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3 years ago

11

The equation x+(75.3−x)=75.3 represents the sum of two angles. How many possible combinations of angle measures satisfy these co

nditions? Please Help!!

1 answer:

VARVARA [1.3K]3 years ago

3 0

Answer:

smaller angle = x

larger angle = 3x + 8

x + 3x + 8 = 180

4x + 8 = 180

4x = 172

x = 43

The smaller angle measures 43 degrees.

The larger angle measures 137 degrees.

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You are making fruit baskets using 54 apples, 36 oranges, and 73 bananas. Explain why you cannot make identical fruit baskets wi

liq [111]

The bananas are not an equal number so you would not have the same amount unless you take one out.

7 0

3 years ago

Tania is buying a guitar. Guitar Central has 20% off coupons available, and has the guitar Tania wants for $349. Music Mart has

Ksju [112]

Answer:

Music Mart offers a better deal, given that the price of the guitar is $ 219 compared to $ 279.20 for Guitar Central.

Step-by-step explanation:

Since Tania is buying a guitar, and Guitar Central has 20% off coupons available, and has the guitar Tania wants for $ 349, while Music Mart has the guitar Tania wants for $ 419, but is offering a $ 200 rebate, to determine which is the better deal the following calculations must be performed:

Guitar Central

100 - 20 = 80

349 x 0.8 = X

279.20 = X

Music mart

419 - 200 = X

219 = X

Therefore, Music Mart offers a better deal, given that the price of the guitar is $ 219 compared to $ 279.20 for Guitar Central.

7 0

3 years ago

Suppose that a brand of lightbulb lasts on average 1730 hours with a standard deviation of 257 hours. Assume the life of the lig

Debora [2.8K]

Answer:

P [ 1689 ≤ X ≤ 2267 ] = 54,88 %

Step-by-step explanation:

Normal Distribution

Mean μ₀ = 1730

Standard Deviation σ = 257

We need to calculate z scores for the values 1689 and 2267

We apply formula for z scores

z = ( X - μ₀ ) /σ

X = 1689 then

z = (1689 - 1730)/ 257 ⇒ z = - 41 / 257

z = - 0.1595

And from z table we get for z = - 0,1595

We have to interpolate

- 0,15 0,4364

- 0,16 0,4325

Δ = 0.01 0.0039

0,1595 - 0,15 = 0.0095

By rule of three

0,01 0,0039

0,0095 x ?? x = 0.0037

And 0,4364 - 0.0037 = 0,4327

Then P [ X ≤ 1689 ] = 0.4327 or P [ X ≤ 1689 ] = 43,27 %

And for the upper limit 2267 z score will be

z = ( X - 1730 ) / 257 ⇒ z = 537 / 257

z = 2.0894

Now from z table we find for score 2.0894

We interpolate and assume 0.9815

P [ X ≤ 2267 ] = 0,9815

Ths vale already contains th value of P [ X ≤ 1689 ] = 0.4327

Then we subtract to get 0,9815 - 0,4327 = 0,5488

Finally

P [ 1689 ≤ X ≤ 2267 ] = 0,5488 or P [ 1689 ≤ X ≤ 2267 ] = 54,88 %

8 0

3 years ago

Simplify the ratio 24:135

kap26 [50]

The answer is 8:45. Enjoy!

5 0

3 years ago

Read 2 more answers

triangular park ABC has sides 3 m, 5 m, and 6 m. a gardener ravi wants to put a fence all around it and also plant grass inside.

Mariana [72]

Step 1) Check if the given triangle lengths form a right triangle

3^2 + 5^2 = 6^2

9 + 25 = 36

36 = 36

Step 2) Solve for the area of the triangle

Formula: A = 1/2 x base x height

A = 1/2 x 3 x 5

A = 1/2 x 15

A = 7.5 m^2

Step 3) Solve for the perimeter of the triangle

Formula: P = sum of all sides

P = 3 + 5 + 6

P = 14 m

Ravi needs to plant 7.5m^2 of grass and put up a fence that is 14m in total length.

Hope this helps!! :)

7 0

3 years ago