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3 years ago

I need help on this ASAP

Mathematics

2 answers:

stepan [7]3 years ago

5 0

75cm²

Explanation:

10 times 15 is 150 and since it is a triangle you divide in half so the answer is 75. And in this case the 18 is not needed.

Advocard [28]3 years ago

3 0

Answer:

75cm²

Step-by-step explanation:

The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. But in this case, there are three sides.

To find the area of a triangle with 3 sides given as 10, 15, and 18, we assume that a = 10, b = 15, and c = 18.

Then the semi-perimeter is, s = (a + b + c)/2 = (10 + 15 + 18)/2 = 21.5. We will find the area of the triangle using Heron's formula.

A = √[s(s-a)(s-b)(s-c)]

= √[8(21. 5-10)(21.5 -15)(21. 5-18)]

= √[21.5 × 11.5 × 6.5 × 3.5]

= √(5625)

≈ 7.5

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Find sin 2x, cos 2x, and tan 2x from the given information. cscx=4,tanx<0.

lutik1710 [3]

Answer:

Step-by-step explanation:

Given the expression cosec (x) = 4 and tan(x)< 0

since cosec x = 1/sinx

1/sinx = 4

sinx = 1/4

From SOH, CAH TOA

sinθ = opposite/hypotenuse

from sinx = 1/4

opposite = 1 and hypotenuse = 4

to get the adjacent, we will use the Pythagoras theorem

adj² = 4²-1²

adj² = 16-1

adj ²= 15

adj = √15

cosx = adj/hyp = √15/4

tanx = opposite/adjacent = 1/√15

since tan < 0, then tanx = -1/√15

From double angle formula;

sin2x = 2sinxcosx

sin2x = 2(1/4)(√15/4)

sin2x = 2√15/16

sin2x = √15/8

for cos2x;

cos2x = 1-2sin²x

cos2x = 1-2(1/4)²

cos2x = 1-2(1/16)

cos2x= 1-1/8

cos2x = 7/8

for tan2x;

tan2x = tanx + tanx/1-tan²x

tan2x = 2tanx/1-tan²x

tan2x = 2(-1/√15)/1-(-1/√15)²

tan2x = (-2/√15)/(1-1/15)

tan2x = (-2/√15)/(14/15)

tan2x = -2/√15 * 15/14

tan2x = -30/14√15

tan2x = -30/7√15

rationalize

tan2x = -30/7√15 * √15/√15

tan2x = -30√15/7*15

tan2x = -2√15/7

5 0

3 years ago

Determining Whether a Difference Is Statistically

SCORPION-xisa [38]

Using the z-distribution, it is found that:

The 95% confidence interval is of -1.38 to 1.38.

The value of the sample mean difference is of 1.74, which falls outside the 95% confidence interval.

<h3>What is the z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm zs$

In which:

$\overline{x}$ is the difference between the population means.

s is the standard error.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.