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UkoKoshka [18]
2 years ago
6

A diver’s final score is 77.7. What is the degree of difficulty of the dive?

Mathematics
1 answer:
krek1111 [17]2 years ago
5 0

Answer: x = 129.5

Step-by-step explanation: f=final score

x= 77.7

x/0.6=f

x=0.6f

x.0.66 x 77.7

x=129.5

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A parallelogram has adjacent sides 25 cm and 6 cm . if one diagonal is 29 cm then find area , height corresponding to the sides
baherus [9]

Answer:

height = 4.8 cm

area = 120 cm²

perimeter = 62 cm

Step-by-step explanation:

<u>**Please refer to the attached diagram when following the step-by-step**</u>

First, find m∠C (green angle on diagram) by using the cosine rule:

c^2=a^2+b^2-2abcos(C)

\implies 29^2=6^2+25^2-2(6)(25)cos(C)

\implies cos(C)= \frac{29^2-6^2-25^2}{-2(6)(25)}

\implies cos(C)= \frac{180}{-300}=-\frac{3}{5}

\implies cos(C)=126.8698976... \textdegree

Therefore, the interior angle of the right triangle at point C (blue angle on diagram) is:

180-cos^{-1}(-\frac{3}{5})=53.13010235... \textdegree

Now use the Sine Rule (for finding sides) to determine height (h):

\frac{6}{sin(90)}=\frac{h}{sin(53.13..)}

\implies \frac{6}{1}=\frac{h}{\frac{4}{5}}

\implies 6 \times \frac{4}{5}=h

\implies h=\frac{24}{5}=4.8

So the height = 4.8 cm

Now we have determined the height, we can calculate the area by using the area of a parallelogram formula:

Area of a parallelogram = base x perpendicular height

⇒ area = 25 x 4.8 = 120 cm²

Parallelogram is a four-sided shape made up of two pairs of straight parallel lines that are equal in length.

Perimeter = sum of the sides

⇒ perimeter = 6 + 6 + 25 + 25 = 62 cm

7 0
2 years ago
Read this scene from The Miracle Worker Act 2.
Likurg_2 [28]

Answer:

The stage directions describe how characters react to Helen.

Step-by-step explanation:

In the given scene, the different characteristics of Helen as well as how other characters react when they see Helen is depicted in the scene. Other characters in the scene react differently to Helen when they come in contact with her. This is the main objective of the stage direction. It shows the interaction between Helen and others.

4 0
2 years ago
Read 2 more answers
A company plans to ship 2,000 packages of chocolate. The company randomly selecta
a_sh-v [17]

Answer:

100 packages

Step-by-step explanation:

If 5 packages out of 100 are incorrect , then there's a 1/20 chance that a package has an incorrect weight

Therefore out of 2000

it's

\frac{1}{20}  \times 2000 = 100

Hope it helps

Sorry I'm not really good at explaining

7 0
1 year ago
(140-x)/(7)+70 = 120. Please answer correctly.
slava [35]
From question,
(140-x)/7+70=120
Or, (140-x)/7=120-70
Or,140-x=50X7
Or, -x=350-140
Or, -x=210
:• x = -210 answers
6 0
2 years ago
Which statements are true? Mark all that apply.
FrozenT [24]

Answer:

A and D

Step-by-step explanation:

3 0
2 years ago
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