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3 years ago

Determine which prostulate or theorem can be used to prove

Mathematics

1 answer:

REY [17]3 years ago

3 0

Answer:

S.A.S

EXPLANATION:

SQ=SQ(Common side)

<Q=<Q. (Common angle)

PQ=RQ.

Hope u like it.

PLZ MARK ME AS BRAINLIEST ♥️♥️

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Find x, y and z.

emmasim [6.3K]

Answer:

The values for x = 56, for y = 28 and z = 64

Step-by-step explanation:

1. Let's review the information given for answering the question correctly:

∠2y° and ∠56°are alternate interior angles

∠x °and ∠2y° are alternate interior angles

2. . Let's find the values of x, y and z.

2y = 56

y = 28

Therefore,

∠x ° = ∠2y°

∠x ° = ∠56°

x = 56

Let's recall that all the interior angles of a triangle will always add up to 180°, thus:

∠z° = 180 - 60 - 56

∠z° = 180 - 116

∠z° = 64°

z = 64

8 0

3 years ago

Daniel's print shop purchased a new printer for $35,000. Each year it depreciated at a rate of 5%. What will it's approximate va

Charra [1.4K]

Answer:

dab is cool and fun noice

6 0

3 years ago

Read 2 more answers

If you can solve all parts I will give brainliest (also give strategy)

Alexxx [7]

The Halloween conical hat, with given height, circular base and brim

extension has the following calculated parameters;

Part a. The slant height is 18.2 inches

Part b. The volume of the cone is $37\frac{1}{2} \cdot \pi$ in.³

Part c. The area of the brim, A = 36·π in.²

Part d. The area of the brim is found by subtracting the area of the base of the cone from the area covered by the perimeter of the brim

Reasons:

Known parameters;

Height of the conical portion, h = 18 inches

Base circumference, C = 5·π inches

Part a. Slant height of the conical portion; Required

Solution:

The circumference of a circle, C = 2·π·r

Therefore;

$r = \dfrac{C}{2 \cdot \pi}$

Which gives;

$r = \dfrac{5 \cdot \pi}{2 \cdot \pi} = \dfrac{5}{2} = 2.5$

Radius, r = 2.5 inches

According to Pythagoras's theorem, we have; s² = r² + h²

Where;

s = The slant height of the cone

s² = 2.5² + 18² = 330.25

s = √(330.25) ≈ 18.2

The slant height, s ≈ 18.2 inches

Part b. The measure in cubic inches of candy that exactly fills the conical portion of the hat is the volume of the cone.

$Volume \ of \ a \ cone = \dfrac{1}{3} \cdot \pi \cdot r^2 \cdot h$

Therefore;

$V = \dfrac{1}{3} \times \pi \times 2.5^2 \times 18 = 37\frac{1}{2} \cdot \pi$

The volume of the cone, V = $37\frac{1}{2}$ ·π in.³

Part c. The extension of the brim from the base of the cone = 4 inches

The radius of the brim, R = Radius of the base of the cone + 4 inches

∴ R = 2.5 inches + 4 inches = 6.5 inches

Area of the brim, A = Area of the 6.5 inch circle - Area of the circular base of the cone

∴ A = π × 6.5² - π × 2.5² = 36·π

The area of the brim, A = 36·π in.²

Part d. The procedure for solving the question in part c, is described as follows;

The area of the brim can be found by finding the entire area of the circle formed by the perimeter of the brim, then subtracting the area of the base of the cone from that area.

Learn more here:

brainly.com/question/17023854

4 0

3 years ago

Compare the theoretical probability to the experimental probability of landing on H.

cestrela7 [59]

The correct statement comparing the theoretical and experimental probabilities is given as follows:

$\frac{1}{4} < \frac{7}{25}$ .

<h3>What is a probability?</h3>

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The theoretical probability is taken before any experiment. Since the four sections are equal, the theoretical probability is:

T(H) = 1/4.

The experimental probability is taken considering previous experiments. Out of 100 tosses, 28 landed on H, hence:

E(H) = 28/100 = 7/25.

Hence the correct statement is:

$\frac{1}{4} < \frac{7}{25}$ .

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

4 0

1 year ago

Move two choices to the blanks to correctly complete the sentences.

Pavel [41]

Answer:

(A) There should have been 5 outcomes of HT

(B) The experimental probability is greater than the theoretical probability of HT.

Step-by-step explanation:

Given

$S = \{HH,HT,TH,TT\}$ -- Sample Space

$n(S) = 4$ --- Sample Size

Solving (a); theoretical outcome of HT in 20 tosses

First, calculate the theoretical probability of HT

$P(HT) = \frac{n(HT)}{n(S)}$

$P(HT) = \frac{1}{4}$

Multiply this by the number of tosses

$P(HT) * n= \frac{1}{4} * 20$

$P(HT) * n= 5$

Solving (b); experimental probability of HT

Here, we make use of the table

$P(HT) = \frac{n(HT)}{n(S)}$

$P(HT) = \frac{6}{20}$

$P(HT) = 0.30$ ---- Experimental Probability

In (a), the theoretical probability is:

$P(HT) = \frac{1}{4}$

$P(HT) = 0.25$ ---- Experimental Probability

By comparison;

$0.30 > 0.25$

6 0

3 years ago