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Art [367]
3 years ago
14

Select all that are undefined. sec (45°) csc (0°) sec (90°)

Mathematics
2 answers:
lyudmila [28]3 years ago
8 0
Sec(45°) = 1/cos(45°) = 1/(rt(2)/2) = rt(2)

csc(0°) = 1/sin(0°) = 1/0 /undefined/

sec(90°) = 1/cos(90°) = 1/0 /undefined/
Murrr4er [49]3 years ago
3 0

Answer:

csc (0°) and sec (90°) are not defined.

Step-by-step explanation:

Given the options wehave to select the option which is undefinesd

First option: sec 45°

sec45^{\circ}=\frac{1}{cos(45^{\circ})}=\frac{1}{\frac{1}{\sqrt2}}=\sqrt2

which is defined

Second option: csc(0°)

csc(0^{\circ})=\frac{1}{sin0}=\frac{1}{0}=\infty

which is not defined

Third option: sec(90°)

sec(90^{\circ})=\frac{1}{cos(90)}=\frac{1}{0}=\infty

which is not defined.

Hence, option 2 and 3 are not defined.

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Find the height of the triangle by applying formulas for the area of a triangle and
lina2011 [118]

Answer:

Step-by-step explanation:

a= 12 mm ; b = 16 mm  ; c = 18 mm

s = (a + b+c)/2

=\dfrac{12 + 16 + 8}{2}\\\\= \dfrac{36}{2}\\\\= 18\\\\

s -a =  18 -  12 = 6 mm

s  -b = 18 - 16 = 2 mm

s  -c = 18 - 8 = 10 mm

area = \sqrt{s(s -a)(s-b)(s-c)}

       = \sqrt{18*6*2*10}\\\\= \sqrt{2160 }\\\\=46.47\\\\=46 \ mm^{2}\\

\dfrac{1}{2}* \ base * \ height = 46\\\\\dfrac{1}{2}*16* \ height = 46\\\\height = \dfrac{46*2}{16}\\\\

  = 5.75

Height = 5.8 mm

8 0
2 years ago
Read 2 more answers
Find the perimeter of the figure
77julia77 [94]

Answer:

51

Step-by-step explanation:

Hey There!

To find the perimeter of any figure all you have to do is add up all of the side lengths

5+5+7+11+7+16=53

so the perimeter is equal to 51

Note: the 18 is from the bottom length of the figure

you would have to add the 5 and 11

the extra seven is from the very right side length

8 0
3 years ago
Which are true statements
vredina [299]

Answer:

I think its A & B

Two Squares with the same side lengths are always congruent and Two rectangles with the same side lengths are always congruent.

6 0
3 years ago
Bill works for the Stuff It Mailing Service. He receives 25 cents for each document he puts together and prepares for
KATRIN_1 [288]

Answer:

(a)Bill's Total piecework pay =$500

(b)Amount owed by his boss=$26

Step-by-step explanation:

Let the number of documents put together and prepared for mailing by Bill =x

Bill receives 25 Cents=$0.25 for every document

Therefore for x documents, Bill should receive: $0.25x

If Bill prepared 2000 documents for mailing

x=2000

The amount he should receive = $0.25 X 2000 =$500

(a)Bill's Total piecework pay =$500

(b)Amount owed by his boss

=500-474

=$26

3 0
3 years ago
At the Foremost State Bank the average savings account balance in 2012 was $1900. A random sample of 45 savings account balanes
lakkis [162]

Answer:

The calculated  |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Mean of the Population = 1900

Given random sample size 'n' =  45

Mean of the sample x⁻ = 1000

Standard deviation of the sample = 225

<u><em>Null Hypothesis</em></u>:-

There is no difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012.

<u><em>Alternative Hypothesis</em></u> :-

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

<u><em>Step(ii</em></u>):-

Test statistic

        t = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }

        t = \frac{1000-1900 }{\frac{225}{\sqrt{45} } }

       t = -900 /33.54 = -26.517

      |t| = |-26.517|=26.517

Degrees of freedom

                       γ = n-1 = 45-1 =44

t₍₀.₀₁ , ₄₄₎ = 2.326

The calculated  |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

4 0
2 years ago
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