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2 years ago

What’s the measure of the angle theta?

Mathematics

1 answer:

11111nata11111 [884]2 years ago

7 0

Answer:

∅ = 50°

Step-by-step explanation:

YOU NEED A CALCULATOR TO SOLVE THIS!

You need to use Law of Sines

$\frac{a}{sinA} =\frac{b}{sinB} = \frac{c}{sinC}$

Here you will be doing $\frac{a}{sinA} =\frac{c}{sinC}$

a and c are the lengths, while A and C are the angles

$\frac{3.46}{sinA} = \frac{2.54}{sin43}$ you want to get the denominators out from underneath so multiply both sides by sinA and sin43

$3.46sin43 = 2.54sinA$

Now you want to get sinA alone so divide both sides by 2.54

$\frac{3.46sin43}{2.54} = sinA$ now get A alone

$sin^{-1} (\frac{3.46sin43}{2.54}) = A$ put that into the calculator

$49.61741033 = A$

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You and five friends have joined baseball.The team membership fee is $50 plus a $5 fee per game to pay the referee.

PtichkaEL [24]

275 beacues if u and 50 five times it would of been 250 but u an the five two the 50 and u and 55 five times and u get 275

7 0

3 years ago

A film student wants to capture a shot of a satellite dish placed at the top of a building. The line of sight between the ground

Vlad1618 [11]

Answer:

34.78 feet

Step-by-step explanation:

1) using the cosine function, I did cos(43)=x/51

This is because cosine is equal to adjacent over hypotnuse

Once I found x, I used the pythagorean theorem to get 34.78 feet

3 0

3 years ago

Margo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the cad

natka813 [3]

Answer:

a little late

205 1/5 is your answer

Step-by-step explanation:

break down the 3-D figure

Find area of triangle A=1/2bh

=1/2(8 inch)(6 9/10inch)

=1/2(8 inch)(69/10 inch)

=138/5 square inch

then multiply two because you have 2 triangles

=138/5 (2)

= 276/5 square inch

= 55 1/5 sq.in

Find area of rectangle

A = lw

=6 1/4 in (8 in)

= 25/4 (8 in.)

= 50 sq. in.

then multiply by 3 because of the three rectangles

= 50 sq. inch (3)

= 150 sq. in.

Add all together

55 1/5 sq. inch + 150 sq. inch = 205 1/5 sq. inch

4 0

2 years ago

Mixed number as a decimal 7 9/18

Lesechka [4]

Answer:

3.5

Step-by-step explanation:

7 0

3 years ago

A card is picked from a standard deck of 52 cards. Determine the odds against and the odds in favor of selecting a red face card

timama [110]

<h3>The probability of picking a red face card from the deck is $(\frac{3}{26} )$ </h3><h3>The probability of NOT picking a red face card from the deck is $(\frac{23}{26} )$ </h3>

Step-by-step explanation:

The total number of cards in the deck = 52

The total number of red( Diamond + Hearts) face cards in the given deck

= 2 Red Queens + 2 Red jacks + 2 Red kings = 6 cards

Let E : Event of picking a red face card from the deck

Now , P( any event) = $\frac{\textrm{The number of favorable observations}}{\textrm{Total number of observations}}$

So, here P(Picking a red face card) = $\frac{\textrm{The number of red face cards}}{\textrm{Total number of cards}} = (\frac{6}{52} ) = (\frac{3}{26})$

Hence, the probability of picking a red face card from the deck is $(\frac{3}{26} )$

Now, as we know P (any event NOT A) = 1 - P(any event A)

So, P(NOT Picking a red face card) = 1 - P(Picking a red face card)

$= 1 - (\frac{3}{26} ) = \frac{26-3}{26} = (\frac{23}{26})$

Hence, the probability of NOT picking a red face card from the deck is $(\frac{23}{26} )$

8 0

3 years ago