Can a triangle be made using the side lengths of 8, 2, 10?

a
Yes.
b
No, the sum of the shortest sides measures less than the longest side.
c
No, the sum of the shortest sides measure is equal to the longest side.

Answer:

the p-value for this test of hypothesis is 0.0324

Step-by-step explanation:

Given the data in the question;

sample size n = 38

Null hypothesis             H₀ : μ = 20

Alternative hypothesis Hₐ : μ ≠ 20

z = 2.14

Test Statistic;

since its a two tailed test, p-value will be;

⇒ 2 × P( Z > |z| )

= 2 × ( 1 - P( Z < |z| ) )

we substitute in the value of z

= 2 × ( 1 - P( Z < 2.14  ) )

from z score table, P( Z < 2.14 ) = 0.9838

= 2 × ( 1 - 0.9838 )

= 2 × ( 0.0162 )

P-value = 0.0324

Therefore, the p-value for this test of hypothesis is 0.0324

Answer:

Start: x = 141°

141° and x are alternate interior angles and congruent because the lines are parallel

Go left: x = 39°

39° and x are corresponding angles, and therefore congruent

Go down: x = 139°

180 - 41 = 139, the angle next to 41 and x are corresponding angles

Go left: x = 98°

180 - 82 = 98, the angle next to 82 and x are corresponding angles

Go down: x = 102°

102° and x are vertical angles and therefore congruent

Go right: x = 50°

180 - 130 = 50, the angle next to 130 and x are corresponding angles

Go down: x = 74°

corresponding angles

Go right: x = 83°

corresponding angles

Go right: x = 95°

corresponding angles

Go up: x = 18°

corresponding angles

Go left: x = 166°

180 - 14 = 166, consecutive interior angles are supplementary (I'm confused? none of the answers have it but they're definitely consecutive interior...)

I didn't get to finish but I'll attach something that may help you

Answer:

10^20

3^11

3^24

10^12

Step-by-step explanation:

(10^2)^10=10^2*10=10^20

3^3*3^8=3^3+8=3^11

(3^3)^8=3^3*8=3^24

10^2*10^10=10^2+10=10^12

Answer:

7.5 cm: 30 cm

Step-by-step explanation:

The scale is 1 cm: 4cm which is 1/4. The next one would be 7.5 cm: 30 cm because that is also equal to 1/4.

Answer:

The answer is [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

because it grows from 4 units to 6 units or 1.5 times.

Answer:

Each class should get 17 tickets. 4 tickets will be left over.

Step-by-step explanation:

157/9=17.444... -> 17 per class

17 x 9 = 153

157-153= 4 left

Each class should get 17 tickets and 4 tickets will be left.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total tickets= 157

and, Total classroom among which the tickets to be divided= 9.

So, each classroom have

= 157/ 9

= 17 with 4 left

Hence, 17 tickets are divided equally and 4 tickets are left.

Learn more about Unitary Method here:

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Answer:

A

Step-by-step explanation:

Answer:

IJ<JH<HI

Step-by-step explanation:

<H would be 43.

The side across from the smallest angle is the smallest side. IJ

The side across from the middle angle is the middle side. JH

The side across from the largest angle is the largest side. HI

Answer:

3 hr(s)

Step-by-step explanation:

20 km/1 hour

60km/20km = 3

Answer:

[tex]A=227.84\ inch^2[/tex]

Step-by-step explanation:

Given that,

The diameter of the cylinder, d = 5 inch

Hight, h = 12 m

Radius, r = d/2 = 2.5 m

We need to find the surface area of the cylinder. The formula for the surface area of the cylinder is given by :

[tex]A=2\pi rh+2\pi r^2\\\\A=2\times \dfrac{22}{7} \times 2.5\times 12+2\pi \times 2.5^2\\\\A=227.84\ inch^2[/tex]

So, the lateral surface area of the cylinder is equal to [tex]227.84\ inch^2[/tex].

Answer:

66cm is the area of the rectangle

Answer:

Step-by-step explanation:

There are 9 combinations since there is R, Y, B- 3 times it adds up to 9 combinations.

Answer:

c

Step-by-step explanation:

diameter is 2x the radius

Answer:

C. 2 meters

Step-by-step explanation:

If you have the radius multiply it by 2 to get the diameter.

If you have the diameter divide it by 2 to get the radius.

Answer:

15$

Step-by-step explanation:

small car is 5 times smaller so we have to multiply the prise of the small car by 5.

Answer:

nt cbhhujvti'

Step-by-step explanation:

Answer:

B. The equation represents a function, but not a linear function.

Step-by-step explanation:

Equation with x squared:

A equation in which the highest power of x is 2, that is, a term [tex]ax^2[/tex], is called a quadratic function.

In this question:

[tex]y = 4x^2[/tex] is a function.

However, since the highest power of x is 2, it is not a linear function, it is a quadratic function, and the correct answer is given by option B.

Answer:

B

Step-by-step explanation:

Answer:

opposite = 5√2

adjacent 5√2

Step-by-step explanation:

the opposite leg can be determined using

Sin = opposite / hypotenuse

√2 / 2= opposite / 10

opposite = 5√2

the adjacent leg can be determined using

cos = adjacent / hypotenuse

√2 / 2= adjacent / 10

adjacent = 5√2

Answer:

14 full potions or 14 portions and 7/10 of the 15th potion

Step-by-step explanation:

25/1.7=14.7058823529

Answer:

HI, IG, GH

Step-by-step explanation:

First, you need to find the missing angle; do this by subtracting 48 and 89 from 180. This means the missing angle is 43. The smallest side will be across from the smallest angle. So in order of least to greatest, the sides are HI, IG, GH.

Answer:

your final answer would be −6v−6x+8

Step-by-step explanation:

(−4+3x+3v)(−2)

=(−4)(−2)+(3x)(−2)+(3v)(−2) group like terms together

=8−6x−6v combine like terms

= -6v-6x+8 put in standerd form

Answer:

-(-4+3x+3v)2

Step-by-step explanation:

1.) (-4+3x+3v)(-2) = -2(-4+3x+3v)

2.)  (-4+3x+3v)

Remove parentheses: (-a) = -a

Answer:  -(-4+3x+3v)2

Answer:

National Security Council and Office of Policy Development are two of the offices underneath the jurisdiction of the executive office.

Step-by-step explanation:

Hope this helped!!!

Answer:

4m is the answer.

Step-by-step explanation:

a = 3m

b = ?

c = 5m

According to the Pythagoras theorem,

a² + b² = c²

3² + b² = 5²

9 + b² = 25

b² = 25 - 9

b² = 16

b = 4m

∴ The distance between the ladder and the bottom of the slide is 4m.

Answer:

5x^2+10x-3

Step-by-step explanation:

Answer:

Each degree of comparison has its own suffix..

Both the adjectives and adverbs are used to make comparisons. The comparatives and superlatives are also used in writing to hedge or to boost the language. Each degree of comparison has its own suffix. The correct option is A.

The comparative form is used to compare two people, ideas or things. The superlative form with the word 'the' is used to compare three or more. The comparative adjectives are used to compare differences between the two objects they modify (larger, smaller, faster, higher).

The comparative form is used in the sentence where two nouns are compared. The comparative adjectives compare one person or the thing with another and enable us to say whether a person or thing has more or less of a particular quality.

One example of comparative adjective is that Josh is taller than his sister.

Thus the correct option is A.

To know more about comparative degrees, visit;

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Answer:

the function that models the total inventory costs as a function of x is;

$( [tex]\frac{112500}{x}[/tex] + ([tex]\frac{3}{2}[/tex])x )

Step-by-step explanation:

Given the data in the question;

cost of storing the shoes ( Holding cost ) = $ 3 per year

ordering cost ( Co ) fixed = $ 25 per order

cost of each pair = $ 5 per shoe pair

Total demand = 4500 shoe pairs

Total Inventory cost = Holding cost Ordering cost

so

Total Inventory cost = [tex]\frac{4500}{x}[/tex]( $ 25) + [tex]\frac{1}{2}[/tex]× $3 × x

Total Inventory cost = $( [tex]\frac{4500*25}{x}[/tex] + ([tex]\frac{3}{2}[/tex])x )

Total Inventory cost = $( [tex]\frac{112500}{x}[/tex] + ([tex]\frac{3}{2}[/tex])x )

Therefore, the function that models the total inventory costs as a function of x is; $( [tex]\frac{112500}{x}[/tex] + ([tex]\frac{3}{2}[/tex])x )

the answer is 900

Step-by-step explanation:

180= the sum of the angles in a triangle

five triangles, just multiply them

Answer:

11 - 3i = 44 (move 11 to the right side and add minus)

-3i = 44-11

-3i = 33 (dive it by -3)

i = -11