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Simora [160]
1 year ago
13

What is the measure of ∠w, rounded to the nearest degree? 19° 19° 32° 32° 56° 56° 71° 71° a horizontally-aligned scalene triangl

e u v w. side u v is labeled as 35 meters. side v w is labeled as 30 meters. side u w is labeled as 30 meters.
Mathematics
1 answer:
ella [17]1 year ago
7 0

Answer:

  (d)  71°

Step-by-step explanation:

The desired angle in the given isosceles triangle can be found a couple of ways. The Law of Cosines can be used, or the definition of the sine of an angle can be used.

<h3>Sine</h3>

Since the triangle is isosceles, the bisector of angle W is an altitude of the triangle. The hypotenuse and opposite side with respect to the divided angle are given, so we can use the sine relation.

  sin(W/2) = Opposite/Hypotenuse

  sin(W/2) = (35/2)/(30) = 7/12

Using the inverse sine function, we find ...

  W/2 = arcsin(7/12) ≈ 35.685°

  W = 2×36.684° = 71.37°

  W ≈ 71°

<h3>Law of cosines</h3>

The law of cosines tells you ...

  w² = u² +v² -2uv·cos(W)

Solving for W gives ...

  W = arccos((u² +v² -w²)/(2uv))

  W = arccos((30² +30² -35²)/(2·30·30)) = arccos(575/1800) ≈ 71.37°

  W ≈ 71°

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wyatt has (2x-1) one-dollar bills and (4x + 2) five dollar bills. Susan has 3 x dollars more than Wyatt. Find the total amount o
uysha [10]

Answer:

a) $ 22x -9

b) 44x - 18

c) $319

Step-by-step explanation:

Given that,

number of $1 bills wyatt has = (2x-1)

number of $5 bills wyatt has = (4x + 2)

The total amount of money that Wyatt has in terms of x

(2x - 1) + 5(4x + 2)

= 2x - 1 + 20x + 10

= $ 22x -9

The number of pens that Wyatt can buy if each pen costs 50 cents

$(22x - 9) * 100

= 2200x - 900 cents / 50

= 44x - 18

If x = 21, amount of money Susan will have now if Wyatt gives her half the number of five dollar bills that he has

( 5 (4x + 2) / 2) + ( 2 (21) - 1)

= 215 + 41

= 256

As we know that Susan has $3x more than Wyatt

So,

256 + 3x

= 256 + 3(21)

= $319

5 0
3 years ago
Read 2 more answers
4. Isabelle takes the bus to work. The bus ride to work costs her $2.50 each time. She could buy a bus pass for a one-time fee o
iren [92.7K]

Answer:

6 times.

Exclamation:

You can do 15 divided by 2,50 to get you answer, when you do that you get 6.

(The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest. If my answer was wrong and you got marked wrong for it, I deeply apologize and hope you will forgive me, since everyone makes mistakes sometimes. If you need me to elaborate on my answer or give further explanation on it, please ask and I will do so. If you need to explain your reasoning on your work feel free to use my words- word for word- without crediting me, the answer was made for you anyways! Hope yall learn from my answer and it helps you in the future with assignments, quizzes, test’s, and more!

- •Trix•

( Yes I know my - •Trix• thingy is not my user but it’s what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)

8 0
3 years ago
0. Kevin needs to buy shrubs for his yard. Six shrubs at the nursery cost $72.00. At the garden
Elanso [62]

Answer:

72÷6=12

so at the nursery it cost $12 per shrub

66÷6=11

so at the store it cost $11 per shrub

so if you buy 21 shrubs from the nursery it will cost: 12×21=$252

but if you buy 21 shrubs from the store it only cost: 11×21=$231

$252-$231=$21

7 0
3 years ago
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Whoever answers will get 60 points. Pls answer based off of the answer choices.
AnnyKZ [126]

Hello from MrBillDoesMath!

Answer:

21

Discussion:

$350  at 6% =                              => as "percent" means per 100

350 * (6/100) =                            => as 350 * 6 = 2100

2100/100 =

21

Thank you,

MrB

7 0
3 years ago
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