Answer:
17.9
Step-by-step explanation:
Use the Pythagorean theorem, c²= a² + b². We can rewrite it as c = √(a² + b²), a=16 and b=8. Plug it in as c = √(16² + 8²) then simplify.
c = √(16² + 8²)
c = √(256 + 64)
c = √320
c≈17.9 (rounded to the nearest tenth)
Will give Brainliest! 10 points!
Provide reasons for the statements of this proof.
Answer:
See Below.
Step-by-step explanation:
Statements: Reasons:
[tex]\displaystyle 1)\, AD\perp BC\text{ and } D\text{ is the midpoint of } BC[/tex] Given
[tex]\displaystyle 2)\, BD\cong CD[/tex] Definition of Midpoint
[tex]\displaystyle 3)\, m\angle ADB=90^\circ \text{ and } m\angle ADC=90^\circ[/tex] Definition of Perp. Lines
[tex]\displaystyle 4)\, m\angle ADB=m\angle ADC[/tex] Substitution
[tex]\displaystyle 5) \angle ADB\cong \angle ADC[/tex] Definition of Congruence
[tex]\displaystyle 6)\, AD\cong AD[/tex] Reflexive Property
[tex]\displaystyle 7)\Delta BDA\cong\Delta CDA[/tex] SAS Congruence
Students and adults purchased tickets for a recent school play. All tickets were sold at
the ticket booth (discounts of any type) were not allowed.
Student tickets cost $8 each, and adult tickets cost $10 each. A total of $1,760 was
collected. 200 tickets were sold.
b. Solve the system you create to find the exact number of student tickets sold and
adult tickets sold.
Answer:
120 student and 80 adult tickets
Step-by-step explanation:
8x + 10y = 1760
x + y = 200
5x + 7y = 42 I need to find the x−and y−intercepts.
Answer:
Y intercept = (0;6)
X intercept = (42/5;0)
PLEASE HELP ASAP PLSSSSS !!!
Answer:
133 answer ---------------------------------------- helpful answer
please help! (listing BRAINLIST and giving points) :)
Answer:
[tex]x=7.8[/tex]
Step-by-step explanation:
In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse.
The angle marked 33 degrees has its opposite side labelled with [tex]x[/tex] and the hypotenuse of the triangle labelled with 12.
Thus, we can set up the following equation to solve for [tex]x[/tex]:
[tex]\tan 33^{\circ}=\frac{x}{12},\\x=12\tan 33^{\circ}=7.79289111837\approx \boxed{7.8}[/tex]
Answer:
Step-by-step explanation:
tan(33°) = x/12
x = 12tan(33°) ≈ 7.79
ACTIVITY 1 Directions: Interpret these circle graphs
A. The pie graph below shows what a normal human body is made of.
Questions:
1. As shown in the graph,what composes the human body?
2. Which makes up the greatest part of the human body? the least?
Step-by-step explanation:
1) it is composed of 20% of fat, 17% of bone, 50% of muscle and 13% others(minerals)
2) muscle makes up the greatest part and the minerals makes up the least.
hope it heals u.
make me brain list Pls.
Simplify the given expression and enter in numerical form.6+5
Answer:
6+5=11
Step-by-step explanation:
6 is added to 5
i am sorry if i am wrong
Find the slope in each line
Meg makes a dot plot for the data 9, 9, 4, 5, 5, 3,
4,5, 3, 8, 8, 5. Where does a gap occur?
The gap consists of the values 6 and 7.
Check out the dot plot below to see what I mean. We have one cluster on the left from 3 to 5. Then another cluster on the right from 8 to 9.
Answer:
The gap is present around 6 & 7
Step-by-step explanation:
Since there is no evidence of dots above 6 & 7, there must have been a freeze in data around then, called a gap.
Please help me please please I really need help please please
A moving company charges $30 plus $0.15 per mile to rent a moving van. Another company charges $15 plus $0.20 per mile to rent the same van. For how many miles will the cost be the same for the two companies? Write and solve an equation.
please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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Answer:
the correct answer is marked
Step-by-step explanation:
The circle with center (h, k) and radius r has equation ...
(x -h)² +(y-k)² = r²
For the given center, that is ...
(x -1)² +(y +1)² = r²
The value of r² can be found by using the given point for x and y, and seeing what value of r² makes the equation true.
(5 -1)² +(7 +1)² = 4² +8² = 16 +64 = 80
So, r² = 80 makes the equation true, and that equation is ...
(x -1)² +(y +1)² = 80
Choose all of the symbols that make the following sentence true.
4 ^0 ___ 5 ^-1
=
<
≥
≤
≠
>
Answer:
≠ and >
Step-by-step explanation:
_________________
Can I get help with this?
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Answer:
y +3 = 1/5x
Step-by-step explanation:
The point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
You have y-intercept point (0, -3) and slope -1/5, so the equation is ...
y -(-3) = -1/5(x -0)
y +3 = -1/5x
What is the value of X
A. x=20
B. x=15
C. x=10
D. x=5
Tamara uses a coupon to save 20% off her purchase at the bookstore. The original cost of Tamara's purchase is d dollars.
Which expressions represent the cost, in dollars, of Tamara's purchase after using the coupon? Choose all that apply.
Answer:
The equation would be d - (d×0.2)
PLEASE HELP!! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT
An item costs S430 before tax, and the sales tax is $17.20.
Find the sales tax rate. Write your answer as a percentage.
Answer:
Step-by-step explanation:
430
x4%
_________
$17.20+ $430= $447.20
Keith is looking at a cliff. He determines that the angle of elevation to the top is 70° from where he is at. 70m away from Keith, Alan estimates the angle between the base of the cliff, himself, and Keith to be 29° while Keith estimates the angle between the base of the cliff, himself, and Alan to be 48°. What is the height, h, of the cliff to the nearest tenth of a metre?
1) 78.8m
2) 83.9m
3) 89.0m
4) 95.7m
This question completely baffled me on my homework, I still haven't done it because I don't even know how to approach it (Since it's a 3D problem)
Please help me out
Also, this homework is due in an hour so I'm starting to sweat
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Answer:
4) 95.7 m
Step-by-step explanation:
The angle at the cliff base between Alan and Keith is ...
B = 180° -29° -48° = 103°
The law of sines will tell you the distance KB from Keith to the cliff base is
KB/sin(A) = KA/sin(B)
KB = KA×sin(A)/sin(B) = (70 m)sin(29°)/sin(103°) ≈ 34.82935 m
The height of the cliff is found from the tangent relation ...
Tan = Opposite/Adjacent
tan(70°) = height/(34.83 m)
height = (34.83 m)tan(70°) = 95.693 m
The height of the cliff is about 95.7 m.
_____
Additional comment
These problems can usually be resolved into two 2-D problems. Here, we can work out the distance we need from Keith to the cliff by considering only the ground plan of the site. Then we can work out the height of the cliff only considering the vertical plane containing Keith and the base of the cliff.
The attachment shows the ground plan triangle KAB.
using data from 2010 and projected to 2020, the population of the United Kingdom (y, in millions) can be approximated by the equation 10.0y-4.55x=581. where x is the number of years after 2000 what is projected population in 2026?
Answer:
The projected population in 2026 is of 699.3 million.
Step-by-step explanation:
Population:
The population, in x years after 2000, is given by the follwing equation:
[tex]y - 4.55x = 581[/tex]
That is:
[tex]y(x) = 4.55x + 581[/tex]
What is projected population in 2026?
2026 - 2000 = 26, so this is y(26).
[tex]y(26) = 4.55(26) + 581 = 699.3[/tex]
The projected population in 2026 is of 699.3 million.
Two functions are shown in the table below f(x) equals -X squared plus 4X +12 And G(x)
equals X +2
Answer:
[tex]x = -2; x = 5[/tex]
Step-by-step explanation:
Given
[tex]f(x) = -x^2 + 4x + 12[/tex]
[tex]g(x) = x +2[/tex]
Required
For what value of x is: [tex]f(x) = g(x)[/tex]
[tex]f(x) = g(x)[/tex] implies that
[tex]-x^2 + 4x + 12 = x + 2[/tex]
Collect like terms
[tex]-x^2 + 4x -x + 12 -2 = 0[/tex]
[tex]-x^2 + 3x + 10 = 0[/tex]
Expand
[tex]-x^2 + 5x-2x + 10 = 0[/tex]
Factorize
[tex]-x(x - 5)-2(x - 5) = 0[/tex]
Factor out x - 5
[tex](-x - 2)(x - 5) = 0[/tex]
Solve for x
[tex]-x - 2 = 0; x - 5 = 0[/tex]
So:
[tex]x = -2; x = 5[/tex]
Jake wants to surprise his parents with a small anniversary party at their favorite restaurant.
It will cost $35.75 per person for dinner, including tip and tax.
His budget for the party is $600.
What is the maximum number of people Jake can have at the party without exceeding his budget?
Answer:
16 people
Step-by-step explanation:
35.75 times 16 is 572, times 17 is 607.75, he only has 600 and he cant have a fraction of a person, so he can have 16 people
If it takes 1074 digits to number the pages of a book starting with page 1. how many pages are in the book? The book has a total of pages.
Answer:
394 pagesStep-by-step explanation:
1- digit numbers:
1 to 9, number of digits = 92- digit numbers:
10 to 99, number of digits = 2(99 - 9) = 1803- digit numbers:
100 to 999, number of digits = 3(999 - 99) = 2700This is more than we have, but we know the number of pages is 3-digit.
Let it be x, then we have:
9 + 180 + 3(x - 99) = 10743(x - 99) = 1074 - 1893(x - 99) = 885x - 99 = 885/3x - 99 = 295x = 295 + 99x = 394the product of 2 numbers, p and q, decreased by 3 times their sum. (as an algebraic expression)
Answer:
3 - (p*q) im not sure lol
Step-by-step explanation:
QUESTION 14 · 1 POINT
Translate the English phrase into an algebraic expression: 6x less than 81xsquared
Answer:
Step-by-step explanation:
81x² - 6x
Answer:
81x² - 6x
Step-by-step explanation:
81x² - 6x
Evaluate the function.
f(x) = 2x2
Find f(-3)
Can anybody answer this?
Answer:
18
Step-by-step explanation:
f(x) = 2x^2
Let x = -3
f(-3) = 2 * (-3)^2
Exponents first
f(-3)=2 *9
f(3) = 18
Answer:
f ( - 3 ) = 18
Step-by-step explanation:
f ( x ) = 2x²
Find f ( - 3)
let , x = - 3
lf ( - 3 ) = 2 ( -3 )²
f ( - 3 ) = 2 × ( - 3 )²
Evaluate the power
f ( -3) = 2 × 9
multiply the numbers
f ( - 3 ) = 18
please answer ASAP (math)
Answer: Undefined
Step-by-step explanation:
Replace x with -5
m(x) = x2 + 4x
n(x) = x
(mn)(x) =
x2 + 4x(x)
(x2 +4x)(x)
Answer:
Answer:
1. B. (x^2 + 4x)(x)
2. A. (x^3+4x^2)
3. 9
4. 0
5. 1
Step-by-step explanation:
Which of the following is a characteristic of a plane
Answer:
I think you meant to add a list of answers but didn't so here's the characteristics of a plane: Flat, two dimensional, extends infinitely, and is assembled about multiple points and lines.
Step-by-step explanation:
Answer:
If you are taking the FLVS test it is "Two endpoints"
Step-by-step explanation:
Just took the test
hope it helps :)
you toss six coins at the same time. how many possible outcomes are there?
64
36
12
6
Answer:
64 outcomes
Step-by-step explanation:
Let the number of coins be n.Let the number of outcomes per coin be X.Given the following data;
Number of coins = 6
Number of outcomes for a single coin = 2
A single coin comprises of a head (H) and a tail (T), thus, the number of outcomes for a single coin is two (2).
To find how many possible outcomes we would have from tossing six coins at the same time, we would use the following formula;
[tex] Number \; of \; outcomes = X^{n} [/tex]
Substituting the values, we have;
Number of outcomes = 2⁶
2⁶ = 2 * 2 * 2 * 2 * 2 * 2
2⁶ = 64
Number of outcomes = 64
Therefore, the number of outcomes for a single coin tossed at the same time is equal to sixty four (64). It would have a total of 32 heads (H) and a total of 32 tails (T).
I need help with #4. Please help. I have to show all work so please explain
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Answer:
5
Step-by-step explanation:
Use the distance formula.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((4 -0)²+(3 -0)²) = √(4² +3²) = √(16 +9) = √25
d = 5
The distance between the two points is 5 units.
_____
Additional comment
The most commonly seen Pythagorean triples are (3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) and their multiples.
In problem 4, once you see that the differences of the coordinates are 3 and 4, you can consult your memory of the (3, 4, 5) Pythagorean triple to recognize the hypotenuse length of a triangle with sides 3 and 4 is 5.
Similarly, in problem 5, you recognize the coordinate differences as 5 and 12, so you know from the (5, 12, 13) Pythagorean triple that the distance will be 13.
