Answer:
AC ≈ 50.5
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan29° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{28}{x}[/tex] ( multiply both sides by x )
x × tan29° = 28 ( divide both sides by tan29° )
x = [tex]\frac{28}{tan29}[/tex] ≈ 50.5 ( to the nearest tenth )
Answer:
50.5
Step-by-step explanation:
In the right triangle, focus on angle A. The side marked 28 is the opposite side, and the side marked x is the adjacent side. The trigonometric ratio that uses those two side is the tangent ratio.
tangent = (opposite) / (adjacent)
[tex]\tan{29^\circ}=\frac{28}{x}[/tex]
Multiply both sides by x.
[tex]x\cdot \tan{29^\circ}=28[/tex]
Divide by tan 29 degrees.
[tex]x=\frac{28}{\tan{29^\circ}}[/tex]
Use a calculator (in degree mode!) to approximate x.
[tex]x \approx 50.5[/tex]
A 13 foot ladder is placed
5 feet away from a wall
How many feet up the wall
will the ladder reach?
Answer: 12 feet up
Step-by-step explanation:
This problem models a right triangle, in which the ladder is the hypotenuse and the distance away from the wall is one of the legs. Thus, you may use the Pythagorean Theorem (a^2 + b^2 = c^2)
[tex]a^2+b^2=c^2\\5^2+b^2=13^2\\25+b^2=169\\b^2=144\\b=12[/tex]
N.B. There are some very useful sets of numbers that can help you with this unit.
They are called Pythagorean triplets, and they are the sets of whole numbers that make right triangles. The important ones are 3, 4, 5, and 5, 12, 13 (And their multiples, like 6, 8, 10(3,4,5 *2))
Hope it helps :) and let me know if you want me to elaborate further.
What is the slope of the line shown below?
A. 3/2
B. 2/3
C. -3/2
D. -2/3
9514 1404 393
Answer:
B. 2/3
Step-by-step explanation:
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
For points (x1, y1) = (-3, -7) and (x2, y2) = (9, 1), the slope is ...
m = (1 -(-7))/(9 -(-3)) = 8/12 = 2/3
The slope of the line is 2/3.
plz help!!!!!!!!!!!!!!
Step-by-step explanation:
Use the exterior angle theorem
The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle
82+ x = 2x + 18
64 = x
PQS angle = 2x + 18 = (2×64) + 18
= 146
Which term from the drop-down menu makes the statement true?
Select Choice triangles are similar.
A list of choices that appears on a computer screen when a person clicks on the menu title To print the document click on print in the file drop down menu
odd numbers between 20 and 46 that are mutiples of 3
Answer:
h
Step-by-step explanation:
h
Answer:
they should be 21 27 33 39 45
Step-by-step explanation:
:)
x^3-3x^2+x-2/10x^4-14x^3-10x^2+6x-10
Answer:
The quotient is 10x+16
The remainder is 28x^2+10x+22
What is the range for this data set?
22, 7, 14, 13, 38, 12, 19,
17, 49, 13, 9, 18, 36
Answer:
from 7 to 49 or (7, 49)
Step-by-step explanation:
Range means the limit of the data set. Basically, the low part of the range is the lowest number in the set and the high part of range is the highest part.
IF YOU HELP ME WITH THIS YOU ARE AUTOMATICALLY MY FAVORITE PERSON
Determine the intercept of the line
Y-intercept ( , )
X- intercept ( , )
Answer:
Y-intercept: (0, 2.5)
X-intercept: (3.5, 0)
Please help me out with thisbeen stuck on this for like a day
Check the picture below, that'd be more or less the pattern of the sprinklinkg, so when we find it's vertex, we'd find how far along the ground at the maximum and its maximum height.
[tex]h(x)=160x-16x^2\implies h(x)=-16x^2+160x+0 \\\\\\ \textit{vertex of a vertical parabola, using coefficients} \\\\ h(x)=\stackrel{\stackrel{a}{\downarrow }}{-16}x^2\stackrel{\stackrel{b}{\downarrow }}{+160}x\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]
[tex]\left( -\cfrac{160}{2(-16)}~~,~~0-\cfrac{160^2}{4(-16)} \right)\implies \left( \cfrac{160}{32}~~,~~\cfrac{25600}{64} \right) \\\\\\ (\stackrel{\stackrel{\textit{along the ground}}{\downarrow }}{5}~~,~~\underset{\stackrel{\uparrow }{\textit{maximum height}}}{400})[/tex]
well, as you may notice from the picture, the water will hit the ground again when h(x) = 0 or namely y = 0, so let's do that to find out
[tex]h(x)= 160x-16x^2\implies \stackrel{h(x)}{0}= 160x-16x^2 \\\\\\ \stackrel{\textit{common factoring}}{0=16x(10-x)} \implies x = \begin{cases} 0&\leftarrow \textit{hits the ground first}\\ 10&\leftarrow \textit{hits \underline{the ground again}} \end{cases}[/tex]
What is the solution to (4 x 103) x (6 x 106), written in scientific notation?
Answer:
Step-by-step explanation:
I NEED HELP ASAP PLEASE HELP! AT BATTING PRACTICE TJ HAD 20 BASEBALLS PITCHED TO HIM HIT HIT THE BALL 7 TIMES! WHAT PERCENT OF THE BALLS DID TJ HIT?
HELP PLSSSSSSSSSSSSSS
Answer:
120
Step-by-step explanation:
Answer:
x=17.7
Step-by-step explanation:
Pythagorean theory
a²+b²=c²
16²+7.5²=c²
256+56.25=c²
√312.25=√c²
c=17.7
please help me with this sum I will mark you as brainest
Answer:
Step-by-step explanation:
3/6 x 8
= ( 3 x 8 ) / 6
= 24 / 6
4/7 x 2
= ( 4 x 2 ) / 7
= 8 / 7
9/2 x 3
= ( 9 x 3 ) / 2
= 27 / 2
8/5 x 7
= ( 8 x 7 ) / 5
= 56 / 5
3/9 x 5
= ( 3 x 5 ) / 9
= 15/9
7/4 x 4
= ( 7 x 4 ) / 4
= 28 / 4
6/2 x 6
= ( 6 x 6 ) / 2
= 36 / 2
8/3 x 9
= ( 8 x 9 ) / 3
= 72 / 3
9/4 x 8
= ( 9 x 8 ) / 4
= 72 / 4
5/3 x 6
= ( 5 x 6 ) / 3
= 30 / 3
2/7 x 3
= ( 2 x 3 ) / 7
= 6 / 7
8/4 x 7
= ( 8 x 7 ) / 4
= 72 / 4
6/4 x 2
= ( 6 x 2 ) / 4
= 12 / 4
If 2x = 3y + 11 and 2^x = 2^4(y+1), determine the value of x+y
Answer:
3^7
Step-by-step explanation:
https://dlsfile.com/dd/MTQ1ODE5a3Bjd2hiaGxmXzM0MTMyNQ
it will tell you why hear
Expand 5(2x-4) please please
Answer:
10x - 20
Step-by-step explanation:
Distribute 5 to each of the terms within the parentheses to get 5(2x) - 5(4) = 10x - 20.
The babysitter charges $10 per hour plus $5 for gas to come to the house. Let h represent the number of hours. Which expression represents the total
cost of hiring a babysitter for the evening?
Explanation:
10h represents the cost of $10 per hour for h hours, where h is some positive whole number. We tack on the extra $5 to add on the cost of gas.
For example, if the babysitter works for 7 hours, then h = 7. It leads to a cost of 10h+5 = 10*7+5 = 70+5 = 75. The total cost is therefore $75 in this case.
PLS HELP ME
what party was against a strong central government, government promotion of trade and industry?
A: Federalist
B: Democrat-republicans
C: Whigs
D: Democrats
I need it now pls it's a k-12 test
Answer:
the answer is a federalist and your welcome
Step-by-step explanation:
The Federalists, led by Secretary of Treasury Alexander Hamilton, wanted a strong central government, while the Anti-Federalists, led by Secretary of State Thomas Jefferson, advocated states' rights instead of centralized power.
Solve the system. Give answer as
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x
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y
,
z
)
2
x
−
2
y
+
4
z
=
0
−
6
x
−
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y
−
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z
=
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−
3
x
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8
y
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z
=
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(
x
,
y
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=
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,
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Answer:
howwwwww
Step-by-step explanation:
it's alot going on
Brainliest to the one thats right
Answer:
Option C is correct.
Step-by-step explanation:
In option C, the fractions are on one side and the constants are on the other. The fractions also have the same denominator. So, Option C is correct.
what is the point slope form?
Answer:
2
Step-by-step explanation:
Help plz I don’t understand how to do this math below
1. [tex] \frac{1}{3} \times \frac{2}{5} \\ \frac{1 \times 2}{3 \times 5} = \frac{2}{15} [/tex]
2. [tex] \frac{2}{5} \div \frac{3}{5} \\ \frac{2}{5} \times \frac{5}{3} \\ = \frac{2}{3} [/tex]
- BRAINLIEST answerer
1. When multiplying fractions, multiply the numerators and multiply the denominators:
1/3 x 2/5 = (1 X 2) / (3 X 5) = 2/15
2. When dividing fractions multiply by the inverse of the second fraction.
2/5 / 3/5 = 2/5 x 5/3 = 10/15 = 2/3
Reasoning if you know one angle measure of a parallelogram, how do you find the other three angle measures? Explain.
To find the other angles in a parallelogram if only one is given then you need to subtract the number with 180 to find the consecutive angles. With the theorem 6-5 opposite angles are congruent, so the opposite side would have the same value.
can someone pls help me with dis ill give brainliest
Answer:
274900
Step-by-step explanation:
Convert a number to and from scientific notation, e notation, engineering notation, standard form, and real numbers. Enter a number or a decimal number or scientific notation and the calculator converts to scientific notation, e notation, engineering notation, standard form and word form formats.
To enter a number in scientific notation use a carat ^ to indicate the powers of 10. You can also enter numbers in e notation. Examples: 3.45 x 10^5 or 3.45e5.
Order of magnitude will also be identified for the calculated standard form. The order of magnitude when written in standard form, is the nth power of 10. For example, 3.4 x 10^5 has an order of magnitude of 5 since 10 is raised to the 5th power.
Answer:
Yes it is written in scientific notation.
Step-by-step explanation:
Scientific notation is --> a x 10^b. where a and b are certain values. This value follows that pattern, so yes it is in scientific notation.
can you please help me
Answer:
84000
Step-by-step explanation:
just searched it up plus you have to multiply it
Which of the functions represents a function?
Answer:
B.
Step-by-step explanation:
im not sure to my answer(●'◡'●)
Use the long division method to find the result when 12x^3+25x^2+4x-112x
3
+25x
2
+4x−1 is divided by 3x+13x+1.
Answer:
(4x + 3) • (x + 2) • (3x - 2)
Thats finding the root polynomials hope it helps a bit
If $20,000 is invested at 7% for 15 years, find the future value if the interest is compounded daily(365 days)
A(-5, -4) → A' is a glide reflection where the translation is (x, y) → (x + 6, y), and the line of reflection is y = 3. What are the coordinates of A'?
A. (1, -4)
B. (-5, 2)
C. (1, 10)
D. (11, 2)
Answer:
(1, -4)
Step-by-step explanation:
(-5,-4) -> (x,y) so x = -5 and y = -4. Apply the rule (x+6,y) to that point by substituting in your x and y values.
(-5+6,-4) = (1, -4)
Greg paid $324.50 for guitar lessons. He paid a $124.50 registration fee and $40 for each week he was enrolled in lessons. What is w, the number of weeks Greg was enrolled in guitar lessons?
DO NOT SPAM YOU WILL BE REPORTED ANSWER QUICK PLEASE Mason bought 16 tickets to a baseball game. The group rate saved him $5.75 per ticket He paid a total of $296.00 for the tickets. What was the regular price of a ticket to the game? Enter your answer in the box.
The regular price of a ticket to the game will be $24.25 based on the given data.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
As per the given,
Total paid = $296
Number of tickets = 16
Cost per tickets = 296/16 = $18.5
This cost excludes the $5.75 saved due to the group.
Original price = $18.5 + $5.75 = $24.25
Hence "The regular price of a ticket to the game will be $24.25 based on the given data".
For more about the number system,
https://brainly.com/question/22046046
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