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3 years ago

Find the size of angle xyz give your answer to 3 significant figures

Mathematics

1 answer:

KengaRu [80]3 years ago

8 0

Answer:

Step-by-step explanation:

This is a right triangle, so we can use SIN,COS,TAN to solve for the angle.

We want ∠YXZ

THe side opposite to the angle is given as 20

The side adjacent to the angle is given as 8

Which trig ratio relates "opposite" and "adjacent"??

It is Tan!!

Thus, we can write:

$Tan(\angle YXZ)=\frac{20}{8}\\Tan(\angle YXZ)=\frac{5}{2}\\Tan(\angle YXZ)=2.5\\\angle YXZ = ArcTan(2.5)\\\angle YXZ = 68.2$

THis is the angle

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Insert 2 geometric means between -32 and 4

denis23 [38]

Answer:

16, -8

Step-by-step explanation:

Let the terms of the geometric sequence be $a, ar, ar^2, ar^3$ .

We know that $a=-32$ and thus, $-32r^3=4 \implies r=-1/2$ .

This means $ar=(-32)(-1/2)=16$ and $ar^2=-32(1/2)^2=-8$ .

6 0

1 year ago

There are 30 students in Mrs. Taylor's kindergarten class. If there are twice as many students with blond hair as with blue eyes

weqwewe [10]

Answer:

Step-by-step explanation:

Let e represent the number of students with blue eyes. Then the number of students with blond hair is 2e. The total number of students is ...

3 + e + 2e -6 = 30

We subtracted 6 because the expressions e and 2e cause the 6 students with both blond hair and blue eyes to be counted twice.

3e = 33 . . . . add 3 and simplify

e = 11

11 students have blue eyes.

5 0

3 years ago

To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes the amount of nicotine foun

QveST [7]

Answer:

We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 31.7 milligrams

Sample mean, $\bar{x}$ = 28.5 milligrams

Sample size, n = 9

Alpha, α = 0.05

Sample standard deviation, s = 2.8 milligrams

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 31.7\text{ milligrams}\\H_A: \mu < 31.7\text{ milligrams}$

We use One-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{28.5 - 31.7}{\frac{2.8}{\sqrt{9}} } = -3.429$

Now, $t_{critical} \text{ at 0.05 level of significance, 8 degree of freedom } = -1.860$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and accept the alternate hypothesis. We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

3 0

3 years ago

How do i answer this question 5*(8-4)/4-2

NemiM [27]

the answer is 3

but a way to work these problems out is to use PEMDAS

p-parentheses

e-exponent

m-multiplication

d-division

a-addition

s-subtraction

they have to be donr in that order or the answer will come out different

6 0

3 years ago

The mean radius of Main Street Park is 15 km and the mean radius of Uptown Park is 8 km. What is the approximate difference in t

Temka [501]

Step-by-step explanation:

circumference= 3.142*diameter

Diameter of main Street park is 30

Diameter of uptown park is 16

3.142*30=94.26

3.142*16=30.272

94.26-30.272=43.988

round off to tenth =44.0km

5 0

2 years ago