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2 years ago

PLEASE help me this is a 45°-45°-90° triangle. solve for a.

Mathematics

1 answer:

igor_vitrenko [27]2 years ago

7 0

Answer:

a = 8

Step-by-step explanation:

45° - 45° - 90° triangle

1 - 1 - √2

8 - 8 - √8

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Solve the System and write the solution as an ordered pair. <br><br> 3x+3y=6 <br> 5x-6y=15

Ugo [173]

$\\ \sf\longmapsto 3x+3y=6\dots(1)$

$\\ \sf\longmapsto 5x-6y=15\dots(2)$

Multiply eq(1) by 2 and eq(2) by 1

$\\ \sf\longmapsto 6x+6y=12$

$\\ \sf\longmapsto 5x-6y=15$

$\\ \sf\longmapsto 11x=27$

$\\ \sf\longmapsto x=\dfrac{27}{11}$

Now

Put in eq(1)

$\\ \sf\longmapsto 3\dfrac{27}{11}+3y=6$

$\\ \sf\longmapsto \dfrac{81}{11}+3y=6$

$\\ \sf\longmapsto 3y=6-\dfrac{81}{11}$

$\\ \sf\longmapsto 3y=\dfrac{66-81}{11}$

$\\ \sf\longmapsto 3y=\dfrac{15}{11}$

$\\ \sf\longmapsto y=\dfrac{15}{33}$

4 0

2 years ago

Read 2 more answers

Sara and Sam are each working on a science project in which they need to research the individual masses of the nine planets (inc

makkiz [27]

Answer:

2000 times

Step-by-step explanation:

Given

Sara:

$Mercury = 3.302 * 10^{23$

$Saturn = 5.685 * 10^{26$

Sam:

$Mercury = 3.302 * 10^{29$

$Saturn = 5.685 * 10^{32$

To determine the number of times, the mass of Saturn is greater than the mass of Mercury, we simply do the following:

$Times = \frac{Saturn}{Mercury}$

Using Sara's measurement; this gives:

$Times = \frac{5.685 * 10^{26}}{3.302 * 10^{23}}$

Apply law of indices

$Times = \frac{5.685 * 10^{26-23}}{3.302}$

$Times = \frac{5.685 * 10^3}{3.302}$

$Times = 5.685/3.302 * 10^3$

$Times = 1.72 * 10^3$

Approximate

$Times = 2 * 10^3$

$Times = 2000$

5 0

3 years ago

HELP ASAP

maxonik [38]

Answer:

Shape B

Step-by-step explanation:

If you reflect Shape C over X it fits into Shape D. Then reflected over Z it fits into Shape B. Therefore, the final shape would be B.

6 0

2 years ago

Past experience at the Pasadena Travel Agency indicated that 44% of those persons who wanted the agency to plan a vacation for t

kap26 [50]

Answer: Yes. There there been a significant shift upward in the percentage of persons who want to go to Asia.

Step-by-step explanation:

From the information given in the question, past experience at the Pasadena Travel Agency shows that 44% of people who came to plan a vacation with the agency wanted to go to Asia.

During the most recent busy season, a sampling of 1,000 plans was selected at random from the files. It was found that 480 persons wanted to go to Asia on vacation. The percentage of people who want to go to Asia now will be:

= 480/1000 × 100

= 48%

Therefore, there has been a significant shift upward in the percentage of persons who want to go to Asia.

8 0

3 years ago

Eric has 4 pieces of clay he cut out each piece of clay into thirds how many 1/3 size pieces of clay does Eric have

Ivahew [28]

Answer:

ERIC HAD 12 PIECES OF CLAY LEFT

Step-by-step explanation:

1/3 + 4 = 12

4 0

3 years ago