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3 years ago

Find the length of ST In the kite.

Mathematics

1 answer:

kifflom [539]3 years ago

5 0

Answer:

1.29

Step-by-step explanation:

The diagonals of a kite are perpendicular.

Angles QRT and SRT are congruent.

In right triangle STR, for angle TRS, ST is the opposite leg, and SR is the hypotenuse. The sine ratio relates the opposite leg to the hypotenuse, so we use the sine ratio to find the length of segment ST.

sin <TRS = opp/hyp

sin <TRS = ST/SR

sin 23 deg = ST/3.3

ST = 3.3 * sin 23 deg

ST = 1.29

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what is 7.5 x 10 to the negative 3rd power + 5.8 x 10 to the negative 3rd power in scientific notation

Nastasia [14]

The answer is $1.33*10^-3$ , or 0.0133.

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3 years ago

Lines K and N are perpendicular If the slope of line K is -6, what is the slope of Line N

djverab [1.8K]

line N has slope m = $\frac{1}{6}$

given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$

thus line N has slope - $\frac{1}{- 6}$ = $\frac{1}{6}$

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3 years ago

(CO 4) In a sample of 8 high school students, they spent an average of 24.8 hours each week doing sports with a sample standard

AveGali [126]

Answer:

(22.12, 27.48)

Step-by-step explanation:

Given : Significance level : $\alpha: 1-0.95=0.05$

Sample size : n= 8 , which is a small sample (n<30), so we use t-test.

Critical values using t-distribution: $t_{n-1,\alpha/2}=t_{7,0.025}=2.365$

Sample mean : $\overline{x}=24.8\text{ hours}$

Standard deviation : $\sigma=3.2\text{ hours}$

The confidence interval for population means is given by :-

$\overline{x}\pm t_{n-1,\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

i.e. $24.8\pm(2.365)\dfrac{3.2}{\sqrt{8}}$

$24.8\pm2.67569206001\\\\\approx24.8\pm2.68\\\\=(24.8-2.68, 24.8+2.68)=(22.12, 27.48)$

Hence, the 95% confidence interval, assuming the times are normally distributed.= (22.12, 27.48)

6 0

3 years ago

Triple n, then multiply 7 by the result

likoan [24]

Answer:

21n

Step-by-step explanation:

1. triple n = 3(n)

3. multiply 7 = 7(3n) = 21n

4 0

3 years ago

Follow the order of operations and evaluate these expressions. 1) 7+3(9-4)^2÷5, 12/3-4+7^2, (7-3)×3^3÷9, 5(7-3)^2÷(6-4)^3-9, 3×(

vovikov84 [41]

The solution to the first expression - 7+3(9-4)^2÷5 is given as 22.

To get the answer correctly, one must follow rudimentary rules of operations which are coined into the acronym BODMAS.

<h3>What is BODMAS?</h3>

This is the order in which mathematical operations must be executed.
B = Bracket

O = Orders (that is Powers, Indices or roots)

D= Division

M = Multiplication

A = Addition

S = Subtraction

Now lets see how we got 22 from the first set of operations:

<h3>Operation 1 (Example)</h3>

7+3(9-4)^2÷5 =

7+3 (5)^2÷5=

7+3 * 25÷5 =

7+3*5=

7+15=

Following the BODMAS rule and the example in Operation 1 above, we can state the remaining answers as follows:

<h3>

Operation 2</h3>

12/3-4+7^2 = 49

<h3 /><h3>Operation 3</h3>

(7-3)×3^3÷9 = 12

<h3>Operation 4</h3>

5(7-3)^2÷(6-4)^3-9 = 1

<h3>Operation 5</h3>

3×(7-5)^3÷(8÷4)^2-5 = 1

<h3>Operation 6</h3>

9+(3×10)/5×2-12 = 9

See the link below for more about Mathematical Operations:

brainly.com/question/14133018

6 0

2 years ago