If Angle 1 and 2 are complementary, and Angle 1 measures 33 degrees, what is the measure of Angle 2

Answer:

62 degrees

Step-by-step explanation:

Since we know 3 sides of the triangle, we can use law of cosines.

[tex] {gk}^{2} = {gh}^{2} + {kh}^{2} - 2(gh)(kh) \times \cos(h) [/tex]

[tex] {8}^{2} = {17}^{2} + {15}^{2} - 2(17(15) \times \cos(h) [/tex]

[tex]64 = 289 + 225 - 510 \times \cos(h) [/tex]

[tex]64 = 314 - 510 \times \cos(h) [/tex]

[tex] - 250 = - 510 \times \cos(h) [/tex]

[tex] \frac{250}{510} = \cos(h) [/tex]

[tex] \frac{25}{53} = \cos(h) [/tex]

Take the arcos or cosine inverse

[tex] \cos {}^{ - 1} = \frac{25}{53} [/tex]

Which is about 62 degrees.

Answer:

5b?

cause ^-2 and b^-3 are going to be shortened..

I hope it's correct..

Answer:

$35,000

Step-by-step explanation:

Given data

Fixed salary= $2,500

Commission= 10%

Sandy wants to earn $6,000 this month

Let the total earning be y and the sales be x

Therefore the expression for Sandy's earning is given as

y=2500+0.1x---------------1

when y= $6,000

substitute in 1 and solve for x

6000=2500+0.1x

6000-2500=0.1x

3500=0.1x

x= 3500/0.1

x= $35,000

Hence the amount of sales will be $35,000

Answer:

kmkioppppppppoiiu yw quip all cm ms all pure 100.00

Answer:

SSS

Step-by-step explanation:

It will be SAS or AAS or ASA if there is the little angle sign that looks like a semi-circle in the corner. But the Lines in the side of the tringles indicate side not angle

Answer:

Step-by-step explanation:

b

Answer:

B)  C)  and E)    (i just took this in USA TestPrep

Step-by-step explanation:

Answer:

All of them

Step-by-step explanation:

All the listed answers are greater than the side marked 11.  I don't know if this drawing is to scale, but even the answer 12 if you would make the triangle into two smaller right triangles from the vertex of angle ? and 6 to the side marked 11  

Answer:

(3x + 8) (3x - 8)

Step-by-step explanation:

Not sure if you need the steps

Answer: Si fuera de los que solo fuman sería del 43,5% si solo de los que lo beben sería del 20,5% si fueran los dos sería del 59%.

Step-by-step explanation:

The percentage of the population smokes or drinks is 52%.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

We are given that;

The drink is half, third and quarter of the percentage

The sum of these percentages must be 100%, so we can write an equation:

x + (1/2)x + (1/3)x + (1/4)x = 100

To solve for x, we need to simplify and isolate x. We can do this by multiplying both sides by 12, the least common multiple of 2, 3, and 4:

12x + 6x + 4x + 3x = 1200

25x = 1200

x = 1200/25

x = 48

This means that 48% of the population neither smokes nor drinks. Therefore, the percentage of the population that smokes or drinks is:

(1/2)x + (1/3)x + (1/4)x

= (1/2)(48) + (1/3)(48) + (1/4)(48)

= 24 + 16 + 12

= 52

Therefore, the percentage answer will be 52%.

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ2

The complete question is;

In a city, the percentage of the population that smokes and drinks, the one who only smokes and the one who only drinks, it is half, third and quarter of the percentage that neither smokes nor drinks. Determine what percentage of the population smokes or drinks.

Answer:

512 ft.

Step-by-step explanation:

From the parking lot at the Red Hill Shopping Center, the angle of sight (elevation) to the top of the hill is about 25. From the base of the hill you can also sight the top but at an angle of 55. The horizontal distance between sightings is 740 feet. How high is Red Hill? Show your subproblems.

Solution:

Let x be the distance from the base of the hill to the middle of the hill perpendicular to the height, let h be the height of the hill. Therefore:

tan 25 = h/(x + 740)

h = (x + 740)tan 25       (1)

tan 55 = h / x

h = x tan 55        (2)

Hence:

(x + 740)tan 25 = xtan 55

0.4663(x + 740) = 1.428x

0.4663x + 345.07 = 1.428x

0.9617x = 345.07

x = 359 ft.

h = xtan55 = 359 tan(55) = 512 ft.

Answer:

what are you asking?

Step-by-step explanation:

Answer:

[tex]A(n) = 500 * (\frac{9}{10})^{n-1[/tex]

[tex]A(11) = 174.34[/tex]

Step-by-step explanation:

Given

[tex]f(n) = 500[/tex]

[tex]g(n) = (\frac{9}{10})^{n-1[/tex]

Represent the combination of f(n) and g(n) with A(n)

So, we have:

[tex]A(n) = f(n) * g(n)[/tex]

This gives:

[tex]A(n) = 500 * (\frac{9}{10})^{n-1[/tex]

To calculate the 11th term, we make use of n = 11

[tex]A(11) = 500 * (\frac{9}{10})^{11-1[/tex]

[tex]A(11) = 500 * (\frac{9}{10})^{10[/tex]

This gives:

[tex]A(11) = 500 * (0.9)^{10}[/tex]

[tex]A(11) = 500 * 0.3486784401[/tex]

[tex]A(11) = 174.33922005[/tex]

Approximate to 2 dp

[tex]A(11) = 174.34[/tex]

Answer:

3.2

Step-by-step explanation:

3.2t when t=1

replace t with 1 so 3.2(1)

hence =3.2

Answer:

Working together, Bill and Tom painted a fence in 8 hours. ... Ben can wash 500 dishes in 2 hours, so, by dividing, I find that he can do 250 ..

Answer:

4y+12x

Step-by-step explanation:

I dont have time to type sry

Answer:

5.428571

Step-by-step explanation:

[tex]5\frac{3}{7}[/tex]

take the fraction and divide that:

[tex]\frac{3}{7} =0.428571[/tex]

then just add 5:

5 + 0.428571 = 5.428571

or...

convert the mixed fraction to improper fraction:

[tex]5\frac{3}{7} = \frac{38}{7}[/tex]

divide like normal:

[tex]\frac{38}{7} = 5.428571[/tex]

9514 1404 393

Answer:

  (d)  539 mm³

Step-by-step explanation:

The total volume is the sum of the volumes of the parts. The volume of each part is the product of its dimensions.

volume of bottom part

  V = LWH

  V = (13 mm)(7 mm)(4 mm) = 364 mm³

volume of the top part

  V = (5 mm)(7 mm)(5 mm) = 175 mm³

Then the total volume is ...

  364 mm³ +175 mm³ = 539 mm³ . . . volume of the figure

Answer:

Step-by-step explanation:

2y + 3<11                       Subtract 3 from both sides

2y < 11 - 3

2y < 8                           Divide by 2

2y/2 <8/2                  

y < 4

The question is very hard to answer. That's because the answer is very close to 4, but it is not 4.

For example 3.8 is a possible answer. Try it

2*3.8 + 3 < 11

7.6 + 3 < 11

10.6 < 11

But is that the largest value possible? No.

For example

y could be 3.99999999 Well maybe that could be the answer. No it isn't. Because, though very close to 11, it still cannot be 11. It might round to 11, but it does not equal 11.

I don't exactly know what you are expected to answer. I can only say that y cannot be 4, but it can be as close to 4 as you care to make it. If the question means what is the largest integer that y could be, then the answer is 3.

Answer:-150t-110

Step-by-step explanation:

-10(5t+5)-10(10t+6)

-50t - 50 - 100t - 60

=

-150t-110

Given:

The pairs of angles are:

36°,24°

18°,72°

96°,84°

To find:

Whether each pair of angle measurements are complementary, supplementary or neither.

Solution:

Two angles are complementary if there sum is 90 degrees.

Two angles are supplementary if there sum is 180 degrees.

For 36° and 24°,

[tex]36^\circ+24^\circ =60^\circ[/tex]

So, this pair is neither complementary not supplementary.

For 18° and 72°,

[tex]18^\circ+72^\circ =90^\circ[/tex]

So, this pair is complementary.

For 96° and 84°,

[tex]96^\circ+84^\circ =180^\circ[/tex]

So, this pair is supplementary.

Answer:

g(x) is red and f(x) is blue. f(x) has been moved three units down the y-axis.

Answer:

x²-3 if x² vertical transformation shift DOWN 3 units

Step-by-step explanation:

vertical transformation shift DOWN 3 units

Answer:

[tex]\sqrt[4]{16x^{3} }[/tex]

Step-by-step explanation:

Solve using the formula : [tex]a^{\frac{x}{n} } =\sqrt[n]{a^{x} }[/tex]

Answer:

I guess the answer is 0.4x+3.2=y (0.4 equals to 2/5 ) .

Answer:

2.875c

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

180=2x+6x+20

180=8x+20

160=8x

20=x

Answer: (x + 7)^2 + (y + 5)^ =9

Step-by-step explanation: