Triangle DEF contains right angle E. If angle D measures 55° and its opposite side measures 7.6 units, what is the measure of side
DF? Round your answer to the nearest hundredth.

A. 5.34 units
B. 6.38 units
C. 9.06 units
D. 9.28 units

Answers

Answer 1

Answer:

D. 9.28 units

Step-by-step explanation:

DF is the hypotenuse of the triangle.

[tex]\frac{sin(A)}{a} =\frac{sin(B)}{b}[/tex]

[tex]\implies \frac{sin(55)}{7.6} =\frac{sin(90)}{DF}[/tex]

[tex]\implies DFsin(55) =7.6sin(90)[/tex]

[tex]\implies DF =\frac{7.6sin(90)}{sin(55)}[/tex]

[tex]\implies DF =9.277886875...[/tex]

[tex]\implies DF =9.28\ \textsf{units (nearest hundredth)}[/tex]


Related Questions

Carol is baking chocolate biscuits. The recipe she is following uses 150 g of
sugar and makes 50 biscuits.
If Carol only has 30 g of sugar then how many of these biscuits can she
make?

Answers

She can make 10 biscuits out of 30g of sugar.

Lend a hand yall! Brainliest Help me out



Explain what is Translation, Rotation, and Reflection.

Answers

Answer:

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

A rotation means turning around a center.

A reflection is a transformation representing a flip of a figure.

Answer:

See below!

Step-by-step explanation:

Translation: "Sliding": moving a shape without rotating or flipping it.

The shape still looks exactly the same, just in a different place.

Rotation: A circular movement.

Rotation has a central point that stays fixed and everything else moves around that point in a circle.

A "Full Rotation" is 360°

Reflection: Coordinate plane: A point reflected across the x or y axis, or x and y axis.

Coordinate plane, Shapes: A shape that is reflected across the x or y axis, or x and y axis. (Staying at the same coordinates).

Slopes: A slope that is reflected across the x or y, or x and y axis.

The standard diameter of a golf ball is 42. 67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0. 002 mm. What is the range of acceptable values? 42. 668 mm to 42. 670 mm 42. 668 mm to 42. 672 mm 42. 670 mm to 42. 672 mm 42. 670 mm to 42. 674 mm.

Answers

The maximum and minimum acceptable diameter of the golf ball in the factory will be 42.672 mm to 42.668 mm.

What is the range?

The range is the difference between the maximum and minimum.

Given to us

The standard diameter of a golf ball is 42.67 mm.

The discrepancy in diameter is more than 0.002 mm.

As it is given to us that the standard diameter of the golf ball is 42.67 mm while the discrepancy in diameter is more than 0.002 mm.

Maximum acceptable diameter = 42.67 mm + 0.002 mm = 42.672 mm

Minimum acceptable diameter = 42.67 mm - 0.002 mm = 42.668 mm

Hence, the maximum and minimum acceptable diameter of the golf ball in the factory will be 42.672 mm to 42.668 mm.

Learn more about Range:

https://brainly.com/question/3507706

Wren's investment manager informed her that she has a dividend yield of 6
from her investment with AB PLC. If the shares of the company currently trade for $20
on the Stock Exchange, what is the total dividend Wren receives if she has 2000
shares in AB PLC?

A. $12000

B. $1200

C. $2400

D. $40000

Answers

C. $2400 is the answer sorry if I’m wrong

-
7. On a number line, what is the distance between –61.5 and – 23.4?

Answers

61.5-23.5=
38.1 I hope this helped!!!

Can someone please help me out with this ??? I’d appreciate it so much

Answers

Answer:

(0, 1)

Step-by-step explanation:

So with the 2 equations you can either choose which to start with but you need to make the X or Y the opposite from the other equation.
1.
4x + 2y = 2 --> 1( 4x + 2y = 2)
3x - y = -1 --> 2( 6x - 2y = -2)

--

6x + 4x = 10x
2y - 2y = 0 (forced to get rid of)
2 - 2 = 0
Left with:
10x = 0 (Divide both sides by 10 to get X alone)
x = 0

-----------------------------------------------------------
(Choose any ORIGINAL equation)
4x + 2y = 2
4(0) + 2y = 2 (substitute)
Left with:
2y = 2 (divide both sides by 2 to get Y alone)

y = 1
-------------------------------------------------------------
Optional:
Chose the other equation (the oposite from above)
Substitute X and Y in 3x - y = -1

3(0) - (1) = -1
Left with: -1 = -1 (check)


Hope this helps


Fatema sold liters of soda at a baseball game. How much is this in milliliters?

Answers

Answer: 1 liter is 1,000 milliliters

Step-by-step explanation:

It’s a conversion rule. Just plug in your liter value. Times your liter by 1000 and you will have your mililiter value.

if 6 people share 56 gummy worms equally how many did each person get

Answers

Step-by-step explanation:

Each will get 9 but 2 will remain

5.3333...

Find the missing length of the longer leg in the
30° – 60° – 90° triangle.
short leg = 2
a 2v3
b7v2
с 67
d 475

Answers

Answer:

A) 2√3

Step-by-step explanation:

Side ratios of 30°-60°-90° triangle:

a : b : c = 1 : √3 : 2

Given:

a = 2

Find b:

2 : b = 1 : √3b = 2*√3/1b = 2√3

Correct choice is A

So

We know the ratio

x:y:z=30:60:90=1:√3:2

Now

x=2

So

2:y=1:√3y=2√3

And

2:z=1/2z=4

Option A

help me with geometry please

Answers

Answer:

44

Step-by-step explanation:

angle a is congruent with d so they have the same angle

16.13.6 kilometers to 23.8 kilometers​

Answers

Answer:

16.13.6km:23.8km

Step-by-step explanation:

4+[2x3 2nd power] +4 divided by 11

Answers

Answer:

22.36

Step-by-step explanation:

4+[2x3 2nd power] +4 divided by 11

translation

4 + (2×3²) + 4 : 11 =

4 + 18 + 4 : 11 =

4 + 18 + 0.36 =

22.36

Need the answer pls help

Answers

Answer:

A = (-4, -6)

B = (-2, -2)

C = (-6, -4)

100 POINTS! Fully correct and explanatory answers only!

In the figure, ∠4 is an exterior angle to triangle ∠A∠U∠L .


(a) What is the angle measurement of Angle 3? Explain the angle relationship you used.



(b) What is the angle measurement of Angle 4? Explain the angle relationship you used.



(c) What is the angle relationship between angles 1, 2, & 3? What do you notice that is similar and different between the angle relationship between angles 1, 2, & 3 and that between 3 & 4?



(d) The combination of which two angles in the triangle equal angle 4? Use your work from Part C to figure out why this is the case, and explain your conclusion.


ANSWER ALL 4 PARTS FULLY AND EXPLANITORY!

Answers

#1

<3 be x

Apply angle sum property

[tex]\\ \rm\Rrightarrow x+25+52=180[/tex]

[tex]\\ \rm\Rrightarrow x+77=180[/tex]

[tex]\\ \rm\Rrightarrow x=103[/tex]

#2

Sum of two Interiors=exterior

<4=25+52=77°

#3

Yes <1 ,<2,<3 have sum 180°.

#4

<2 and <1.

As sum of two Interiors=exterior

need help will give brainliest if i can

Answers

Answer:

Total surface area of the tent that is in a shape like a triangular prism

= 255ft²

Step-by-step explanation:

Find the surface area of the triangles.

height = 5ft, base = 5ft

2 Triangles = 5 × 5 ÷ 2 × 2 = 25ft²

Now for the base.

height = 10ft, base = 5ft

base of triangular prism = 10ft × 5ft = 50ft²

And then, the last 2 rectangles.

height = 10ft, base = 9ft

2 Rectangles = 10ft × 9ft × 2 = 180ft²

Lastly, we add all these up.

25ft² + 50ft² + 180ft²

= 255ft²

Is 1.24 a rational number?

Answers

Answer:

YES

Step-by-step explanation:

Find the missing length of the figure. help yall please give me the steps on doing it I'm confused

Answers

I think it is 6.5 because the bottom sides of the two triangles are congruent; and if they are both congruent and the triangles meet up at the same points, then x must equal 6.5 as well

The sales tax for an item was $26.60 and it cost $380 before tax. Find the sales tax rate. Write your answer as a percentage.

Answers

Answer:

7% sales tax

Step-by-step explanation:

Given the following question:
Sales tax = $26.60
It costs $380 before tax

In order to find the answer, we simply find a random percentage of the original cost before tax.

[tex]\frac{7\times380}{100} =2660\div100=26.6=26.60[/tex]
7% sales tax rate.

Hope this helps.

Find the equation of the line determined by the given information.
10.m= 1; P = (-7, 0)

Answers

Answer:

y = x + 7

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = 1 and (a, b ) = (- 7, 0 ) , then

y - 0 = 1 (x - (- 7) ) , that is

y = 1 (x + 7) ← distribute by 1

y = x + 7 ← in slope- intercept form

A carpenter builds a tree house in the shape of a rectangular
prism. The tree house has a base that measures 8 feet long and 6
feet wide, and its volume is 312 cubic feet.
What is the height of the tree house?

Answers

Answer:

6.5 feet

Step-by-step explanation:

V = lwh

Plug-in the numbers given and solve for h

312 = 8(6)h

312 = 48h

312/48 48h/48

h = 6.5 feet

I WILL MARK CROWN PLEASE HELP

Answers

Answer:

70

Step-by-step explanation:

180-120=60

180-(60+50)=70

Answer:

m∠U = 70°

Step-by-step explanation:

find the missing inside angle, V:

180° - 120°

60°

so now the total interior angle of triangle is 180°

m∠U + 60° + 50° = 180°

m∠U = 180° - 110°

m∠U = 70°

Find the value of the variable x. If your answer is not an integer, write it in simplest radical form with
the denominator rationalized.

Answers

Answer:}}

ok so it has to be between 30 or 90 {9

Step-by-step explanation:

Mathhhhhhhhhhhhhhh!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

93

Step-by-step explanation:

subtract -36 from 57 and you get 93.

Answer:

93

Step-by-step explanation:

57+36=93 that's your answer

PLEASE I NEED HELPPPP

Answers

Answer:

A) (0,6)

Step-by-step explanation:

the y-intercept, if the equation is written in slope-intercept form (y=mx+b) is represented by the 'b' and will be written as an ordered pair with an x-value of zero

After lunch,my family has 1/8 of a pizza left. If I took half of the leftovers for my snack, what fractional part of the pizza is left?

Answers

Answer:

[tex] \frac{1}{16} [/tex]

Step-by-step explanation:

[tex] \frac{1}{8} \times \frac{1}{2} \\ = \frac{1}{16} [/tex]

Therefore, the fractional part is

[tex] \frac{1}{16} [/tex]

Calculate the equation of the following line.

Answers

Answer:

point-slope form: [tex]y+1=\frac{-3}{2}(x-3)[/tex]

slope-intercept form: [tex]y=\frac{-3}{2} x+\frac{7}{2}[/tex]

Step-by-step explanation:

find the slope of the line using two points on the graph, and then you can get your equation in point-slope form. if you need it in slope-intercept form, you can re-arrange your point-slope form equation.

hope this helps :)

Please just answer question 11

Answers

I hope this helps you :)

Answer:

[tex]\mathrm{No\:Solution}[/tex]

Step-by-step explanation:

given that: [tex](p^2 +1)x^2 +2pqx+q^2 = 0[/tex] also its being said that: it has no solutionthus shall we use the formula: b²-4ac < 0

Extra's:

when it has solution:  b²-4ac > 0 when has only one or equal use:  b²-4ac = 0when it has no solution or real numbers:  b²-4ac < 0

Now lets solve:

[tex](p^2 +1)x^2 +2pqx+q^2 = 0[/tex]

[tex](p^2 +1)x^2 +(2pq)x+q^2 = 0[/tex]

using b²-4ac < 0:

[tex](2pq)^2 - 4 * (p^2 +1 )(q^2 ) <0[/tex]

[tex]4p^2 q^2 - 4p^2q^2 -4q^2<0[/tex]

[tex]-4q^2 < 0[/tex]

[tex]\mathrm{No\:Solution\:for}\:p\in \mathbb{R}[/tex]

Sorry, I am just dum, What would be the area of this triangle? It is in demos and that last line underlined was just added to complete the triangle or else there would be no bottom line for the triangle.

Answers

Answer:

A = 5 units²

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = AC = 5 and h = AB = 2 , then

A = [tex]\frac{1}{2}[/tex] × 5 × 2 = 2.5 × 2 = 5 units²

On average, an American hummingbird flaps its wings about 3,180 times per minute.

About how many times per second does it flap its wings?




Enter your answer in the box.

Answers

Answer: 53 times per second.

Step-by-step explanation:

3180(flaps per min) Divided by 60(seconds in a min) = 53

53 times per a second

The local farms market sells peppers at five for 4.75 what is the constant of proportionality

Answers

Answer:

4.75

Step-by-step explanation:

Each pepper or product of pepper costs $4.75

So the unit rate is 4.75/pepper

The unit rate is considered as the slope of the line, or also known as the constant or proportionality. As the Number of peppers increase, the price increases proportionally.

The constant of proportionality is 4.75

-Chetan K

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