The side lengths of a 45-45-90 triangle are in the ratio 1 : 1 : SR2 what is tan 45?
SR= square root

Answers

Answer 1

Answer:

Step-by-step explanation:

tan 45=1/1=1

Answer 2

Tan Theta is one of the trigonometric ratios which is equal to opposite / Adjacent in a triangle, the value of tan45 is 1.

What is the 45-45-90 triangle?

The 45-45-90 triangle is also an isosceles triangle, which means its two legs are equal in length.

Tan Theta is one of the trigonometric ratios which is equal to opposite / Adjacent in a triangle.

The side lengths of a 45-45-90 triangle are in the ratio 1: 1: [tex]\sqrt{2}[/tex].

The value of tan45 is given by the following formula;

[tex]\rm Tan 45 = \dfrac{Perpendicular}{Base}\\\\Tan45=\dfrac{1}{1}\\\\Tan45=1[/tex]

Hence, the value of tan45 is 1.

Learn more about trigonometry here;

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Related Questions

Find two numbers between 100 and 150 with HCF 24

Answers

Answer:

120 and 144

120÷24=5

144÷24=6

What type of angle is this pls hurry!

Answers

Answer:

Its an Obtuse angles

Step-by-step explanation:

x+79=2x-37

(x+79)+(-79)=(2x-37)+(-79)

x+79-79=(2x-37)-79

x=2x-37-79

x=116

An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.

When Natalie commutes to work, the amount of time it takes her to arrive is normally
distributed with a mean of 25 minutes and a standard deviation of 4 minutes. Using
the empirical rule, what percentage of her commutes will be between 17 and 33
minutes?

Answers

Answer: 95%

Step-by-step explanation:

The temperature at 3:00 PM was 35°F. The
temperature had dropped 45 degrees by 9:00 PM.
What was the temperature in degrees Fahrenheit at
9:00 PM ?

Answers

-10 degrees Fahrenheit

Answer:

- 10 degrees Fahrenheit at 9:00 PM

Step-by-step explanation:

35 - 45 = -10

PLZZZ HELPP MEEEEEEEEEEEEEEEEEEE

Answers

Step-by-step explanation:

question 1

[tex]6 {x}^{4} - 36 {x}^{3} \\ 6 {x}^{3} (x - 6)[/tex]

question 2

[tex]64 {x}^{2} + 48x + 9 \\ {(8x + 3)}^{2} [/tex]

This is so hard help

Answers

Answer:

Ik it

Step-by-step explanation:

A tree casts a shadow that is 12 meters long. The distance from the top of the tree to the end of the shadow is 13 meters. What is the height of the tree? A.5m B.About 18m C.25m D.About 30m

Answers

Answer:

5M

Step-by-step explanation:

Karen and Max tracked the number of emails that they received each day over the last month. Which statement is supported by the data?


A. Max and Karen’s IQR values are the same.
B. Max’s median is greater than Karen’s median.
C. Max’s maximum is greater than Karen’s maximum.
D. Max’s data is more symmetrical than Karen’s data.

Answers

Answer:

Step-by-step explanation:

A.) Kokochi walks 4 and 1 twelfth miles in one day. He walks the same distance for one week. How many miles does Kokochi walk?

B.) The next week, Kokochi walks 8 and 1 fourth miles in one day for a week. How many miles does Kokochi walk?

C.) What is the distance Kokochi walked if the answers to part A and B were combined?

Answers

Answer:

A) 28 7/12, or 343/12, or 28.583

B) 57.75

C) 86.3 or 86 1/3

Step-by-step explanation:

Find the measure of the indicated angle to the nearest degree

Answers

Answer:

39

Step-by-step explanation:


Martha's salary is $52,000 this year, and increases by 8% each year. She pays 17.5% of her salary in taxes. What will be Martha's net pay NEXT year?​

Answers

Answer:

Martha's net pay next year is $46,332.

Step-by-step explanation:

First, you have to calculate the increase by multiplying the salary for 8% and adding the result to the salary:

$52,000*8%= $4,160

$52,000+$4,160= $56,160

Now, in order to find the net pay next year, you have to calculate the tax by multiplying the salary for the tax percentage and subtracting that from the salary:

$56,160*17.5%= $9,828

$56,160-$9,828= $46,332

According to this, the answer is that Martha's net pay next year is $46,332.

Amy is pulling a wagon with a force of 30 pounds up a hill at an angle of 25°. Give the force exerted on the wagon as a vector and as a linear combination of unit vectors i and j.

Answers

Answer:

Vector (ordered pair - rectangular form)

[tex]\vec F = (27.189,12.679)\,[lbf][/tex]

Vector (ordered pair - polar form)

[tex]\vec F = (30\,lbf, 25^{\circ})[/tex]

Sum of vectorial components (linear combination)

[tex]\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N][/tex]

Step-by-step explanation:

From statement we know that force exerted on the wagon has a magnitude of 30 pounds-force and an angle of 25° above the horizontal, which corresponds to the +x semiaxis, whereas the vertical is represented by the +y semiaxis.

The force ([tex]\vec F[/tex]), in pounds-force, can be modelled in two forms:

Vector (ordered pair - rectangular form)

[tex]\vec F = \left(\|\vec F\|\cdot \cos \theta, \|\vec F\|\cdot \sin \theta\right)[/tex] (1)

Vector (ordered pair - polar form)

[tex]\vec F = \left(\|\vec F\|, \theta\right)[/tex]

Sum of vectorial components (linear combination)

[tex]\vec {F} = \left(\|\vec F\|\cdot \cos \theta\right)\cdot \hat{i} + \left(\|\vec F\|\cdot \sin \theta \right)\cdot \hat{j}[/tex] (2)

Where:

[tex]\|\vec F\|[/tex] - Norm of the vector force, in newtons.

[tex]\theta[/tex] - Direction of the vector force with regard to the horizontal, in sexagesimal degrees.

[tex]\hat{i}[/tex], [tex]\hat{j}[/tex] - Orthogonal axes, no unit.

If we know that [tex]\|\vec F\| = 30\,lbf[/tex] and [tex]\theta = 25^{\circ}[/tex], then the force exerted on the wagon is:

Vector (ordered pair - rectangular form)

[tex]\vec F= \left(30\cdot \cos 25^{\circ}, 30\cdot \sin 25^{\circ}\right)\,[lbf][/tex]

[tex]\vec F = (27.189,12.679)\,[lbf][/tex]

Vector (ordered pair - polar form)

[tex]\vec F = (30\,lbf, 25^{\circ})[/tex]

Sum of vectorial components (linear combination)

[tex]\vec F = (30\cdot \cos 25^{\circ})\cdot \hat{i} + (30\cdot \sin 25^{\circ})\cdot \hat{j}\,[N][/tex]

[tex]\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N][/tex]

A triangular prism has length 20 cm.
The sides of the shaded cross-section are 4 cm, 11 cm and x cm.
The angle between the sides of length 4 cm and 11 cm is 125º.

calculate x​

Answers

1/2.a.b.sinc
1/2x4x11xsin125= 18.02134497
X= 18cm

Find the circumference.
Use 3.14 for tı.
-
r = 6 ft
C = [?] ft
C=rd

Answers

Answer:

37.69911184

Step-by-step explanation:

because circumference is equal to pi multiplied by diameter, you will not get the circumference with the radius times pi. in order to get the diameter, you multiply the radius by 2, because the diameter is the length across the circle. So the diameter of this circle is equal to 12. so simply multiply that number by pi (3.14) and there is your answer. Hope i helped.

is anyone have the answer to 9,576,984.9874 x 98.84

Answers

Answer:

946589196.155

Step-by-step explanation:

Hope that helps

The answer is 946589196.155

Find x

Secant tangent angles

ILL MARK BRAINLIEST!!!

Answers

Answer:

[tex]x = \frac{50 + 92}{2} = 71[/tex]

What is the domain of the relation?

A. {-4, -2, 1.4)
B. {-2, 1, 4)
C. {-2, 1, 4,4}
D. (-4.-2).(-2, 1), (1.4). (4.4)

Answers

Answer:

A{-4,-2,1,4} is the domain of function.

stay safe healthy and happy.

Simplify the following expression log(x^2)-log(x)

Answers

Answer:log a - log b = log (a/b) than use this formula will get

log x^2 -log x = log (x^2 /x) = log x

so answer is log x

Step-by-step explanation:

Simplify:
[tex]\sqrt[3]{\frac{x^2}{8y^{-1}} }[/tex]

Thank you!

Answers

Answer:

hope this will help you more

good luck...

Answer:

[tex] \frac{ {x}^{ \frac{2}{3} } {y}^{ \frac{1}{3} } }{2} [/tex]

Answer C is correct

Step-by-step explanation:

[tex] \sqrt[3]{ \frac{ {x}^{2} }{8 {y}^{ - 1} } } \\ \frac{ {x}^{2 \times \frac{1}{3} } \times {y}^{1 \times \frac{1}{3} } }{ \sqrt[3]{8} } \\ = \frac{ {x}^{ \frac{2}{3} } {y}^{ \frac{1}{3} } }{2} [/tex]

solve this system of equations using the substitution method
y=x+7
-2x-11=y​

Answers

Answer:

x=-6, y=1

Step-by-step explanation:

Let's solve your system by substitution.

y=x+7;−2x−11=y

Step: Solve y=x+7 for y:

y=x+7

Step: Substitute x+7 for y in −2x−11=y:

−2x−11=y

−2x−11=x+7

−2x−11+−x=x+7+−x(Add -x to both sides)

−3x−11=7

−3x−11+11=7+11(Add 11 to both sides)

−3x=18

−3x/ −3 = 18/ −3  (Divide both sides by -3)

x=−6

Step: Substitute−6 for x in y=x+7:

y=x+7

y=−6+7

y=1  (Simplify both sides of the equation)

Answer:

x=−6 and y=1

 

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

A and B are the correct options
answer:
a. one third of the design is yellow
b. there are three equal shares

explanation:
4/12 = 3
one third of the design is yellow
there are three equal shares 4 orange, 4 yellow and 4 orange
each share has 4 not 3 squares
two thirds of the design is orange

Vilgot made a hat, then a scarf. He graphed the relationship between the total weight (in grams) of the yarn he had used and the length (in centimeters) of the scarf.


What feature of the graph represents how much of the yarn Vilgot used for the hat?

Answers

Answer:

x-intercept

Step-by-step explanation:

Which angle has a cotangent value of -1?
a. Quadrant 1
b. Quadrant 2
c. 120 degrees
d. 135 degrees

Answers

Answer:

Solution given:

cotangent x=cot x=-1

now

x=cot -¹(-1)

x=180-45°

x=135°

So

ans is d. 135 degrees.

as cot is negative in 2nd quadrant.

help please

12) In the accompanying diagram of circle O, AB is a chord and PQ is a tangent.
Line segment BOC is a diameter and DEOFP is a secant that passes through the center of the circle. ArcDA ArcAC: ArcCF = 2:10:6, and ArcBQ = 80°.
Find:
a) Arc AC
b) m angle ABC
c) m angle COF
d) Arc BD
e) Arc QF
f) m

g) m

Answers

Your looking at c and b a f

There are 6 people who want to share 17 ride tickets for the carnival. Each person will get an equal number of tickets. How many tickets will each person get? How many tickets will be left over?

Answers

Each person gets to ride 3 rides. One person has to force the ride to stop halfway so the last person can have a turn.

Answer:

5 people will get 3 tickets and one person will get 2.

Step-by-step explanation:

5x3= 15 , 2 tickets left.

PLEASE HELP WITH THISSS

Answers

Answer:

See the attached

Step-by-step explanation:

I left last bits to you as it is about checking your understanding

i need help! would appreciate it

Answers

Answer:

x = 0.6

Step-by-step explanation:

We use tangent because the given numbers are opposite and adjacent from x

So, tangent (x) = opposite/adjacent

tan(x) = 8.78/12

[tex]tan^{-1}(\frac{8.78}{12}) = x[/tex]

x = 0.631664

Round to nearest tenth:

x ~ 0.6

Fatima is saving up to buy a $300 bike. She saves $25 each week from her babysitting money. Which linear equation represents the amount Fatima still has to save after x weeks?

y = 25x + 300
y = 25x – 300
y = –25x – 300
y = –25x + 300
one of those

Answers

Answer:

y=−25x+300

Step-by-step explanation:

have a good day/night

may i please have a branlliest

50 PTS!!!
Please look at the screenshot and answer:
Look for a pattern in the data set to determine which kind of model best describes the data.

Answers

Answer:

the data of the cubic

as it the distance between the two integers closed under addition

An isosceles triangle has two angles that measure 37 degrees. What is the measure of the third angle

Answers

Answer:

106°

Step-by-step explanation:

An isosceles triangle has 2 sides of the same length. All triangles add up to 180°

37 + 37 + x = 180

74 + x = 180

x = 106

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