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AveGali [126]
3 years ago
11

Given: ΔABC. If ∠B = 35°, a = 4.5 cm, and b = 6.0 cm, what is the measurement of ∠A to the nearest tenth of a degree?

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
6 0
We know that

the law of sines established 
a/sin A=b/sin B--------sin A=[a*sin B]/b
a=4.5 cm
b=6 cm
B=35°
so
sin A=[4.5*sin 35°]/6-----> sin A=0.43018
A=arc sin(0.43018)-------> A=25.5°

the answer is the option
<span>C) 25.5° </span>


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a family of 6 goes to the local sandwich shop. All six people order the combination meal, which includes a drink and a sandwich
gogolik [260]

Answer:

No, a reasonable estimate is around 6 times $7 = $42

Step-by-step explanation:

$6.99 is rounded up to 7, and there are 6 people who ordered a $7 meal. And 6 times 7 is 42

8 0
3 years ago
Which of the following has no solution?
Softa [21]

Answer:

(x + 1 s 1) n (x + 12 1)

(x +1<1) n (x + 1 > 1)

Step-by-step explanation:

Just simplify each the statements.

Then compare and and see if the statements are contradictory and therefore FALSE, if so, then there is no solution.

(x + 1<-1) n (x + 1< 1)

(x <-2) n (x < 0) which is true, so there is a solution.

(x + 1 s 1) n (x + 12 1)

this doesn't make sense so there is no solution.

(x +1<1) n (x + 1 > 1)

(x < 0) n (x > 0)

This is not possible, the statements are contradictory and therefore FALSE, so there is no solution.

5 0
3 years ago
Marilyn purchased a book that had a regular price of $19. She used a coupon that reduced the regular price by 15%. Sales tax for
Alika [10]

Answer:

2.80

Step-by-step explanation:

The discount is the regular price times the discount

discount = 19 *15%

discount = 2.85

The new price is the regular price minus the discount

new price = 19-2.85

                 =16.15

Now she has to pay the sales tax

tax = new price * tax rate

tax= 16.15 * 6.5%

     = 16.15 *.065

       =1.05

We add the tax to the new price to get the final price

final price = new price+tax

                = 16.15 +1.05

                =17.20

She pays with a 20 dollar bill

Change = payment - final price

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              = 2.80

4 0
3 years ago
Two tailors, Valentina and Laura, sit down to do some embroidery. Valentina can embroider 2 shirts per hour, and Laura can get t
mina [271]

Answer:

Valentina and Laura finished the same total number of shirts in 4 hours.

Total number of shirts finished by Valentina =23

Total number of shirts finished by Laura =23

Step-by-step explanation:

Suppose that Valentina and Laura finished the same total number of shirts in t hours.

Valentina can embroider 2 shirts per hour and Valentina has already completed 15 shirts.

Total number of shirts finished by Valentina =2t+15

Laura can get through 3 shirts per hour and Laura has completed 11 shirts.

Total number of shirts finished by Laura =3t+11

Therefore,

2t+15=3t+11\\3t-2t=15-11\\t=4

So,

Valentina and Laura finished the same total number of shirts in 4 hours.

Total number of shirts finished by Valentina =2(4)+15=8+15=23

Total number of shirts finished by Laura =3(4)+11=12+11=23

6 0
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The value of x is 7 because 8/24 = 1/3 so find 1/3 of 21
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