Answer ASAP Find tanθ, where θ is the angle shown. Give an exact value, not a decimal approximation.
Answers
This is the same as writing the fraction [tex]\frac{24}{7}[/tex]
=======================================================
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.
--------------------
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.
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Related Questions
If the area of a rectangle is 12mn^2 and the width is 3m^2n, what would be the length of the rectangle, given that length is found by dividing area by length?
Answers
Let's see
Area=Length×Breadth[tex]\\ \rm\rightarrowtail 3m^2n(L)=12mn^2[/tex]
[tex]\\ \rm\rightarrowtail mL=4n[/tex]
[tex]\\ \rm\rightarrowtail L=4n/m[/tex]
Answer:
[tex]\sf length=\dfrac{4n}{m}[/tex]
Step-by-step explanation:
Area of a rectangle = width × length
Given:
[tex]\sf area=12mn^2[/tex][tex]\sf width=3m^2n[/tex]Substituting the given expressions into the equation:
[tex]\sf \implies 12mn^2=3m^2n \times length[/tex]
[tex]\sf \implies length=\dfrac{12mn^2}{3m^2n}[/tex]
Factor 12 to 3 · 4:
[tex]\sf \implies length=\dfrac{3 \cdot 4mn^2}{3m^2n}[/tex]
Cancel the common factor of 3:
[tex]\sf \implies length=\dfrac{4mn^2}{m^2n}[/tex]
Simplify [tex]\sf \dfrac{n^2}{n}=n[/tex] :
[tex]\sf \implies length=\dfrac{4mn}{m^2}[/tex]
Simplify [tex]\sf \dfrac{m}{m^2}=\dfrac{1}{m}[/tex] :
[tex]\sf \implies length=\dfrac{4n}{m}[/tex]
slope-intercept form, write the equation of the line
that passes through the point (4, 2) with a slope of 5.
Answers
Answer:
[tex]y=5x-18[/tex]
Step-by-step explanation:
Given the following question:
Point A = (4, 2) = (x, y)
Slope = 5
To find the answer we are going to have to use the formula for slope intercept, substitute the values, then solve for the variable b to have our answer.
[tex]y=mx+b[/tex]
[tex]y=2[/tex]
[tex]m=5[/tex]
[tex]x=4[/tex]
[tex]2=5(4)+b[/tex]
[tex]5\times4=20[/tex]
[tex]2=20+b[/tex]
[tex]20-20=0[/tex]
[tex]2-20=-18[/tex]
[tex]-18=b[/tex]
[tex]b=-18[/tex]
[tex]y=5x-18[/tex]
Your answer is "y = 5x - 18."
Hope this helps.
A 20-feet ladder leaning against a wall is used to reach a window that is 17 feet above the ground. How far from the wall is the bottom of the ladder? Round to the NEAREST TENTH of a foot.
Group of answer choices
10.5 ft
10.4 ft
10.6 ft
10 ft
Answers
Answer:
B, 10.5
Step-by-step explanation:
It's actually 10.54, but since you want be to round it, it's 10.5
Divide B by 3 then triple the results
Answers
Answer:
It is B
Step-by-step explanation:
B:3=b
bx3=B
Byron earns $11.00 per hour. How many hours will Byron have to work to earn $143.00?
7.7 hours
13.0 hours
14.3 hours
15.7 hours
Answers
Answer:
13.0 hours
Step-by-step explanation:
$143 ÷ $11 (how he gets payed per hour) = 13 hours
Byron has to work 13 hours to earn $143 dollars
Answer:
[tex]Byron \: will \: have \: to \: work \: for \\ \: 13\: hrs \: to \: earn \: 143[/tex]
[tex]let \: the \: number \: of \: hrs \: = x \\ then \\ for \: the \: salary \: of \: \: 143 \: \\ the \: earning \: \times \: the \: time \: (x) = 143 \\ so \: 11x \: = 143 \\ x = \frac{143}{11} = 13.[/tex]
Write 3 1/2 hours : 36min as a ratio in its simplest form
Answers
Answer:
Step-by-step explanation:
you can re-write 3 1/2 hours into minutes.
1 hr = 60 minutes,
Therefore:
3 1/2 hours = 3.5 times 60 = 210 minutes
So now we have the ratio:
3 1/2 hours : 36 minutes
210 minutes : 36 minutes
Both numbers can be divided by 6
210/6 = 35 and 36/6 = 6
So now we can re-write the ratio as :
35 : 6
Solve each system of equations 2a+b+c=0 2b+c+a=-4 2c+a+b+4
Answers
Answer:
(a, b, c) = (0, -4, 4)
Step-by-step explanation:
Any of a variety of calculators, spreadsheets, or web sites can solve these equations for you. A calculator result is attached. It shows the solution to be ...
(a, b, c) = (0, -4, 4)
__
If you'd like to solve the system by hand, here's one way:
Add the three equations together:
(2a +b +c) +(2b +c +a) +(2c +a +b) = (0) +(-4) +(4)
4a +4b +4c = 0 . . . . simplify
a +b +c = 0 . . . . . divide by 4
Substitute this into each of the other equations:
a +(a +b +c) = 0 ⇒ a +0 = 0 ⇒ a = 0
b +(a +b +c) = -4 ⇒ b +0 = -4 ⇒ b = -4
c +(a +b +c) = 4 ⇒ c +0 = 4 ⇒ c = 4
Solve for the given variable
ax-bx=3;x
I need help :
Answers
Answer:
x = [tex]\frac{3}{a-b}[/tex]
Step-by-step explanation:
Given
ax - bx = 3 ← factor out x from each term on the left side
x(a - b) = 3 ← divide both sides by (a - b)
x = [tex]\frac{3}{a-b}[/tex]
You are an office manager, and you need to buy a new
printer. You are looking at two options for the printer
model you like. A local electronics store offers the
model for $499.99 plus a 5% sales tax. An online store
offers the same model for $549.99 plus $22.95 for
shipping and no sales tax. You plan to use a coupon
for the online store for 10% off the purchase price
before the shipping fee.
What will be the final price of the better deal?
$472.49
$515.65
$517.94
$524.99
$572.94
Answers
First let's calculate the final price at the electronic store.
499.99*(1+0.05)≈524.99
Now let's calculate the final price online
(549.99+22.95)*(1-0.1)≈515.65
If we compare the two we can see that the online price is cheaper at around 515.65 dollar therefore the second choice is correct.
I hope this helped if you have any questions please ask!
someone help please
Answers
Answer:
Step-by-step explanation:
Semicircle:
diameter = 6 yd
r = 6/2 = 3 yd
[tex]Area \ of \ semicircle = \dfrac{1}{2}\pi r^{2}\\\\[/tex]
[tex]=\dfrac{1}{2}*3.14*3*3\\\\= 14.13 \ yd^{2}[/tex]
Triangle:
base = b =6 yd
height = h = 4 yd
[tex]Area \ of \ triangle = \dfrac{1}{2}bh\\\\[/tex]
[tex]=\dfrac{1}{2}*6*4\\\\\\= 3*4\\\\= 12 \ yd^{2}[/tex]
Area of composite figure =area of semicircle + area of triangle
= 14.13 +12
= 26.13 yd²
Please help :)
It would be really helpful if your formatted your answer like 8b. (Answer)
It’s fine if you can’t answer them all juts say which ones your can :) tysm!
Answers
Answer:
36
Step-by-step explanation:
one calculator price =30/5=6
cost price of 6 calculator=6*6=36
1. Which of the following models is an exponential decay model?
a) y = 12 (3.57)^t
b) y = 4 (1.21)^t
c) y = 1 + 6t
d) y = 7 (0.98)^t
2. Which of the following models is an exponential decay model?
A) y = 2,000 (0.07)^t
B) y = 4,000 (3.84)^t
C) y = 26t^2
D) y = 1 + 17t
3. Exponential decay models have a base between ____ and ____.
Answers
Answer:
1. d) [tex]\mathsf{y=7(0.98)^t}[/tex]
2. A) [tex]\mathsf{y=2000(0.07)^t}[/tex]
3. zero and 1
Step-by-step explanation:
General form of an exponential model: [tex]\mathsf{y=ab^x}[/tex]
If 0 < b < 1 then model decays
1. d) [tex]\mathsf{y=7(0.98)^t}[/tex]
2. A) [tex]\mathsf{y=2000(0.07)^t}[/tex]
3. Exponential decay models have a base between 0 and 1
The slope of 5,10 and 2,6 ?
Answers
Answer:
4/3
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( 6-10)/(2-5)
= -4/-3
= 4/3
Solve for x.
z = 6 π x y
Image Below
Answers
Answer:
third option
Step-by-step explanation:
Given
z = 6πxy ( isolate x by dividing both sides by 6πy )
[tex]\frac{z}{6\pi y}[/tex] = x
7. a. dilate point c using center d and scale factor 3/4
b. dilate segment ab using center d and scale factor 1/2.
Answers
The dilations will give the relations:
C'D = (3/4)CD and A'B' = (1/2)AB
And a sketch of the graph can be seen at the end.
How to dilate C?First, we want to dilate point C using D as the center of dilation with a scale factor = 3/4.
This only means that we will have the new point C', such that:
C'D = (3/4)*CD
Where CD is the distance between points C and D
b) Similarly, we will dilate the whole segment AB into the segment A'B', such that:
A'B' = (1/2)AB.
It is hard to give the exact graph when we don't know the coordinates of the points, but the graph should look something like the one you can see below.
If you want to learn more about dilations, you can read:
https://brainly.com/question/3457976
2x+5=12
Show me the working out
Answers
Answer:
[tex]\sf{x=\dfrac{7}{2}=3.5 }[/tex]
Step-by-step explanation:
It is necessary to isolate the term of x from both sides in order to solve this problem.
First, subtract by 5 from both sides.
2x+5=12
[tex]\sf{2x+5-5=12-5}[/tex]
Solve.
[tex]\sf{12-5=7}[/tex]
2x=7
Divide by 2 from both sides.
2x/2=7/2
Solve.
Dividing is another option.
7/2=3.5
So, the final answer is 7/2=3.5.
I hope this helps you! Please let me know if my answer is wrong.
Can anyone help me with this?
Answers
Answer:
is there an area tho
Step-by-step explanation:
Matthew was flying a paper airplane. If Matthew’s plane flew 36.5 centimeters, how many inches did matthew’s plane fly?
Answers
Answer:
The answer should be 14.37008 inches.
Step-by-step explanation:
BE QUICK I NEED THE ANSWER AND WILL GIVE BRAINLEST
A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 cubic centimeters.
Part A: What is the height of the base? Show your work. (5 points)
Part B: What is the approximate amount of cardboard used to make the candy box? Explain how you got your answer. (5 points)
Answers
Answer:
A) 12 cm
B) 520 cm² (just sides); 720 cm² (sides and base)
please help!! a circular garden has a diameter of 16 yards. what is the area of the garden. use 3.14 for pi.
A. 50.24 yd2
B. 100.48 yd2
C. 200.96 yd2
D. 803.84 yd2
Answers
Answer:
C. 200.96 yd²
Step-by-step explanation:
diameter = 16 yd
radius = diameter/2 = 16 yd / 2 = 8 yd
area = πr²
area = 3.14 × (8 yd)²
area = 200.96 yd²
which expression is equivalent to 2(t+1)+(t+3)?
a. 2t + 5
b. 3t + 5
c. 3t + 3
d 4t + 8
Answers
A box of dried fruit has 52 Calories in 4 servings how many calories are there per serving
Answers
Answer:
13 calories per serving
Step-by-step explanation:
52/4 = 13
Answer:
13
Step-by-step explanation:
52 divide 4 equals to 13
Hope this help :)
Sushil and Fiona win some money and share it in the ratio 3:5. Sushil gets £42. How much did they win in total?
Help please!!
Answers
Answer:
Step-by-step explanation:3 divided by 42=14
14*5=70
70+42=112
You have four $1 bills, three $5 bills and two $10 bills in your wallet. How much money do you have in your wallet
Answers
Answer: $39
Step-by-step explanation: 4(1)+3(5)+2(10)=39
Answer:
39 dollars.
Step-by-step explanation:
1 x 4= 4
3 x 5= 15
2 x 10= 20
add them up:
15+4= 19
19+20= 39
Can anyone please help me with this question?
Answers
Answer:
Step-by-step explanation:
67 is tyen answer i did the quiz im in 9th grade
Drag each day to the correct location on the tree drag each estimated measurement next to the correct she not all shapes and measurements will be used.
A tree from a forest with a height of 30 feet is shown below the bottom branches are about 4 feet from the ground and are 10 feet long from left to right.the tree trunk is about 2 feet wide.
what are the appropriate shapes to model the trunk of the tree and the rest of the tree?what are the approximate surface areas of each of the two shapes?
Answers
Answer: cone Cylinder
Surface area is 402ft2 and 69ft2
Step-by-step explanation:
I got the answer right
The appropriate shape to model trunk is cylinder, rest of the tree is cone and surface area of trunk is 25.12 [tex]feet^{2}[/tex]and surface area of rest of the tree is 415.58 [tex]feet^{2}[/tex].
What is surface area?It is the space occupied by a two dimensional surface. The area occupied by a three dimensional object by its outer surface area.
How to calculate surface area?The upper part of the tree is similar to the cone and the trunk is of cylindrical shape. So the appropriate shape used to model the entire is cone above the cylinder.
We have been given the height of entire tree=30 feet,
Width of upper part=10 feet.
Height of trunk=4 feet
Width of tree means diameter of upper part or cone. Height of cone means height of cylinder, width of trunk means diameter of cone.
So, The radius of cone ie 5 feer,radius of cylinder is 1 feet, height of cone be 30-4=26 feet.
Surface area of cone is πrl where l is slant height of cone which is equal to [tex]\sqrt{r^{2} +h^{2} }[/tex]
l=[tex]\sqrt{5^{2} +26^{2} }[/tex]
=[tex]\sqrt{701}[/tex]
=26.47 feet.
Surface area of cone=π*5*26.47
=3.14*5.26*26.47
=415,28 [tex]feet^{2}[/tex]
Surface area of cylinder=2πrh
=2π*4*1
=2*3.14*4
=25.12 [tex]feet^{2}[/tex]
Hence cone and cylinder of surface area 415.28 [tex]feet^{2}[/tex] and 25.12 [tex]feet^{2}[/tex] can be used to model out tree.
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Find the length of the side RT in the triangle above.
Answers
In the given ∆RST,
➾Tan 53° = ST/RT
➾ 1.327 = 14/RT
➾ RT = 14/1.327
➾ RT = 10.55 (approx)
➢ Therefore, the length RT = 10.55 cm (approx)
Sony’s wireless bluetooth speaker originally costs $99. Currently it is on sale for 45% off. What is the discount?
Answers
Answer:
How much it's worth now - 54.45 Dollars
Discount - 44.55 Dollars
PLEASE HELP LOOK AT THE PICTURE I NEED HELP NOWWWW!!!! WILL GIVE 20 POINTSSSSSS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Which of the following could be the number shown on the number line?
A.35
B.38
C.37
D. 30
Answers
Answer:
A. 35
Step-by-step explanation:
√35 = 5.9160797830996160425673282915616170484155012307943403228797196691
Answer: √35
Plz mark brainliest ;)
Determine if the equations are intersecting, parallel, or coincident.
4x +y=-4
–8x – 2y = 10
Answers
Answer:
the equations are coincident.
Step-by-step explanation:
Answer:
Parallel
Step-by-step explanation:
The answer above me is wrong. These lines are parallel, not coincident.