Apply the 45º-45º-90º Triangle Theorem to find the length of the hypotenuse of the triangle.

Answers

Answer 1

Answer:

  The sine of the angle = the length of the opposite side. the length of the hypotenuse.

  The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.

  The tangent of the angle = the length of the opposite side. the length of the adjacent side.

Step-by-step explanation:

Answer 2

Answer:

c = a√2

Step-by-step explanation:

Apply the 45º-45º-90º Triangle Theorem to find the length of the hypotenuse of the triangle.

since there is no measure, I will write you the formula:

c (hypotenuse) = a√2


Related Questions

please answer thank you!

Answers

Answer:

1. Median:70, Range:12, IQR: 8

2. Median: 59, Range: 48, IQR: 31

Step-by-step explanation:

Hello, the answers I have are just approximations because I can not tell the specific number in between each mark.

The median is the middle vertical line of the box. The range is you maximum subtracted from your minimum. You can find these at the lines that extend out of the box. The interquartile range is the ends of the box subtracted from each other, meaning quartile 3 subtracted from quartile 1.

Hope this helps.

A. g(x) = 2(x3 + 4)
B. g(x) =
(x3 + 4)

C. g(x) = 2x3 + 4
D. g(x) =x3 + 4

Answers

Answer: C. [tex]g(x)=2x^3+4[/tex]

Step-by-step explanation:

When the coefficient gets larger, the graph will stretch more, getting closer to the y axis.

The answer would be c that’s my guess I’m sorry if that wasn’t the answer but I tried my best to answer it

Someone, please help! I'm really confused

Answers

The correct pair is option E, which is:

FH ≅ FH - reflexive property

ΔGFH ≅ ΔEFH - SAS theorem

What is the SAS Congruence Theorem?

The SAS theorems states that two triangles are congruent if they have two pairs of congruent sides and a pair of congruent included angles.

What is the Reflexive Property?

The reflexive property of geometry states that an angle or line will always be congruent to itself.

In the two column-proof, since FH = FH using the reflexive property, then both triangles are congruent to each other by the SAS congruence theorem.

The missing pair of reasons that completes the proof are:

FH ≅ FH - reflexive property

ΔGFH ≅ ΔEFH - SAS theorem

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A hen lays 3 eggs every 5 minutes. How many eggs will the hen lay in 2 hours?

Answers

Answer:

72

Step-by-step explanation:

2 hrs = 120 min

120 min / 5 min = 24 times in 2 hrs

24 x 3 = 72 eggs in 2 hrs

Answer:

Step-by-step explanation:

3 eggs/5 minutes = x/120 minutes

5x = 360

x = 72 eggs in 2 hours

Please solve the question in the picture​

Answers

Answer:

A. 11"

B. 39"

25 - 15 < x < 25 + 15

10 < x < 40

*x = whole number

Answer:

shortest: 11 incheslongest: 39 inches

Step-by-step explanation:

Given two side lengths for a triangle, the triangle inequality tells you the third side must have a length between the difference and the sum of the given sides.

__

A. minimum length

The difference of the given sides 25 and 15 is ...

  25 -15 = 10

The smallest integer greater than 10 is 11.

The third side must be at least 11 inches long.

__

B. maximum length

The sum of the given sides is ...

  25 +15 = 40

The largest integer smaller than 40 is 39.

The third side must be at most 39 inches long.

_____

Additional comment

Formally, the triangle inequality tells you that sides a, b, c must satisfy ...

  a +b > c  and  b +c > a  and  c +a > b

When we're considering the length of third side (c), there are 3 cases to consider. 1) c is shortest; 2) c is between the other lengths; 3) c is longest. Without loss of generality, we can assume a > b.

1) c is shortest:

a+b>c is always true. b+c>a ⇒ c>a-b (the positive difference)c+a>b ⇒ c>b-a (the negative difference)

conclusion: c > a-b

2) a > c > b:

a+b>c is always true. b+c>a ⇒ c>a-b (the positive difference) c+a>b ⇒ c>b-a (the negative difference)

conclusion: c > a-b

3) c is longest:

a+b>c (the sum)b+c>a ⇒ c>a-b (the difference will be less than the sum)c+a>b ⇒ c>b-a (the negative difference will be less than the sum)

conclusion: a -b < c < a+b . . . . . . for a>b

solve pls brainliest

Answers

Step-by-step explanation:

(−424.9) × (-0.1) = 42.49

2.7 × (−0.5) = -1.35

Answer: Heyaa! ~

Your Answers when Multiped are...

42.49 -1.35

Step-by-step explanation:

-424.9(-0.1)= 42.492.7 × (−0.5) = -1.35

     - Multiplied. -

 Hopefully this helps you! ~

math i will give a lot of points

−5 1/2 −2 1/3

Answers

Answer:

-7 1/6

Step-by-step explanation:

Subtract the whole numbers first.

-5-2 = -7

Now the fractions:

1/2 and 1/3

We need to find a common denominator. It's 6.

So,

for 1/2 multiply the numerator and denominator both by 3. You get 3/6.

Now 1/3:

Multiply 1 and 3 with 2. you get 2/6.

Subtract:

3/6-2/6=

1/6

Putting whole number and fraction togethr: -7 1/6

X+8=-2

O A. x= 10
OB. x=-6
O C. x=6
OD. x= -10

Answers

D is the correct answer

X+8 = -2

x = -8 -2 = -10

Answer: option D

Step-by-step explanation:

X+8=-2

    x= -2-8 (you should make x the subject so you switch the +8 to the other

    x= -10                                                                   side which becomes -8)    

so you get -10 because, if both the numbers have the minus sign then you should add the two values which will be a negative answer. So your answer is option D  

can you go 24.3 miles with 15.3 gallons of gas

Answers

Answer:

yes you can go 24.3miles with 15.3 gallons of gas

Step-by-step explanation:

Liliana wants to write an equivalent expression for n + 3 minus 5 n + 6. Which of her attempts uses the algebraic properties correctly?

Answers

Answer:

n+3-(5n+6)=0

n+3-5n-6=0

5n-n=6-3

4n=3

4n/4=3/4

n=3/4


Identify the range of the function shown in the graph.

Answers

The range of the function shown in the graph are all real numbers.

What is the range of a function?

The range of a function is the set of its possible output values.

The range of a function are the dependent variables.

In other words, the range of a function is the complete set of all possible resulting values of the dependent variable (y), after we have substituted the domain or independent variable.

According to the values of y on the graph the range are all real numbers.

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The vertex of a parabola is at the point (3,1), and its focus is at (3,5). What function does the graph represent?

A.

B.

C.

D.

Answers

When the vertex of a parabola is at the point (3,1), and its focus is at (3,5), the function that the graph represents will be y = 1/16 (x - 3)².

How to illustrate the parabola?

From the information given, the vertex of a parabola is at the point (3,1), and its focus is at (3,5). The equation of the parabola will be:

(x - 3)² = 4a(y - 1)

The length is measured along x = 3. The final equation of the parabola will be:

(x - 3)² = 4 × 4(y - 1) = 16(y - 1)

Therefore, rearranging the equation will become:

y = 1/16 (x - 3)².

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Answer:

why would you ask question with no answer options an think to get the same right answer ?

Step-by-step explanation:

Does the table represent a function? Why or why not?

X Y
3 1
4 3
5 2
6 5
6 6


A. Yes, because every x-value corresponds to exactly one y-value.
B. Yes, because there are different y values.
C. No, because one x-value corresponds to two different y-values.
D. No, because the y values are positive.

Answers

The table does not represent a function because (c) No, because one x-value corresponds to two different y-values.

How to determine the true statement?

The table of values is given as:

X Y

3 1

4 3

5 2

6 5

6 6

From the table of values, we have:

Y = 5 and 6 when X = 6

A table of values that is a function would have a y value of each x value

Hence, the table does not represent a function because one x-value corresponds to two different y-values.

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Condense the expression to the logarithm of a single quantity.

Answers

Answer:

[tex]\log _3\left(\frac{x^{\frac{1}{2}}}{\left(y+8\right)^2}\right)[/tex]

Step-by-step explanation:

-> Apply log rules

[tex]\log _3\left(x^{\frac{1}{2}}\right)-2\log _3\left(y+8\right)[/tex]

->

[tex]\log _3\left(x^{\frac{1}{2}}\right)-\log _3\left(\left(y+8\right)^2\right)[/tex]

-> Apply basic math rules

[tex]\log _3\left(\frac{x^{\frac{1}{2}}}{\left(y+8\right)^2}\right)[/tex]

In the figure, AB and CD are common tangents to two circles of radii 5 cm with centres p
and S respectively and AB = 8 cm. Calculate the length of

Answers

Answer:

24 you used to write about something else

Answer:

Step-by-step explanation:

13 more than three times a number is less than or equal to 7 inequality​

Answers

Answer:

x * 3 + 13 ≤ 7

Step-by-step explanation:

three times a number

x * 3

13 more than that

x * 3 + 13

less than or equal to 7

x * 3 + 13 ≤ 7

Please mark as brainliest

What is the value of angle C

Answers

Answer:

around 190

Step-by-step explanation:

Jun 07, 7:1
What is the volume of a cylinder, in cubic centimeters, with a height of 11 centimeters
and a base diameter of 6 centimeters? Round to the nearest tenths place

Answers

Answer:

311.0

Step-by-step explanation:

pi3^2(11)

pi r^2 (h)

Hope this helps! Let me know if you need anything else!

Find the volume of the cone shown below. 20 16 12

Answers

There is no picture but it’s 768 π

Find the least common multiple of 35 and 21

Answers

Answer:

105

Multiples of 35:
35, 70, 105, 140, 175

Multiples of 21:
21, 42, 63, 84, 105, 126, 147

Answer:

105

Step-by-step explanation:

Given the following question:

We are given two numbers and we are trying to find the least common multiple (LCM) of the two. In order to find the LCM we have to find the GCM or the greatest common multiple.

[tex]35\div7=5[/tex]
[tex]21\div7=3[/tex]
[tex]GCM=7[/tex]

Now that we have the GCM we multiply 35, and 21 then divide it by the GCM.

[tex]35\times21=735[/tex]
[tex]735\div7=105[/tex]
[tex]LCM=105[/tex]

The least common multiple is "105."

Hope this helps.

Please help i will give branliest please

Answers

Answer:

The answer is 18,700

Step-by-step explanation:

if you add 9,500+ 9,000 you get 18,500 add 200 and your answer is 18,700

HELPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

5,6

Step-by-step explanation:

2+8=10/2=5

3+9=12/2=6

5,6

Write the expression for the steps "12 increased by 4 and then double it." Then solve.

Answers

Increased means to add.
Double means to multiply by 2.
The expression:
(12+4)x2

To solve:
Solve brackets first
(16) x 2
= 32

pls help me I can,t do this

Answers

15.75 square inches

what is the answer to the question 83%of 408

Answers

Answer:

338.64

Step-by-step explanation:

set up a proportion x/408=83/100 cross multiply you get 338.64

Answer: 338.64 is the Answer.  

Step-by-step explanation:

83 x 408/100  (First do 83 x 408, then divide the answer by 100.)  

= 338.64

−−→
A
B
=
(
x
y
)
What values should
x
and
y
take?
−−→
A
B
=
(
x
y
)
What values should
x
and
y
take?
Note: Each horizontal or vertical division represents one unit.
X=
Y=

Answers

Answer:

can u make it in a sentence cause I don't understand ur question

Answer:

i don't know

Step-by-step explanation:

what’s a positive divided by a negative

Answers

Answer:

positive cuz positive is greater than negative

determine the radius and center of the circle with the following equation
x^2+y^2-12x+24y-10=6

Answers

Answer:

Center: (6, -12)

Radius: 4

Step-by-step explanation:

Complete the squares

[tex]x^2+y^2-12x+24y-10=6\\\\x^2-12x-10+y^2+24y=6\\\\x^2-12x-10+46+y^2+24y+144=6+46+144\\\\(x^2-12x+36)+(y^2+24y+144)=196\\\\(x-6)^2+(y+12)^2=196[/tex]

Comparing with the standard form equation [tex](x-h)^2+(y-k)^2=r^2[/tex], since [tex]r^2=196[/tex], then the radius of the circle is [tex]r=14[/tex]. Also, the center of the circle would be [tex](h,k)\rightarrow(6,-12)[/tex].

Lynn has scores of 95, 91, and 88 on three tests. Write and solve an equation to find
a fourth score that will produce an average of 90 for the four tests.

Answers

Answer:

86

Step-by-step explanation:

the equation that needs to be made is

(95+ 91+ 88+ x)/4 = 90

this means that the sum of 95, 91, 88, and x is 360.

95 plus 91 is 186. 186 plus 88 is 274

360-274 = 86

give brainliest please!
hope this helps :)

Which of the following equations is quadratic?

A) (x+3)(x+4)= 5
B) 5(4x+2) = 3
C) x(x^2+ 1) = 0

Answers

Option A is correct as if we solve the equation We will find that the above equation can be compared to the standard quadratic equation i.e ax^2+bx+c=0
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