Answer ASAP Find tanθ, where θ is the angle shown. Give an exact value, not a decimal approximation.
This is the same as writing the fraction [tex]\frac{24}{7}[/tex]
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Explanation:
Use the pythagorean theorem to find the missing side.
[tex]a^2 + b^2 = c^2\\\\a^2 + 24^2 = 25^2\\\\a^2 + 576 = 625\\\\a^2 = 625 - 576\\\\a^2 = 49\\\\a = \sqrt{49}\\\\a = 7\\\\[/tex]
The horizontal side of the right triangle is 7 units long.
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The [tex]\tan(\theta)[/tex] is the ratio of the opposite over adjacent.
[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\theta) = \frac{\text{vertical}}{\text{horizontal}}\\\\\tan(\theta) = \frac{24}{7}\\\\[/tex]
The value for the tan [tex]\theta[/tex] is 24/7.
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
H= 25
P = 24
Now, Base, B= √H² - P²
B= √25² - 24²
B= √625- 576
B= 7
Now, tan [tex]\theta[/tex] = P/ B
= 24/ 7
Hence, the value for the tan [tex]\theta[/tex] is 24/7.
Learn more about Trigonometry here:
https://brainly.com/question/29002217
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Ava and her three friends went out for lunch. Their total bill was $96. If each person paid the same amount, how much would each person pay?
$______
Answer:
$24
Step-by-step explanation:
Ava + her 3 friends = 4 people total.
The bill was $96
To split this evenly among 4 people we can divide the bill by 4.
96/4 = 24
Therefore each person would pay $24.
Hope this helps! :)
Tim made 10 baskets during a basketball game. Each basket was worth either 2 or 3 points. How many different numbers could represent the total points scored by Jordan?
The total point is an illustration of arrangements
There are 6 different numbers that could the total points scored by Jordan
How to determine the number of total points?The different number (n) that can represent the total point is calculated as:
n = 2 points + 3 points + 1
Remove the units
n = 2 + 3 + 1
Evaluate the sum
n = 6
Hence, there are 6 different numbers that could the total points scored by Jordan?
Read more about arrangements at:
https://brainly.com/question/6032811
Rewrite the following expression as the product of two binomials. Do not simplify the product.
(x-5)(4x+9) + (2x - 4)(x-5)
Answer:
x-5
Step-by-step explanation:
Find the length of the missing side of the right triangle.
Since this is a right triangle, we can use the Pythagorean theorem to find the hypotenuse of length 'c'.
[tex](length-of-leg1)^2+(length-of-leg2)^2=(length-of-hypotenuse)^2\\15^2+36^2 =c^2\\c = \sqrt{15^2+36^2} \\c= 39[/tex]
Thus c equals 39.
Hope that helped!
it is 3,896 miles round trip to craig´s aunt house.If he travels to her house 8 times this year how many miles did he travel in all?
Answer:
31,168 miles
Step-by-step explanation:
3,896 x 8 = 31,168
there were three apples , 1 mixed fruit, 2 grape, and 4 tropical fruit juice boxes in the cooler at the picnic. What is the probability that, when Jill reaches into the cooler to grab two juice boxes without replacing them, she grabs two that are grape?
Answer:
1/45 ≈ 0.022
Step-by-step explanation:
There are originally 10 juice boxes in the cooler, 2 of which are grape.
The probability that the first juice box is grape is 2/10.
The probability that the second juice box is grape is 1/9.
The probability of both is (2/10) (1/9) = 1/45 ≈ 0.022.
Simplify these expressions
a) х х х х х х у х у
b) 2 x x x x x 3 x y x у х у
Please help me!
Answer:
a) x³y²
b) 6x²y³
Step-by-step explanation:
For a), x × x × x can be simplified to x³ (there are three x's multiplying each other) and y × y can be simplified to y² (there are two y's multiplying each other)
For b) 2 × 3 can be simplified to 6, x × x can be simplified to x² and y × y × y can be simplified to y³
Hope this helps!
If x=y then 5x=5y what property
If x = y, then 5x = 5y --> Multiplication Property
How many planes appear in this figure?
Answer:
We can't see the planes
Step-by-step explanation:
Answer:
Put the question up bruh
Step-by-step explanation:
What is the ZERO for the graph?
Answer:
that is the orgin which means the middle.
Step-by-step explanation:
what is the answer for this problem?
2(10−4)2+8
The answer to your question is 32
2 (10-4)2+8
2*(6)*2+8
2*6*2=24
24+8=32
Slove for n n - 18 = 14
Answer:
N=32
Step-by-step explanation:
Answer: 32
Step-by-step explanation:
32-18=14
Help me find x but in only simplified radical form
Answer:
x = [tex]\sqrt{15}[/tex]
Step-by-step explanation:
Since 2 sides are equal then triangle is isosceles and the segment from the vertex is a perpendicular bisector.
Th triangle is divided into 2 right triangles with legs x and 7 and hypotenuse 8
Using Pythagoras' identity, then
x² + 7² = 8²
x² + 49 = 64 ( subtract 49 from both sides )
x² = 15 ( take square root of both sides )
x = [tex]\sqrt{15}[/tex]
13+2(5x-6)=5(x-1)+2x
Answer:
x=-3
Step-by-step explanation:
hoping that it will help you
Please help! Find the missing measurement. Problem is below!
Answer:
7 cm
Step-by-step explanation:
Pls mark me as brainliest if its correct and learn wrll
Solve the following inequality using the algebraic approach )pictire provided)
Answer:
x <4
Step-by-step explanation:
hope it helps
for any question comment me ❤❤
30 points! This table shows how long it took five students to complete their science projects.
Which measure(s) of central tendency represents the average time it took each student to complete a project?
A. the mean
B. the median
C. the mode
D. the mean and the median
Answer:
the mean
Step-by-step explanation:
mean is calculated average
Answer:
A: the mean
Step-by-step explanation:
Sorry for this very late response, but if anyone wasn't sure if answer A is correct, it is. I can confirm this because I just took the test, I hope I could help! (:
The sides of a triangle are 40, 50, and 30. Use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse.
Answer:
its a right triangle
Step-by-step explanation:
[tex]50^{2} = 30^{2} + 40^{2}[/tex]
If DF bisects CDE, solve for x.
Answer:
Step-by-step explanation:
Solve for CF
CF = CE - FE
CF = 34 - 18 = 16
Bisectors Cut the base line they are connect to in a proportion.
40/CF = x/18
40/16 = x/18 Cross Multiply
16x = 40 * 18 Combine the right
16x = 720 Divide by 16 on both sides
16x/16 = 720/16
x = 45
giving brainlist for correct answer. :))
Answer:
3300 m²
Step-by-step explanation:
Area of a triangle = 1/2 x base x height
⇒ area of one triangle = 1/2 x 30 x 40 = 600 m²
Area of a square = side length x side length
⇒ area of the square = 30 x 30 = 900 m²
Surface area of square-base pyramid = area of 4 triangles + area of square
⇒ SA = 4 × 600 + 900 = 2400 + 900 = 3300 m²
Which pair of lines are perpendicular?
y = -4x + 1 and 8x + 2y = -10
x = 4 and y = -1
y = -8 and y = 2
x - y = 7 and y = x + 3
Answer: A
Step-by-step explanation:
Multiply the following polynomials, and write your solution in standard form:
(3x – 1) (2.08 + 4x2 – 5) =
Answer:
8x^2-8.76x+2.92
Step-by-step explanation:
Factor using FOIL and then simplify
for each of the following, give the equation of the line shown
i didn't know the answer sorry
In a particular right triangle, the two legs have lengths of 40 inches and 42 inches. What is the area of the triangle?
Answer:
i don't know I don't have ideas about it
Number line, and point Y partitions line XZ into two parts so that the ratio of the length of line segment XY to the length of line segment YZ is 1:4. The coordinate of X is 1.3, and the coordinate of Y is 3.8. What is the coordinate of Z? Show all work
Answer:
13.8
Step-by-step explanation:
If Points X and Z are on a number line and point Y partition line XZ into two parts where XY: YZ = 1:4, this can be expressed as;
XY/YZ = 1/4
cross multiply;
YZ = 4XY
Also, if the coordinate of X is 1.3, and the coordinate of Y is 3.8, then the distance XY will be expressed as XY = 3.8 - 1.3
XY = 2.5
YZ = 4(2.5)
YZ = 10
Since Y is at 3.8 and YZ is 10, then coordinate Z will be YZ + Y
coordinate of Z = 10+3.8
coordinate of Z = 13.8
Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees? Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees? Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees?
Answer:
8.4weeksStep-by-step explanation:
The question in details "Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees?"
given that Mike is paid $5 per hour
and that he only works 2 hours per week
that means in a week he earns= 5*2= $10
Also, given that mike has a fee of $84 to pay
it would take him 84/10= 8.4weeks
it would take him 8.4weeks to pay the money
A park charges $14 for one round of miniature golf and a reduced fee for each additional
round played. If Tom paid $59 for 6 rounds of miniature golf, what is the reduced fee for
each additional round played?
Answer:
$9
Step-by-step explanation:
Is 8397 divisible by 9 ? Explain your answer
Answer:
Yes
Step-by-step explanation:
9 can go into 8397 evenly without any remainders.
Answer:
8397/9= 933
8397 is divisible by 9 if you divide 8397 by 9 and the quotient is an integer. The easiest way to determine if 8397 is divisible by 9 is to calculate the sum of the digits in 8397. If the sum of the digits is divisible by 9, then 8397 is divisible by 9.
8+3+9+7= 27
27 is divisible by 9
Step-by-step explanation:
Find the equation of the straight line passing through the point (0, 5) which is perpendicular to the line y=1/6x+2
Hey there!
Perpendicular lines have slopes that are opposite reciprocals. This means we take a number, flop it over, and change its sign.
In this case, the slope is 1/6.
First, flop it over:
6/1 (or just 6)
Then, change its sign:
-6
Now, the line passes through the point (0, 5)
The reason 5 is highlighted is because it's the y-intercept of 5.
So we have the Slope & the Intercept.
See what I mean? Yeah! We can write the line's equation in Slope-Intercept Form (y=mx+b)
In this formula, m stands for the slope, and b stands for the y-intercept.
In this case, -6 is the slope, and 5 is the y-intercept.
Hence, the equation is
[tex]\boxed{\boxed{\bold{y=-6x+5}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
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