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3 years ago

Help me PLEASEEEEEEEEEEEEE

Mathematics

1 answer:

Andrej [43]3 years ago

4 0

The correct answer is 2.5 cm

Explanation:

In any polygon, the area refers to the total space occupied by the polygon. In the case of triangles, the area can be calculated by multiplying the base and height and then dividing the by 2. This means b x h / 2 = area of a triangle. According to this, the area of the triangle presented is 15

5 cm (base) x 6 cm (height) = 30 cm

30 cm / 2 = 15 cm (total area)

This also means the area of the rectangle is 15 considering both figures have the same area. Additionally, the area in rectangles is calculated by multiplying the length base by the width. This implies in the case presented 6 cm x w cm = 15 cm (total area), and you can determine the value of w by using a simple equation as

6 x w = 15

w = 15 / 6

w = 2.5

Also, you can know this is the correct value because 6 cm (length) x 2.5 (width) = 15 cm which is the correct area

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How many 0.75 pound packages can be made with 6 pounds of sunflower seeds?

Andrej [43]

If you would like to know how many 0.75 pound packages can be made with 6 pounds of sunflower seeds, you can calculate this using the following steps:

6 pounds of seeds / 0.75 pound packages = 8 packages

Result: You can make 8 0.75 pound packages.

4 0

3 years ago

Read 2 more answers

Which of the following is not equal to sin⁡(-230°)?

xenn [34]

From trigonometry we know that:

if $sin(\theta)=sin(\alpha)$

then, $\theta=n\pi+(-1)^n\alpha$ (where $n$ is an integer)

This can be rewritten in degrees as:

$\theta=n(180^{\circ})+(-1)^n\alpha$ .............(Equation 1)

Now, in our case, $\alpha=-230^{\circ}$

Therefore, (Equation 1) can be written as:

$\theta=n(180^{\circ})+(-1)^n(-230^{\circ})$ ..........(Equation 2)

Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of $\theta$ that match.

For n=2, (Equation 2) gives us: $\theta=2\times 180^{\circ}+(-1)^2(-230^{\circ})=360^{\circ}-230^{\circ}=130^{\circ}$ .

Thus, $sin(230^{\circ})=sin(130^{\circ})$

Now, we know that: $-sin(-50^{\circ})=sin(50^{\circ})$

Let n=-1, then:

$\theta=(-1)\times 180^{\circ}+(-1)^{-1}(-230^{\circ})=-180^{\circ}+230^{\circ}=50^{\circ}$

Thus, $sin(-230^{\circ})=-sin(-50^{\circ})$

Likewise, $sin(-230^{\circ})=sin(50^{\circ})$

Only the last option $sin(-50^{\circ})$ will never match $sin(-230^{\circ})$ because no integral value of $n$ will ever give $\theta=-50^{\circ}$

Thus the last option is the correct option.

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3 years ago

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What is the value of the fourth term in the geometric sequence

ivanzaharov [21]

Answer:

a(4) = 15/4

Step-by-step explanation:

Here we're told that the first term is a(1) = 30 and that the common factor r = 1/2.

Thus, the geometric sequence formula specific to this case is

a(n) = 30(1/:2)^(n-1).

What is the fourth term? Let n = 4,

a(4) = 30(1/2)^(4-1), or a(4) = 30(1/2)^(3), or a(4) = 30(1/8) = 30/8, or, in reduced form,

a(4) = 15/4.

6 0

3 years ago

SAT Help

posledela

Well, their speeds are ( $V_1$ is Jack's speed, and $V_2$ is Richard's.
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They, together, can paint 12 houses in 35 days. To get a single house, we only have to calculate $\frac{35}{12}$ which is very close to 3 (a bit below)

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3 years ago

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How do I solve this system of equations by adding, subtracting, or multiplying? <br> x-y=8;x+y=12

Natasha2012 [34]

By substitution.
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3 years ago