which expression is equivalent to sec theta + csc theta/1 + tan theta?

Answer:

(13/2) cm

Step-by-step explanation:

The hypotenuse here is of length 13 cm.  The shorter leg lies opposite to the 30° angle.  Recall that the sine function is defined as

              opposite side

sin Ф = -----------------------

                 hypotenuse

which, in this case, works out to:

                opposite side

sin 30° = -----------------------

                       13 cm

and so the length of the opposite side (which is also the "shorter leg") is

shorter leg length = (13 cm)(sin 30°) = (13 cm)(1/2) = (13/2) cm

Answer:

3=201.6        4=380.13

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

Answer:

474.5 ft³

Step-by-step explanation:

volume of cube = l³ = 9³ = 729

volume of the cylinder = πr²h = π × 3² × 9 = 81π

subtracting,

729-81π = 474.5309951 ft³

Answer:

474.5 ft³

Step-by-step explanation:

Answer:

3x+2

Step-by-step explanation:

distribute "-" into 3x-1 giving you -3x+1, combine like terms on both sides including 6x-3x and you get 3x+2

Answer:

C. 30in

Step-by-step explanation:

[tex]\frac{36}{12} = \frac{x}{10}[/tex]

x = 30

Answer:

The complete sentence is:

Walnuts stay fresh longer in the refrigerator or freezer.

Step-by-step explanation:

A complete sentence is a sentence that displays a complete idea. It comprises of a subject and a predicate that includes verb too.  

From the given two sentences, the complete sentence is the second sentence. 'Walnuts' is the subject and 'stay fresh longer in the refrigerator or freezer' is the predicate. A complete idea about the freshness of the walnuts have been stated in the sentence. On the other hand, the first sentence is a run-on sentence. In such a sentence, two sentences are merged together. This is done by adding the punctuation mark or coordinating conjunction to merge the sentences.

Answer:

Run-on sentence

Step-by-step explanation:

Answer:

x=2 and y=1

Step-by-step explanation:

Rewrite equations:

y=−x+3;y=x−1

Step: Solve

y=−x+3

Step: Substitute−x+3foryiny=x−1:

y=x−1

−x+3=x−1

−x+3+−x=x−1+−x(Add -x to both sides)

−2x+3=−1

−2x+3+−3=−1+−3(Add -3 to both sides)

−2x=−4−2x−2=−4−2

(Divide both sides by -2)

x=2

Step: Substitute2forxiny=−x+3:

y=−x+3

y=−2+3

y=1(Simplify both sides of the equation)

Hope this Helps you :)

Answer:

-1/2 & 3

Step-by-step explanation:

just took the test

Answer:

8y(7x^3-4x+2)

Step-by-step explanation:

Group and factor out the greastest common factor then combine

Answer:

this is my alt here ya go champ

Step-by-step explanation:

Answer:

some examples:

80, 30, 70

80, 10, 90

100, 70, 10

Step-by-step explanation:

angle measures must add to 180 degrees

Dab = square root of ( xa - xb )^2 + (ya - yb)^2

square root of (1 -9 )^2 + (2 - 8)^2

square root of (-8)^2 + (-6)^2

square root of 64 + 36

square root of 100

10 units

Answer:

24÷3+12 would be 20

Step-by-step explanation:

You do 24÷3 which is 8 and then you add 12. I hope this helps!

Answer:

the answer is B

Step-by-step explanation:

when you take the first answer and subtract the second answer from it you get a negitive number of -1.1080325x10+28

Answer:

square root of (2+10)²+(-5+3)²

square root of 144+4

square root of 148

Answer:

I think the answer is y=5x-15

or

y=2x-6

Answer:

C = √185 or 13.6 units.

and cannot be simplified any further because it is irrational.

Step-by-step explanation:

Since the triangle has sides A = 4 units and B = 13 units. With C as its hypotenuse side, from Pythagoras' theorem C² = A² + B².

So, substituting A and B into the equation, we have

C² = 4² + 13²

C² = 16 + 169

C² = 185

taking square root of both sides, we have

√C² = √185

C = √185

C cannot be simplified any further because it is irrational. It is best expressed as √185 which is a surd. C could also be expressed as a decimal. So using your calculator and taking √185, C = √185 = 13.605 ≅ 13.6 units.

Answer:

I think it would be a 20 percent

Step-by-step explanation:

because the 4 red is 40% the blue is another 40% then the green is only 20 I could be wrong though hope this helped

Answer:

b

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

-7 times-5 minus 5=30

The missing value in the output is 30.

A law that relates two variables is called Function.

The function given in the question is

f(x)= -7x - 5

For the input missing in the table

f(x)= - 7 *(-5) -5

f(x)= 30

Therefore the missing value in the output is 30.

To know more about Function

https://brainly.com/question/12431044
#SPJ2

Answer:

its c

Step-by-step explanation:

Answer:

28y + 63 (second option)

Step-by-step explanation:

7(4y + 9)

7 x 4y (28y)

7 x 9 (63)

you would multiply 7 and 4y to get 28y and then multiply 7 and 9 to get 63 and you would add the plus sign to get the full answer which is 28y+63

Answer:

Lawrence was incorrect.

Step-by-step explanation:

Amy: 2(3x) +2(4x + 3)

= 14x + 6 ✓

Kaye: 3x + 3x + 4x + 3 + 4x + 3

= 14x + 6 ✓

Lawrence: 4(3x) + 2(4x)

= 20x Ø

Sufjan: 6 + 3x + 3x + 4x + 4x

14x + 6 ✓

Answer:

Step-by-step explanation:

We will prove the converse of the postulate,

"If a line parallel to one side of a triangle and it intersects other two sides of the triangle, then the line will divide both the sides in the same ratio"

Segment DE intersects AB and BC at D and E respectively,

Ratio of the segments of two sides,

[tex]\frac{AD}{DB}=\frac{CE}{EB}[/tex]

[tex]\frac{22.5}{15}=\frac{24}{40-24}[/tex]

1.5 = 1.5

True.

Therefore, lines AC and DE are parallel.

Answer:

The answer should be D