In ΔDEF, d = 53 cm, ∠E=154° and ∠F=5°. Find the length of e, to the nearest 10th of a centimeter.

Answers

Answer 1

Answer:

e = 64.8 cm

Step-by-step explanation:

The first thing to do here is to make a sketch of the triangle in question.

Please check the attachment for this.

The first thing to do here is to find the value of angle D.

Since it is a triangle, total angle there is 180

This means that;

D + E + F = 180

Thus 154 + 5 + D = 180

D + 159 = 180

D = 180-159

D = 21

The easiest way to find e is by the use of the sine rule.

Mathematically;

d/Sin D = e/Sin E

Thus;

53/sin 21 = e/Sin 154

e = 53Sin 154/Sin 21

e = 64.83

which is e = 64.8 cm to the nearest 10th of a centimeter

Answer 2

Answer: 64.8

Step-by-step explanation:


Related Questions

m 1 = a) 40 b) 130 c) 50

Answers

Answer:

A) 40

Step-by-step explanation:

The angle adjacent 40 is complementary to it, meaning that it must have a measure of 90-40=50 degrees. This angle is a vertical angle with the one inside the triangle, meaning that it also has an angle of 50 degrees. Now that you know two of the angles in the triangle and you know that all of the interior angles of a triangle add up to 180 degrees, you can find angle 1:

[tex]\angle 1=180-90-50=40^{\circ}[/tex]

Hope this helps!

Answer:

<1 = 40

Step-by-step explanation:

Corresponding angles are equal and <1 and 40 are corresponding angles on parallel lines

if y= -6 when x= -2 find y when x= 5

Answers

Answer:

Y=15 when x=5

Step-by-step explanation:

if y= -6 when x= -2

So y=? When x=5

Y=15

Hope this helps

Good Luck

1 Point
Write a mathematical sentence that expresses the information given below.
Use cas your variable name. If necessary:
type < = to means
or > = to mean >.
Henry had charged 933 dollars to his credit card. Even after the cost of his
next purchase, he was still under his credit limit of 1500 dollars.
Answer here

Answers

Answer:

933+x < 1500

Step-by-step explanation:

Let x be the next purchase

The first charge of 933 and the next purchase is less than 1500 dollars

933+x < 1500

Answer:

1500>933+c

Step-by-step explanation:

,............

Please help me!!!

a = 8, b = 15, c =

17
√(24)
√(46)
√(161)

Answers

Here you can use the Pythagorean theorem which is a^2+b^2=c^2. Plug in the numbers given. 8^2+15^2=c^2. 64+225=c^2. 289=c^2. 17=c. So c=17. Hope I was able to help.

-92.67
-6/7
45/9
45
14/2
which of these are integers?

Answers

Answer:

Step-by-step explanation:

The integer is 45, since integers are only whole numbers and they're negative counterparts, so even if the fraction or decimal is negative, it is not an integer because it's not a whole number. Hope that helps!

Answer:

[tex]45/9\\45\\14/2[/tex]

Step-by-step explanation:

An integer is a number that can be written without a fractional component.

[tex]-92.67=-278/3[/tex]

[tex]-6/7=-6/7[/tex]

[tex]45/9=5[/tex]

[tex]45=45[/tex]

[tex]14/2=7[/tex]

Which value would make the statement true?

Answers

B would make the equation true

Helpppppppp pleaseeeeee

Answers

Answer:

AC=10

Step-by-step explanation:

Is this no solution or is there a solution?
This is solving systems of linear equations by graphing.
Step one is to graph each equation.
Step two is to find the point of intersection which is the solution.

Answers

Answer:

No Solution

Step-by-step explanation:

I used a graphing tool to graph the equations. When graphed, the lines are parallel and they do not intercept at a point.

There is no solution; your answer should be correct.

Answer:

yes it is no solution

Step-by-step explanation:

this is because since they both have the same slope, that means the two lines are parallel

and so therefore they will never intersect

so the answer is no solution

PLEASE HELP (:

The range of the function

f(x) = x + 5 is {7, 9}. What is the function’s domain?

A. {2, 4} B. {-2, -4} C. {12, 14} D. {-12, -14} E. {0, 5}

Answers

Answer:

{12,15}

Step-by-step explanation:

Given the function f(x) = x+5, if the range of the function is {7,9}, the domain of the function is derived by simply finding the value of the function at each end point.

At endpoint x = 7,

f(7) = 7+5

f(7) = 12

At endpoint x = 9

f(9) = 9+5

f(9) = 14.

The function domain is therefore at {12,14}

Solve x^4 -3x^2 +2=0 using substitution. U=

Answers

Answer:

U = x^2

hope this helped!

Answer:

x^2

Step-by-step explanation:

The person above me is spitting mad facts and da TRUTH and also UNUS ANNUS

A flag pole casts a shadow that is 28 feet long. At the same time, a stick is 2 feet tall and casts a shadow that is 3.5 fee
long. How tall is the flag pole?
lar​

Answers

Answer:

49 feet

Step-by-step explanation:

the same unit of measurement has to be the same between these two things. That means it can't be -1.5. It has to something constant we can multiply for both the shadows and real life objects to match. So, 3.5/2=1.75

That means for every foot there is 1.75 in the shadow (feet)

So 1.75*28=49

We can check: 28*1.75  2*1.75=3.5

The awnser is 49 fttt hope I could help

Find the inverse of the function y = 2x^2 +2

Answers

It would be

[tex] \sqrt{ \frac{x - 2}{ 2} } [/tex]

I hope this is what you're looking for!

How can you solve for x in the proportion StartFraction 7 over 8 EndFraction = StartFraction x over 24 EndFraction?

Answers

Answer:

21

Step-by-step explanation:

7/8 = x/24

Cross multiply.

8x = 24 × 7

8x = 168

x = 168/8

x = 21

Answer:

answer is d

Step-by-step explanation:

The graphs below have the same shape. What is the equation of the blue
graph?

Answers

Answer:

for this graph the answer is D

the length of a rectangle exceeds its width by 12 inches, and the area is 85 square inches. what are the length and width of the rectangle?

Answers

Answer:l=17, w=5

Step-by-step explanation:

What is the equation of the line shown written in slope-intercept form?





y = -2
y = 2
x = 2

Answers

Answer:

The equation of the line is y = 2.

Step-by-step explanation:

When a line is horizontal, it's gradient will be 0. So you have to substitute the coordinates into the equation, y = mx + b, to find the b :

[tex]y = mx + b[/tex]

[tex]let \: m = 0 \\ let \: x = 5 \\ let \: y = 2[/tex]

[tex]2 = 0(5) + b[/tex]

[tex]b = 2[/tex]

[tex]y = 2[/tex]

Answer:

it would be Y=2 as it's a horizontal line at y=2

An Isosceles triangle, with the base 48 cm, height 32 cm.
What is the length of the two equal sides? (In cm).

Answers

Answer:

The length of each side is 40 cm

Step-by-step explanation:

Divide the base in half

48/2 = 24

Then use the Pythagorean theorem

a^2 + b^2 = c^2 with the 1/2 base and the height as the legs

24^2 + 32^2 = c^2

576+1024 = c^2

1600 = c^2

Take the square root

sqrt(1600) = sqrt(c^2)

40 = c

The length of each side is 40 cm

Answer:

40 cm

Step-by-step explanation:

Side²= (Base/2)²+height²= (48/2)²+32²= 1600

Side= √1600= 40 cm

Which of the following is the solution to (x)+19<3

Answers

Answer:

x < -16

Step-by-step explanation:

Any number less than -16 will work. So x could equal -12309 or -109 or -50 and even -19234870237503 would work.

To find which inequalities of x work, simply subtract 19 on both sides.

Answer:

x < -16

Step-by-step explanation:

x + 19 < 3

Subtract 19 on both parts.

x < 3 - 19

x < -16

The cost in dollars C(x), where x is the number of miles driven, of renting a car for a day is C(x)=1.95x+32. What is the independent variable and its units? ______ (dollars, miles, miles per dollar, or dollars per mile) - select the correct units What is the dependent variable and its units? ______ (miles or dollars) - select the correct units

Answers

Answer:

the independent variable is 32 (price of the car in dollars) as it stands alone without a variable and 1.95 is the dependent (cost per mile)

If sin θ = 3/5 find the value of 4 tanθ + 3 sinθ – 6 cosθ

Answers

Step-by-step explanation:

If sine theta is 3/5, taking the sine inverse will give you 36.87°.

4tan theta is 4 × tan36.87 = 3

3sin theta = 3 × sin36.87 = 1.8

6cos theta is 6× cos36.87 = 4.8

Therefore, it becomes 3 + 1.8 - 4.8 = 4.8 - 4.8

The answer is 0

Answer:

[tex] \boxed{\sf 0} [/tex]

Given:

[tex] \sf sin \theta = \frac{3}{5} [/tex]

To Find:

[tex] \sf 4tan \theta + 3sin \theta - 6cos \theta[/tex]

Step-by-step explanation:

[tex]\sf As \ we \ know, \\ \sf sin 37 \degree = \frac{3}{5} \\ \\ \sf \therefore \ sin \theta = sin 37 \degree \\ \\ \sf \implies \theta = 37 \degree[/tex]

[tex]\sf \implies tan \theta = \frac{3}{4} \\ \\ \sf \implies cos \theta = \frac{4}{5}

[/tex]

[tex]\sf So, \\ \sf \implies 4tan \theta + 3sin \theta - 6cos \theta \\ \\ \sf Putting \ the \ values \ of \ tan \theta , sin \theta \ and \ cos \theta \ respectively: \\ \sf \implies ( 4 \times \frac{3}{ 4}) + (3 \times \frac{3}{5}) - (6 \times \frac{4}{5} ) \\ \\ 4 \times \frac{3}{ 4} = 3: \\ \sf \implies \boxed{3} + (3 \times\frac{3}{5}) - (6 \times \frac{4}{5} ) \\ \\ \sf 3 \times 3 = 9: \\ 3 + \frac{\boxed{9}}{5} - (6 \times \frac{4}{5} ) \\ \\ \sf 6 \times 4 = 24: \\ \sf 3 + \frac{9}{5} - \frac{\boxed{24}}{5} \\ \\ \sf Put \ 3 + \frac{9}{5} - \frac{24}{5} \ over \ the \ common \ denominator \ 5: \\ \sf \implies 3 \times \frac{5}{5} + \frac{9}{5} - \frac{24}{5} \\ \\ \sf \implies \frac{15}{5} + \frac{9}{5} - \frac{24}{5} \\ \\\sf \implies \frac{15 + 9 - 24}{5} \\ \\ \sf 15 + 9 = 24: \\ \sf \implies \frac{\boxed{24} - 24}{5} \\ \\ \sf 24 - 24 = 0: \\ \sf \implies \frac{\boxed{0}}{5} \\ \\ \sf \implies 0 [/tex]

Name the line and plane shown in the diagram. I will make you a brainllest

Answers

Answer:

see below

Step-by-step explanation:

The line is AB with ↔ over it

The Plane requires 3 letters not all in a line

The plane name is ABD

which of the following is the correct graph of the linear equation below? y+2=1/5(x-1)

Answers

Answer:

Step-by-step explanation:

Solve the equation 3 - 2x = 9

a) x = 3
b)x = -3
c) x = 6
d) x = -6

Answers

Answer:

X=-3

Option B is correct ...

[tex]solution \\ 3 - 2x = 9 \\ or \: - 2x = 9 - 3 \\ or \: - 2x = 6 \\ or \: x = \frac{6}{ - 2} \\ x = - 3[/tex]

hope this helps..

Good luck on your assignment...

Answer:

[tex] \boxed{\sf (b) \ x = -3} [/tex]

Step-by-step explanation:

[tex] \sf Solve \: for \: x: \\ \sf \implies 3 - 2x = 9 \\ \\ \sf Subtract \: 3 \: from \: both \: sides: \\ \sf \implies (3 - \boxed{3}) - 2x = 9 - \boxed{3} \\ \\ \sf 3 - 3 = 0 : \\ \sf \implies - 2x = 9 - 3 \\ \\ \sf 9 - 3 = 6 : \\ \sf \implies - 2x = \boxed{6} \\ \\ \sf Divide \: both \: sides \: of \: - 2 x = 6 \: by \: - 2: \\ \sf \implies \frac{ - 2 x}{ - 2} = \frac{6}{ - 2} \\ \\ \sf \frac{ - 2}{ - 2} = 1 : \\ \sf \implies x = - \frac{6}{2} \\ \\ \sf \implies x = - \frac{3 \times \cancel{2}}{ \cancel{2}} \\ \\ \sf \implies x = - 3[/tex]

The number of diners that currently eat at Harry's is 5/8 of those that eat at Lloyd's. If the number of diners at both restaurants increases by 24, the 13/19 number of diners who eat at Harry's will be of the number who eat at Lloyd's. How many diners currently eat at Harry's?

Answers

Answer:

im confused ill try to find answer n help you.

Step-by-step explanation:

i will give brainliest 99 points!

Answers

Answer:

C

Step-by-step explanation:

Plug the values of f(x) and g(x) into the equation.

(8x^3 + 16x^2 -15)/2x+1

Then divide or simplify

I'm not exactly sure how to explain how to divide this but I'm sure of my answer

Hope this helps!

Answer:

C

Step-by-step explanation:

There is a jar of green and red marbles. If there are 21 marbles total and the ratio of green to red is 3:4, how many red marbles are there?

Answers

Answer:

12 red marbles

Step-by-step explanation:

You make an equation: 3x+4x=21

Then, you get 7x=21.

By using algebra, you get x=3.

Then you muliply 3 by 4 since the ratio of red marbles is 4.

So you get 12.

Answer:

There are 12 red marbles

Step-by-step explanation:

green : red : total

3           4       3+4=7

We want a total of 21

21 /7 =3

Multiply by 3

green : red : total

3*3       4*3   7*3

 9         12     21

Please help me with this math problem, urgent please

Answers

Answer:

(1/2) y^5

Step-by-step explanation:

1/( 2y^-5)

1/2 * 1/ y^-5

We know that 1/ a^-b = a ^ b

(1/2) y^5

How can the transformation shown be described? Check all that apply. dilation isometric transformation nonrigid transformation reflection rotation stretch

Answers

Answer:

C). Nonrigid transformation.

F). Stretch

Step-by-step explanation:

Transformation in mathematics is defined as the alteration or variation in the shape of an object without altering the lengths by using a flip, turn, slide, or resizing.

The transformation 'Hexagon ABCDEF → hexagon A'B'C'D'E'F'' would best be described as the 'non-rigid' and 'stretch' transformation. Non-rigid because it alters the shape or size of the figure both vertically as well as horizontally. It would be considered a stretch transformation as it is resized by a pull from both the vertical and horizontal angles. Thus, options C and F are the correct answers.

Answer:

c and f

Step-by-step explanation:

8 1/6 × 12 solve the equation ​

Answers

Answer:

Step-by-step explanation:

8 1/6=49/6

49/6*12=49*2=98

if this is the question 81÷6(81/6) ×12

Answer:

243

EXPLANATION:

A school drama department sells 40 more student tickets than adult tickets. Charging $8 for adult tickets and $6 for student tickets, the drama department raises a total of $1,920 in ticket sales . Let x represent the number of adult tickets and y represent the number of student tickets sold. Which system of equations can be used to find how many of each ticket is sold?

Answers

Answer:

Adults = x

Students = y = x + 40. 40 more student than adult

Adult = $8,  Student = $6

Total for Adults = 8*x = 8x

Total for students = 6*y = 6y

Total = $1920

8x + 6y = 1920

y = x + 40

8x + 6y = 1920

Step-by-step explanation:

Above

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