £50 to spend in either shop 1 or shop 2. What is the maximum number of invitations she can buy from each shop?
A pair of basketball shoes originally priced at $120.00 was markdown by 10%. Explain in writing (typing) how to find the amount of the markdown then explain how to find the new price for the shoes.
Step-by-step explanation:
B.shoes=$120
%D=10%
%D=10%×120÷100=$12
DISCOUNT =$12 S.P=M.P-D=120-12 =$1090.5(r+2.75) = 30.5(r+2.75)=3
Answer:
3.25 and -2.651639344262295...
Step-by-step explanation:
if 0.5(r + 2.75) = 3, then r = 3.25
if 30.5(r + 2.75) = 3, then r = -2.651639344262295...
I would appreciate Brainliest, but no worries.
Answer:
3.25
Step-by-step explanation:
a cylinder has a height of 40 ft and a radius of 10 ft. can its volume be 10 ft? why or why not?
Answer:
Volume of cylinder = 12,560 feet³
Step-by-step explanation:
Given:
Height of cylinder = 40 ft
Radius of cylinder = 10 ft
Find:
Can its volume be 10 ft ?
Computation:
Volume of cylinder = πr²h
Volume of cylinder = (22/7)(10)²(40)
Volume of cylinder = (3.14)(10)²(40)
Volume of cylinder = (3.14)(100)(40)
Volume of cylinder = 12,560 feet³
Volume of this cylinder never be 10 feet
Which of the following is equivalent to
4x2y - 2y2x - 5xy
Select one:
a. -2x2y - 5xy + 4xy2
b. 2xy2 - 5xy + 4x2y
c. -2xy2 + 5xy + 4x2y
d. -2xy2 - 5xy + 4x2y
e. 2x2y - 5xy
Answer:
1 Simplify 4x\times 2y4x×2y to 8xy8xy.
8xy-2y\times 2x-5xy
8xy−2y×2x−5xy
2 Simplify 2y\times 2x2y×2x to 4yx4yx.
8xy-4yx-5xy
8xy−4yx−5xy
3 Simplify.
-xy
−xy
Step-by-step explanation:
please help!!!!!!!!....
Answer:
Area:12.5663706 Circumference: 12.5663706
Step-by-step explanation:
I'm stuck with the answer....can someone help me?
Step-by-step explanation:
all the fractions should have the same bottom or denominator
so I multiplied the bottom numbers together which is 140
at the top I multiplied 3 x35, 2x28 and 20x1
added them together and got
181/140
HELP PLEASE, NO FILES OR LINKS PLEASE
Thomas is going to deposit $840 in an account that earns 7.5% interest compounded annually. His wife Sheril will deposit $1,250 in an account that earns 6.9% simple interest each year. They deposit the money on the same dayand make no additional deposits or withdrawals for the accounts. What statement is true concerning Thomas' and Sheril's account balance after 5 years?
a
Thomas' account will have about $475.32 less than Sheril's account.
b
Sheril's account will have about $475.32 less than Thomas' account.
c
Thomas' account will have about $431.25 less than Sheril's account.
d
Sheril's account will have about $431.25 less than Thomas' account.
Answer:
A
Step-by-step explanation:
I am to determine the future value of Thomas' deposit with annual compounding
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
840 x (1.075)^5 = 1205.93
I am to determine the future value of Sherill's deposit in 5 years using simple interest
The amount that would be in the account = amount deposited + interest earned on deposit
interest earned on deposit can be determined by determining the simple interest
Simple interest = amount deposited x time x interest rate
1250 x 0.069 x 5 = 431.25
Amount that would be in her account after 5 years = 1250 + 431.25 = 1681.25
Sheril's money is higher by - 1681.25 - 1205.93 = 475.32