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OLga [1]
3 years ago
9

Find the missing side lengths. Leave your answer as radicals in simplest form.

Mathematics
1 answer:
Oksanka [162]3 years ago
5 0

Answer:

x = y = 2

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = \frac{1}{\sqrt{2} } , then

sin45° = \frac{opposite}{hypotenuse} = \frac{x}{2\sqrt{2} } = \frac{1}{\sqrt{2} } ( cross- multiply )

x \sqrt{2} = 2\sqrt{2} ( divide both sides by \sqrt{2} )

x = 2

The triangle is isosceles, base angles both 45°, then legs are congruent, so

x = y = 2

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You walk 2 miles from your house to the park and 4.5 miles from the park to the lake. Then you return home along a straight path
pshichka [43]
If they took the same route home itll be 13 miles
8 0
3 years ago
Read 2 more answers
Who every gets it right will get Brainly and 20points
Andreyy89

Answer: Third multiple choice

Step-by-step explanation:

First answer:

Since the fraction is increased by 7, we need to check if the increasing factor is the same for the bottom part of the fraction:

2.54*7=17.78\neq 17.68

The first answer doesn't match, we do the same for all three remaining answer.

2)12*7=84\neq 74

3)36*7=252

4)3.28*7=22.96\neq22.86

In this case, the answer is the third multiple choice.

6 0
3 years ago
URGENT: I need to solve this problem: 4 - (-6), but that's not all, I'm not really good at math and I need step by step answers
Rama09 [41]

Answer:

10  

3.59

6 7/12

Step-by-step explanation:

4 - (-6)

= 4+ 6 ( because when we multiply the negative sign with the negative sign we get a positive sign or a plus sign)

= 10  

-2.5 + 6.1 -10.3 - (-7.79) -4 + 6 1/2

= -2.5 + 6.1 -10.3 +7.79 -4 + 6.5 [ (-*-=+) ( converting 6 1/2 into decimal = 6.5)]

= 6.1+7.79+ 6.5 -2.5 -10.3-4   { adding the + numbers and - numbers separately}

= 20.39 - 16.8        { subtracting the totals of + and - numbers}

= 3.59

8 5/6 + (-2 1/4)

=  53/6   - 9/4   { Converting into improper fractions}

=  53( 2) - 9(3)/12          { Taking LCM = 12}

= 106-27/12

= 79/12

= 6 7/12

{ Converting into improper fractions and vice versa}

  • we multiply the denominator with the whole number and add it to the numerator to get the improper fraction.( 8 5/6= 53/6)
  • we divide the numerator with the denominator the answer gives the whole number and the remainder gives the numerator of the proper fraction.  ( 79/12 = 6 7/12)

{ Taking LCM = 12}

Factors of 6 are 3 and <u>2</u>

Factors of 4 are 2 and <u>2</u>

Least Common Multiple is taking the common factors and multiplying it with the rest . 2 is common in both . It will be taken once and then multiplied with the other 2 and 3 so we get

LCM = 2*2*3= 12

3 0
4 years ago
An athletics club has junior
Brums [2.3K]

Answer:

The total number of members are 128 members

Step-by-step explanation:

From the question, mixing the ratio of children to adult, we have ;

7:9

There are 16 more adult members

So if there are x children, then there are 16 + x adults

Thus, the total number of members will be;

16 + x + x = 2x + 16

Now, we have that;

7/16 * (2x + 16) = x

7(2x + 16) = 16x

14x + 112 = 16x

16x-14x = 112

2x = 112

x = 112/2

x = 56

The total number of members is thus;

2(56) + 16 = 128

6 0
3 years ago
13. Higher Order Thinking According
chubhunter [2.5K]

Answer:

From the diagram associated with this question it can be seen that the first bounce was 1 units high, thus the second bounce is 1 / 2 = 0.5 units high and the third bounce is 0.5 / 2 = 0.25 = 1/4 units high.

Given that B represents the second bounce and C represents the first bounce, the fractions in hundredths that should be written at points B is 0.50 while at point C is 0.25

Step-by-step explanation:

please mark me brainliest

7 0
2 years ago
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