Answer: 22.5
Explanation: from P the radii of length r are perpendicular to xz, xy, and yz and all the same.
if draw it with your compass your see a certain symmetry
call the tangent point on xz Q and the one on xy S
triangle XQP is congruent to XSP and is a right triangle
the two angles at x are 22.5 degrees
so PQ = PS = 4 tan 22.5
find the height of the tree to the nearest foot.
Answer:
height = 50 ft (nearest foot)
Step-by-step explanation:
This creates a right triangle, where:
horizontal leg = 72 ftvertical leg = height of treeangle of elevation (between horizontal leg and hypotenuse) = 34.6°Use the tan trig ratio to find the height.
[tex]\mathsf{\tan\theta=\dfrac{opposite \ side}{adjacent\ side}}[/tex]
[tex]\implies \mathsf{\tan(34.6)=\dfrac{height}{72}}[/tex]
[tex]\implies \mathsf{height=72\tan(34.6)}[/tex]
[tex]\implies \mathsf{height=50 \ ft \ (nearest\ foot)}[/tex]
[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\\ \rm\Rrightarrow tan34.6=\dfrac{x}{72}[/tex]
[tex]\\ \rm\Rrightarrow x=72tan34.6[/tex]
[tex]\\ \rm\Rrightarrow x=72(0.689)[/tex]
[tex]\\ \rm\Rrightarrow x=49.61ft[/tex]
height approximately 50ftA rectangle has a width that is 3 meters more than twice the length. The area of the rectangle is 44 and square. What are the length and the width of the rectangle?
Answer:
8x11/2= 44 it's 44
Step-by-step explanation:
A=44 = LW = (2W-3)W = 2W^2 -3W
2W^2-3W -44 = 0
(2W-11)(W+4) = 0
2W-11 = 0
2W = 11
W = 11/2 = 5 1/2 meters
L=2W-3 = 11-3 = 8
8x11/2= 44
length = 8 m, width = 5 1/2 m
Please help me! This is finding slope btw
Step-by-step explanation:
for number 8. The slope is -3 because the standard form equation is y=mx+c. And we know that m represents your slope.
Hence why it is -3.
For number 10. The slope is 0. I Forgot to write that on the pic
:)
Expand and simplify (2x - 5)(3x - 2)
I got -13x +10? not sure what i’m doing wrong.
Answer:
6x^2 - 19x + 10 is the answer
Step-by-step explanation:
Lets use the FOIL method to expand,
(2x - 5)(3x -2)
2x * 3x + 2x * -2 + -5 * 3x + -5 * -2
This is the expanded version of the expression above!
here is a better way of explaining it,
(2x - 5) is the first equation now lets split it up
now its 2x and -5!
now you just multiply 2x and -5 to the second equation (3x - 2)
makes sense?
Lets Simplify it,
2x * 3x + 2x * -2 + -5 * 3x + -5 * -2
6x^2 - 4x - 15x + 10
6x^2 - 19x + 10
(tip: DON'T FORGET SAY ^2 because there are 2x's in the (2x*3x) part!)
Now you just simplify!
So as a result the answer is,
6x^2 - 19x + 10
Hope this helps :)
Jimmy is having a birthday party at the zoo. The zoio has a fixed fee for birthday parties, plus a fee per person. Jimmy is told the total charge for ten people,including himself, would be 97. 50 and the total charge for 20 people, including himself would be $175. Determine the independent and dependent variable
Answer:
independent: number of personsdependent: chargesStep-by-step explanation:
The scenario describes charges as being dependent on the number of persons. That means the independent variable is the number of persons, and the dependent variable is the total charge.
(When we say "A depends on B", that automatically defines A as being the dependent variable, and B the independent variable.)
__
Additional comment
Perhaps you also want to know the relationship between the charges c and the number of persons p. That will be ...
c = 7.80p +19.00
You know the rate per person from the fact that adding 10 people to the party raises the cost by $78. Then the 10-person charge includes a fixed fee of $97 -78 = $19.
there are 45 boys on the track team. About 25% of the boys were on the team last year. About how many boys were on the track team last year
Answer:
about 11 boys were on the track team last year.
The expression for the income of an amusement park is given, where x is the entry price: 96. - 4c? Aside from free entry, what entry price will result in no income? O S4 0 $12 0 $24 O $96
The income of the amusement park is a function of the price of the ticket
The entry price that will result in no income is $24
How to determine the entry price that results in no incomeThe expression for the income is given as:
[tex]96x - 4x^2[/tex]
When the income is 0, we have the following equation
[tex]96x - 4x^2 = 0[/tex]
Factor out 4x
[tex]4x(24 - x) = 0[/tex]
Split the equation
4x = 0 or 24 - x = 0
Solve for x
x = 0 or x = 24
This means that, the entry price that will result in no income is $24
Read more about income and expenses at:
https://brainly.com/question/13628349
Ms. McCormick keeps a rectangular recycling bin for used paper in her classroom. The area of the bottom of the bin is 400 square inches. Paper completely fills the bin to a height of 17 inches. What is the volume of paper in the recycling bin?
According to the dimensions given, the volume of paper in the recycling bin is of 6800 cubic inches.
What is the volume of a rectangular prism?It is given by the multiplication of the base area by the height, that is:
[tex]V = S_bh[/tex]
In this problem, we have that the measures in square inches and inches, respectively, are given by:
[tex]S_b = 400, h = 17[/tex]
Hence:
[tex]V = 400 \times 17 = 6800[/tex]
The volume of paper in the recycling bin is of 6800 cubic inches.
More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528
Answer:
6800
Step-by-step explanation:
If an island's only residents are penguins and bears, and if there are 24 heads and 64 feet on the island, how many penguins and how many bears are
on the island
Penguins (P): 1 H + 2 Ft
Bears (B): 1 H + 4Ft
Heads Equation: 1P + 1B = 14 → -2(1P + 1B = 14) → -2P - 2B = -28
Feet Equation: 2P + 4B = 30 → 1(2P + 4B = 30) → 2P + 4B = 30
2B = 2
B = 1
Heads Equation: 1P + 1B = 14 → 1P + 1(1) = 14 → P = 13
Answer: 13 Penguins and 1 Bear
Find the scale factor for the dilation shown.
Answer:
2
Step-by-step explanation:
The side length of the preimage is 4.5 and the side length of the image is 9. Since scale factor is image/preimage, the scale factor is 9/4.5 = 2
i dont really understand this and i need it done by the end of the dday
Answer:
1.
A: GI= 60
B: MH= 14
C: IK= 23
D: HI= 46
E: MG= 24
2.
A: TU= 38
B: VY= 17
C: UZ= 15
D: WV= 15
E: TV= 30
Step-by-step explanation:
This probally isnt all right but most of it most likely is.
Please pe please please please please please help me
Answer:
y =mx
Step-by-step explanation:
The second one is for the gradient
The third one is pythogras theorm
The last one is for the slope of a line(i'm not that sure about this one, sorry if its wrong)
Eva is solving the equation 4(x+3/2)=8. She says, “I can subtract 3/2 from each side to get and then divide by 4 to get x=13/8. Dakota says, “I think you made a mistake.” Describe the mistake that Eva made.
what is the problem with Carter's Budget?,,
Answer: carter has not saved any money
Step-by-step explanation:
(please help!) Find the surface area of the prism.
A) Jose and Anna are planning a Halloween Party. They are making goodie bags and have 30
Lollipops and 42 KitKat bars. If they want the same amount of candy in each goodie bag, what
the greatest number of goodie bags they can make?
B) How many lollipops and KitKat bars will be in each goodie bag?
C) Using the distributive property, factor the sun of terms 30 and 42 as a product of the GCF and a sum.
D) John and his two friends are buying tickets to the Halloween party. Each tickets cost $2.75. They paid with a $50.00 bill, what is their change?
Answer:
6 Lollipops in 5 bags and 6 KitKat Bars in 7 bags
Step-by-step explanation: Its 6 x 5 which equals 30 and 6 x 7 that equals 42. Hope it's correct :)
Two number whose product is -168 and sum is -13
Answer:
-21 and 8
Step-by-step explanation:
-21 × 8 = -168 and -21 + 8 = -13
Hope this helps!
Jacques deposited $1,900 into an account that earns 4% interest compounded semiannually. After t years, Jacques has $3,875. 79 in the account. Assuming he made no additional deposits or withdrawals, how long was the money in the account?.
Answer:
T=50.99
Step-by-step explanation:
Given:
I=3,875.78
P=1,900
R=4% I.e 4/100 , 0.04
T=?
I=PRT
3,875.79=($1,900)(0.04)t
3,875.79=76t
3,875.79/76= t
T=50.99
If I have 1 apple, and I get 2 apples, how many apples do I have
Answer:
you have 1
you get 2
2+1=3
You now have 3 apples :)
Hey!
you have 3 apples.
2+1 is 3.
Find the final
price $
laptop with 5% sales tax
5
of a $719.99
Answer:
■ Sales tax: $36.00
■ Cost/Price before ST: $719.99
■ Total Cost/Price including ST: $755.99
Step-by-step explanation:
Answer: $755.99
Step-by-step explanation: The first step in finding how much an item or product costs with tax is to take the price of the product and multiply it by the percentage of sales tax to find out how much the tax costs. The next step is to take this cost of the tax and add it to the original price of the product. This gives you your final cost. This gives us the following equations.
In this problem the sales tax is 5%, which is equal to 0.05
(719.99) (0.05) = 35.9995
35 + 719.99 = 755.9895
The answer we get from the equations is 755.9895. Rounding to the nearest penny, or hundredth space, gives us our final answer of $755.99
How could you use subtraction to find the area of a figure
Answer:
https://brainly.com/question/7699717
Step-by-step explanation:
Cathy and iris are planning trips to nine countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip,how many ways are there?
Cathy and Iris have 259,459,200 ways to skip countries.
Data;
Number of countries they are planning to visit = 9Number of countries they would like to visit = 13CombinationTo solve this problem, we would have to use a mathematical procedure known as combination.
Let us calculate the number of countries that would have to skip.
[tex]13 - 9 = 4[/tex]
To decide which country they have to skip, it would be 4 out of 13.
[tex]x = ^1^3C_4 = \frac{13!}{4!}[/tex]
Let's solve this
[tex]\frac{13!}{4!} = \frac{13*12*11*10*9*8*7*6*5*4*3*2*1}{4*3*2*1}\\ \frac{13!}{4!} = 13*12*11*10*9*8*7*6*5 = 259459200 ways[/tex]
Cathy and Iris have 259,459,200 ways to skip countries.
Learn more on combination here;
https://brainly.com/question/12468032
Two containers designed to hold water are side by side, both in the shape of a
cylinder. Container A has a radius of 13 feet and a height of 13 feet. Container B has a
radius of 10 feet and a height of 18 feet. Container A is full of water and the water is
pumped into Container B until Conainter B is completely full.
After the pumping is complete, what is the volume of water remaining in Container A,
to the nearest tenth of a cubic foot?
Cylinder A can hold 6902.08 ft^3
Cylinder B can hold 5654.87 ft^3
6902.08 - 5654.87 = 1247.21
The amount that will be left over in container A is 1247.21
Answer:
B
Step-by-step explanation:
The price per mp3 download 5 years ago was $0.99. Now, each mp3 download costs $1.29. Which statement is true?
Answer:
inflation?
Step-by-step explanation:
nothing here
Answer:
that would be an example of inflation.
I noticed your question was not complete, so I hope this helps you as much as possible.
The tree in Donnas backyard is 8.6 m high. How high is it in centimeters?
A forest ranger collected data about the rainfall in a forest, in inches, on consecutive days of a month. His data is shown using the dot plot. Create a box plot to represent the data. dot plot titled Monthly Rainfall and number line from 2 to 3 in increments of 1 tenth labeled Rainfall (in inches) with zero dots over 2, zero dots over 2 and 1 tenth, zero dots over 2 and 2 tenths, 1 dot over 2 and 3 tenths, 2 dots over 2 and 4 tenths, 1 dot over 2 and 5 tenths, 2 dots over 2 and 6 tenths, 2 dots over 2 and 7 tenths, 2 dots over 2 and 8 tenths, zero dots over 2 and 9 tenths, and zero dots over 3 box plot with minimum value 2 and 3 tenths, lower quartile 2 and 4 tenths, median 2 and 6 tenths, upper quartile 2 and 7 tenths, and maximum value 2 and 8 tenths box plot with minimum value 2 and 2 tenths, lower quartile 2 and 4 tenths, median 2 and 6 tenths, upper quartile 2 and 7 tenths, and maximum value 2 and 8 tenths box plot with minimum value 2 and 3 tenths, lower quartile 2 and 4 tenths, median 2 and 5 tenths, upper quartile 2 and 7 tenths, and maximum value 2 and 8 tenths box plot with minimum value 2 and 2 tenths, lower quartile 2 and 4 tenths, median 2 and 5 tenths, upper quartile 2 and 6 tenths, and maximum value 2 and 8 tenths
The box plot showing the five-number summary of the data in the dot plot is shown in the image attached below (see attachment).
What is a Box Plot?A box plot shows the five-number summary of a data distribution which includes:
Minimum valueMaximum valueMedianUpper quartile (Q3)Lower quartile (Q1)To create a a box plot for the data, we need to state out each data point given in the dot plot, which are:
2.3, 2.4, 2.4, 2.5, 2.6, 2.6, 2.7, 2.7, 2.8, 2.8
The five-number summary of the data points stated above would be:
Minimum value - 2.3Maximum value - 2.8Median - 2.6Upper quartile (Q3) - 2.7Lower quartile (Q1) - 2.4Therefore, the box plot showing the five-number summary of the data in the dot plot is shown in the image attached below (see attachment).
Learn more about box plot on:
https://brainly.com/question/14277132
Answer:
other guy is right
Step-by-step explanation:
Solve this quickly please!!
Answer:
Step-by-step explanation: we will first work out a
so 23 is the hypotenuse
a is the opposite
so what we need to do is 46sin(23) and that will give you 17.97 cm
next we will work out b
b is the adjacent
23 is the hypotenuse
so in this case we must do 46cos(23) and that will give you 42.34
last, we will work out B
a is 17.97 cm and its the adjacent
23 is the hypotenuse
so we do sin-1(17.97/23)= 51.38
ali and beth divide £35 in the ratio of 2:5 what do they get
Ali gets £10
Beth gets £25
Step-by-step explanation:
The amount is divided into 7 equal parts since 2+5=7.
since Ali's name comes first, he gets 2 of the parts as the 2 is the first number in the ratio. Beth gets 5 parts, since her name is the second.
share the £35 between the 7 parts by dividing 35 by 7.
35÷7=5
Ali gets 5× £2= £10
Beth gets 5×£5 =£25
5×5=25 (Beth's portion)
find the volume of the cone
The volume of the cone is [tex]\frac{1}{3} \pi r^{2} h[/tex]
r: radius --> 3fth: height --> 12ft [tex]\pi\\[/tex] = 3.14Volume = [tex]\frac{1}{3} \pi *(3)^{2} *12 = 113.04ft^3[/tex]
Hope that helps!
calculate the area of the figure below
Answer:
164 cm²
Step-by-step explanation:
Take the 2 shapes and find the areas
Triangle area = (bh)/2
13 × 8 × 0.5 = 52
Rectangle area = 16 × 7 = 112
Add up the areas
112 + 52 = 164
Answer:
136 cm²
Step-by-step explanation:
The composite figure is made up of a triangle and a rectangle.
Area of the triangle
[tex]\boxed{\begin{aligned}\textsf{Area of a triangle}&=\dfrac{1}{2} \times \sf base \times height\\\\ \implies \textsf{Area of $\triangle ABD$}&=\dfrac{1}{2} \times BD \times AB\\&=\dfrac{1}{2} \times (16-8) \times (13-7)\\&=\dfrac{1}{2} \times 8 \times 6\\&=4 \times 6\\&=24\; \sf cm^2\end{aligned}}[/tex]
Area of the rectangle
[tex]\boxed{\begin{aligned}\textsf{Area of a rectangle}&=\sf width \times length\\\\ \implies \textsf{Area of rectangle $BCFE$}&= EF \times CF\\&=7 \times 16\\&=112\; \sf cm^2\end{aligned}}[/tex]
Therefore, the area of the composite figure is:
[tex]\boxed{\begin{aligned}\textsf{Area of the composite figure}&=\sf Triangle + Rectangle\\ & = 24 + 112\\&=136\; \sf cm^2\end{aligned}}[/tex]