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3 years ago

Determine value of a

Mathematics

1 answer:

S_A_V [24]3 years ago

6 0

For this case we have that by definition of trigonometric relations that the sine of an angle is equal to the opposite leg to the angle on the hypotenuse. That is to say:

$Sin (43) = \frac {a} {26}$

Clearing the value of "a":

$a = 26 * sin (43)\\a = 26 * 0.68199836\\a = 17.73195736$

Rounding off we have:

17.7

Answer:

Option B

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Find the gradient of the line Joining the points p(-2,6) and Q(3,-2)

Rudiy27

Answer:

$- \frac{8}{5}$

Step-by-step explanation:

$\boxed{gradient = \frac{y1 - y2}{x1 - x2} }$

(x₁, y₁) is the 1st coordinate while (x₂, y₂) is the 2nd coordinate.

Gradient of the line

$= \frac{6 - ( - 2)}{ - 2 - 3}$

$= \frac{6 + 2}{ - 5}$

$= - \frac{8}{5}$

7 0

3 years ago

The next day, another group spent a total of $61. Each person in this group paid for general admission, and one person bought a

Ivahew [28]

Answer:

Step-by-step explanation:

Here is the full question :

This sign shows admission fees and ticket prices for a museum :

General Admission: $18

Tickets to Special Exhibits $7

Tickets to Movies $6

Note: Tickets to the Special Exhibit and the Movie are in addition to the General Admission fee

The next day, another group spent a total of $61. Each person in this group paid for general admission, and one person bought a special exhibit ticket. How many people were in this group?

If only one person bought a special exhibit ticket, the amount spent on general admission = 61 - 7 = $54

Since everyone would have to pay the general admission ticket, we can determine the number of people in the group

number of people in the group = total amount spent on general admission / price of general admission per person

= $54 / $18 = 3

4 0

3 years ago

A can of corn is shaped like a cylinder. The radius of the can is 5 inches and the height of the can is 8 inches. Which measurem

emmainna [20.7K]

Answer:

B) 628.32 cm cubed

Step-by-step explanation:

we know the formula to find the volume of a cylinder is π*r^2*h

where r is the radius and h is the height.

the equation would look like this

π*5^2*8

π*25*8

π*200

628.32 cm

6 0

3 years ago

Read 2 more answers

I’m confused on this one

dedylja [7]

It's a parallelogram so if one angle is 90 degrees they all will be because of transverse angles and all that good stuff.

So we're given the diagonal of a rectangle and one side and we're asked to find the other. The diagonal of a rectangle is the hypotenuse of the right triangle whose legs are the sides of the rectangle. So this is a Pythagorean Theorem question in disguise:

$AB^2 + AD^2 = BD^2$

$AD^2 = BD^2 - AB^2$

$AD = \sqrt{ BD^2 - AB^2 }$

$AD = \sqrt{149^2 - 51^2} = \sqrt{19400} = 140$

Answer: 140 cm

I don't recall seeing this Pythagorean Triple before.

3 0

3 years ago

calculate how much 1% salt solution must be mixed with how much 5% salt solution to make 100 milliliters of 2% salt solution. yo

Setler79 [48]

Let x be the amount (the volume in milliliters) of the 5% solution to be mixed.

Then the volume of the 1% solution is 100-x milliliters.

Then your "concentration" equation is

%280.01%2A%28100-x%29+%2B+0.05%2Ax%29%2F100 = 0.02,

or, equivalently,

100-x + 5*x = 200,

which implies

4x = 100 ----> x = 100%2Fx = 25.

Answer: 25 milliliters of the 5% solution must be mised with 100-25 = 75 milliliters of the 1% solution.

7 0

3 years ago