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Svetlanka [38]
3 years ago
11

HELP PLS!!

Mathematics
2 answers:
Aleksandr [31]3 years ago
6 0

Answer:

A

Step-by-step explanation:

Completing the rectangle formed by legs 9 and 7 , gives us a right triangle on the left.

Using the sine ratio and the exact value sin45° = \frac{1}{\sqrt{2} } , then

sin45° = \frac{opposite}{hypotenuse} = \frac{9}{y} = \frac{1}{\sqrt{2} } ( cross- multiply )

y = 9\sqrt{2}

Using the tan ratio in the right triangle and the value tan45° = 1 , then

tan45° = \frac{opposite}{adjacent} = \frac{9}{adj} = 1

adj = 9

Then

x = 9 + 7 = 16

Vilka [71]3 years ago
5 0

Answer:

A

Step-by-step explanation:

Thanks to the given angle, we can say that the triangle formed by tracing another height has two congruent legs

So

x = 9 + 7 = 16

y = √2 * 9^2 = 9√2

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Find the length of diagonal HJ. Round to the nearest hundredth.
Alisiya [41]

Answer:

The length of the diagonal HJ is 10.82 units

Step-by-step explanation:

* Lets revise the rule of the distance between two points

- d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}, where

 (x_{1},y_{1}) and (x_{2},y_{2}) are the two points

* Lets use this rule to find the length of the diagonal HJ

∵ The coordinates of point H are (-4 , 3)

∵ The coordinates of point J are (5 , -3)

∴ x_{1}=-4 and x_{2}=5

∴ y_{1}=3 and y_{2}=-3

- Lets find the length of the diagonal HJ by using the rule above

∴ HJ = \sqrt{(5-(-4))^{2}+(-3-3)^{2}}=\sqrt{(5+4)^{2}+(-6)^{2}}

∴ HJ = \sqrt{(9)^{2}+36}=\sqrt{81+36}=\sqrt{117}=10.81665

∴ HJ = 10.82

* The length of the diagonal HJ is 10.82 units

7 0
3 years ago
What is the reciprocal for 2 2/5​
wariber [46]

Answer:

5/12

Step-by-step explanation:

2 2/5 = 12/5 so its reciprocal is 5/12

Reciprocals are fractions that are basically "flipped". You flip the denominator to the numerator and vice versa.

5 0
3 years ago
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Sara cuts a pie into halves.How many pieces are there?
kifflom [539]

Answer:

2 Pieces

Mostly depends how much slices are there

Step-by-step explanation:

Every element is called half the whole by all equal sections. Similarly, the half fraction is defined as the whole half component of both of the two equivalent sections of the rectangle.

Hope this helps

3 0
3 years ago
Read 2 more answers
HELP FAST
taurus [48]

Answer:

yes

Step-by-step explanation:

no

3 0
3 years ago
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Identify the parent function that can be used to graph the function f(x)= -2x+2
iris [78.8K]

Answer: OPTION C

Step-by-step explanation:

2. The parent function of a linear function is the simplest form of a linear function and this is:

f(x)=x.  Because from this function we can make transformations that allow us to obtain the function f(x) = -2x + 2

3. If you take the parent function and make f(x)-1, then you have:

f(x)-1=x-1 (The function is shifted down 1 unit on the y-axis).

4. Then you make -2f(x), as following:

y=-2(f(x)-1)=-2x+2 (The function is reflected in the y-axis).

5. That is how you obtain the final function.

8 0
3 years ago
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