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2 years ago

Find y. right triangles

Mathematics

1 answer:

Juli2301 [7.4K]2 years ago

8 0

Answer:

√2

Step-by-step explanation:

Angle ( θ ) = 45

Hypotenuse side = 2

Opposite side = x

Formula : -

sin θ = Opposite side / Hypotenuse side

Note :

The value of sin 45 = 1/√2

sin 45 = x/2

1/√2 = x/2

Cross multiply,

x*√2 = 2*1

x√2 = 2

2 can be simplified as √2 * √2

x√2 = √2*√2

Divide √2 on both sides,

x = √2

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Which of the following statements properly define a variable? Select all that apply. a. Let w represent Enrique's weight b. Let

RoseWind [281]

Answer: c. Let d represent Enrique's distance from home (in miles).

e. Let w represent Enrique's weight in pounds

Step-by-step explanation:

A variable is a particular type of value that denotes an unknown quantity.

It is denotes by using alphabets.
It can change.

To define a variable , we need define a amount or quantity with units and in case of length an exact position is required.

a. Let w represent Enrique's weight

It is not a variable because no units is defined.

b. Let d represent Enrique's distance (in miles).

It is not a variable because the points to establish distance traveled by Enrique is not given .

c. Let d represent Enrique's distance from home (in miles).

It is a variable as both units and position as mentioned.

d. Let d represent Enrique's distance from home.

It is not a variable because no units is defined.

e. Let w represent Enrique's weight in pounds.

It is a variable because unit of weight is mentioned.

Hence, the correct statements that properly define a variable are :

c. Let d represent Enrique's distance from home (in miles).

e. Let w represent Enrique's weight in pounds

4 0

4 years ago

70% of what number is 98

nika2105 [10]

Hello,

Shall we begin?

70% = 98

70%.....................98
100%...................x

70 * x = 98 * 100
70x = 9800
x = 9800/70
x = 140

<span>Answers: 140 is 100%</span>

6 0

4 years ago

Could someone please help me with this

Yuri [45]

Hey there!

Part A: 6,300 kilograms converted to grams would be 6,300,000. Right this into standard form would be the following:

6.3×10 $^2$ = 6,300,000

Part B: We do 7×10 $^-^5$ = 0.00007

0.00007 × 6,3000 = 0.441

0.441 converted to standard notation would be the following:

4.41×10 $^-^1$

Hope this answers your question!

8 0

4 years ago

15m+9n=-6 solve for n

Yanka [14]

Answer:

( - 2 - 5m ) / 3

Step-by-step explanation:

15m + 9n = - 6

9n = - 6 - 15m

Divide by 3 on both sides,

9n / 3 = - 6 / 3 - 15m / 3

3n = - 2 - 5m

n = ( - 2 - 5m ) / 3

3 0

2 years ago

Read 2 more answers

The rectangle shown has length AC = 32, width

Elena-2011 [213]

Answer:

A. 320

Step-by-step explanation:

See attachment for the figure

in order to determine Area of quadrilateral ABDF, we'll use the formula i.e

Area of quadrilateral ABDF = Area of AECD - Area of ΔBCD - Area of ΔDEF ->eq(1)

whereas, area of AECD = (AC × AE)

Area of ΔBCD = 1/2 (BC x CD)

Area of ΔDEF =1/2 ( EF x ED)

Substituting in eq(1)

eq(1)=>

Area of quadrilateral ABDF = (AC × AE) - 1/2 (BC x CD)- 1/2 ( EF x ED)

=(32 x 20) - 1/2(16 x 20) - 1/2(10 x 32)

= 640 - 160 - 160

= 640 - 320

= 320 square unit

Therefore, the area of quadrilateral ABDF is 320 square unit

8 0

3 years ago