Select the correct answer.
Complete the following analogy with the word that best suits the pattern.
Friendly is to outgoing as biting is to ?

Answer:

5√5

Step-by-step explanation:

Hypotenuse (h) = 15

perpendicular (p) = 10

base (b) = ?

We know by using Pythagoras theorem

b = √h² - p²

= √ 15² - 10²

= √ 125

= 5√5

Hope it will help :)

Answer:

≈11.2

Step-by-step explanation:

a²+b²=c²

10²+b²=15²

100+b=225

-100 on both sides

b= √125= 11.2

Step-by-step explanation:

sinA=p/h

sinA=12/15

A=sin-¹(4/5)=53.13=53°

<CAB=53°

The measure of ∠CAB is 53°.

The trigonometric function, which comprises the sine, cosine, tangent, cotangent, secant, and cosecant, is one of the six mathematical operations used to describe the side ratios of right triangles (csc).

As per the given data:

From the given diagram, we can clearly understand that the triangle is a right-angled triangle which is right-angled at C.

We have to find out the measure of ∠CAB.

The lengths of the sides BC and AB is also given in the diagram.

For finding out the measure of ∠CAB we can consider BC as the perpendicular and AB as the hypotenuse, and then we have to use the appropriate trigonometric ratio.

The length of the perpendicular BC = 12 units

The length of the hypotenuse AB = 15 units

For relating perpendicular and hypotenuse, we can use the sin trigonometric ratio.

sinθ = Perpendicular / Hypotenuse

sinθ = BC / AB

sinθ = 12 / 15

sinθ = 4 / 5

θ = 53°

The measure of ∠CAB is 53°.

Hence, The measure of ∠CAB is 53°.

To learn more about Trigonometry, click:

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Answer:

5

Step-by-step explanation:

For these types of problems, we can use cross - multiplication.

4/32 = x/40

Notice that since 40 and 32 are both measured in minutes, we put them on the same line.

Now, like the name suggests, we cross multiply the equation, by doing 4 * 40 = 32 * x. Now, we are left with 160 = 32x. After solving this, we get the answer 5.

Answer:

b. Non-proportional

Step-by-step explanation:

A table of values that represents a proportional relationship will have the same ratio of every pair in the given table. That is, y/x will result in the same value all through for every given pair.

The table of values given does not show a proportional relationship, because the ratio of y to x of each given pair of values are different and unequal:

y/x = 3/1 ≠ 5/2 ≠ 7/3 ≠ 9/4

Therefore, it is non-proportional.

hope i help

Answer:

water

Step-by-step explanation:

i can only think about that

Answer:

24 + 10 = 34

Step-by-step explanation:

a. 24 + b. 10 = ?= c. 34

Answer:

Seventy five billion six hundred million

Step-by-step explanation:

2.8 million x 27,000

Answer:

D : $105

Step-by-step explanation:

I use Proportional Reasoning.

part    percent

whole   100  is the formula.

We are looking for the part so we will keep that as "x"

x       35

300   100

100 x 3 is 300. So 35 x 3 is 105. Thats the answer!

Answer:

697.05$

Step-by-step explanation:

Mark as brainliest

Answer:

slope  =  0

Step-by-step explanation:

[tex]m=\frac{change in y}{change in x}[/tex]

[tex]m=\frac{4-4}{2-1}[/tex]

[tex]\frac{0}{1}[/tex]

Divide  0  by  1 .

m  =  0

good luck, hope this helps :)

Answer:

serían 136 y sobran 2

Step-by-step explanation:

porque al ser una botella de 10 litro y 1362 los dividimos nos da la cantidad de 136 se puede hacer mentalmente

Answer:

10 times.

Step-by-step explanation:

He rolls all the dice independently, so The expected number of 3's is 60 * (expected number of 3's in one throw).

The expected number of 3's in one throw is:

5/6 * 0 + 1/6 * 1 = 1/6

because 5/6 of the time we roll zero 3's and 1/6 of the time we roll one 3 :D

So he should expect (60 * 1/6 = 10) 3's in 60 throws.

Answer:

36?

Step-by-step explanation:

Answer:

-10 and 3

Step-by-step explanation:

-10 x 3 = -30

-10 + 3 = -7

Answer: -10 and 3

Step-by-step explanation:

-10 x 3 = -30 and -10 + 3= -7

Answer:

y+9=3/4(x-8)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-9)=3/4(x-8)

y+9=3/4(x-8)

Answer:

Write

csc

4

x

as

1

sin

4

x

and

cot

4

x

as

cos

4

x

sin

4

x

⇒

csc

4

x

−

cot

4

x

=

1

sin

4

x

−

cos

4

x

sin

4

x

=

1

−

cos

4

x

sin

4

x

Now recall that

a

2

−

b

2

=

(

a

−

b

)

⋅

(

a

+

b

)

and use this fact with

a

2

being and

b

2

being

cos

4

x

so that

a

is 1 and b is

cos

2

x

So

csc

4

x

−

cot

4

x

=

1

−

cos

4

x

sin

4

x

=

(

1

−

cos

2

x

)

⋅

1

+

cos

2

x

sin

4

x

But

cos

2

x

+

sin

2

x

=

1

so that

1

−

cos

2

x

=

sin

2

x

so

csc

4

x

−

cot

4

x

=

sin

2

x

⋅

1

+

cos

2

x

sin

4

x

=

1

+

cos

2

x

sin

2

x

=

(

1

sin

2

x

)

+

(

cos

2

x

sin

2

x

)

=

c

s

x

2

x

+

cos

2

x

Step-by-step explanation:

Answer:

so cot^6 (x) =cot^4 (x) csc^2 (x)-cot^4 (x) then you just manipulate the right side cot^4(x)csc^2(x)-cot^4(x) =cot^6(x) which is true

Step-by-step explanation:

Answer:

124°

Step-by-step explanation:

this

will surely

help

Answer:

angle C is 126°

Step-by-step explanation:

angle C + 56° = 180° (linear pair)

angle C = 180°- 56°

angle C = 124°

Answer:

3.50378787879

Step-by-step explanation:

Answer:

Exact Form:

925

___

264

Decimal Form:

3.503

^^78

Mixed Number Form:

     133

3   ___

    264

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Answer:

mines says 5+4x

Step-by-step explanation:

I don't know if u have it

Answer:

The standard deviation of the given data set

 σ =  2.135

Step-by-step explanation:

Step(i):-

Given numbers are 4 2 8 5 7

Mean of the numbers

 [tex]= \frac{4+2+8+5+7}{5}[/tex]

= 5.2

The mean of the numbers (μ) = 5.2

Step(ii):-

x        :    4         2       8        5         7

x-μ     :   -1.2   -3.2     2.8    -0.2     1.8

(x-μ)² :   1.44    10.24  7.84  0.04    3.24

The standard deviation of the given data

            σ = √Σ( x-μ)² / N

           σ  = [tex]\sqrt{ \frac{1.44+10.24+7.84+0.04+3.24}{5}}[/tex]

            σ =  2.135

Answer:

20 points

Step-by-step explanation:

We need to find how many points x a student needs to score on a test worth 50 points to get a test score of 40%.

Let x be the number of points.

ATQ,

[tex]\dfrac{x}{50}=\dfrac{40}{100}\\\\x=\dfrac{50\times 40}{100}\\\\x=20[/tex]

Hence, a student needs 20 points to get a score of 40%.

Answer:

30

Step-by-step explanation:

Answer:

2x^2 - 7x - 15

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

4x=4-12

4x=-8

X=-2

And answer is - 2

Answer:

-2/9*5/6

As it is multiplication we can directly multiply them.

Thus we will get,

(-2*5)/(9*6)

-10/54

And now by converting into the  simplest form we will get,

-5/27

And this is the final answer.