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3 years ago

The measure of the angles of a triangle are shown in the figure below. solve for x.

Mathematics

1 answer:

alexandr402 [8]3 years ago

7 0

Answer:

X = 23

triangle angles sum = 180

67 + 49 + (3x-5) = 180

3x + 111 = 180

3x = 69

x = 23

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Julie makes and sells shirts for children and adults. She sells the shirts for $20 per unit. Material for

Alisiya [41]

Answer:

Julie need to sell at least 45 shirts to break even.

Step-by-step explanation:

The selling cost of each shirt = $ 20

Cost of each shirt = $6

The fixed cost per month = $420

Number of shirts she can make = 80

Hence, the <u>cost of making 80 shirts</u> = 80 x $6 = $480

So, her total capital investment of the month

= Cost of shirts made + Fixed cost = $420 + $480 = $900

Now, let us assume she sell k number of shirts.

⇒ $20 x k = $900

or, k = 900 / 20 = 45

or, k = 45

Hence, Julie need to sell at least 45 shirts to break even.

6 0

3 years ago

Let f(x) = tan(x) - 2/x. Let g(x) = x^2 + 8. What is f(x)*g(y)?

Tema [17]

Answer:

$f(x)\times g(y)=y^2tan(x)+8tan(x)-\frac{2y^2}{x}-\frac{16}{x}$

Step-by-step explanation:

We are given that

$f(x)=tan(x)-\frac{2}{x}$

$g(x)=x^2+8$

We have to find $f(x)\times g(y)$

To find the value of $f(x)\times g(y)$ we will multiply f(x) by g(y)

$g(y)=y^2+8$

Now,

$f(x)\times g(y)=(tanx-\frac{2}{x})(y^2+8)$

$f(x)\times g(y)=tan(x)(y^2+8)-\frac{2}{x}(y^2+8)$

$f(x)\times g(y)=y^2tan(x)+8tan(x)-\frac{2y^2}{x}-\frac{16}{x}$

Hence,

$f(x)\times g(y)=y^2tan(x)+8tan(x)-\frac{2y^2}{x}-\frac{16}{x}$

5 0

3 years ago

A baker uses 3/4 cup of honey in one of his cakes. There are 60 calories in 1/8 cup of honey.

lutik1710 [3]

what is the question asking

6 0

3 years ago

A new park was designed to contain two circular gardens. Garden A has a diameter of 50 m, and garden B has a diameter of 70 m. T

Nastasia [14]

Answer:

$5,811.95\ m^2$ of fabric.

Step-by-step explanation:

-The amount of fabric needed is equivalent to the area of the two gardens.

-We calculate the combined areas as:

$A=A_s+A_b\\\\=\pi r^2+\pi R^2\\\\=\pi(25^2+35^2)\\\\=1850\pi \ m^2\\\\=5811.95\ m^2$

Hence, 5811.95 sq meters of fabric will be needed to cover the area of both gardens.

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4 years ago

24677899655995468385477/2468427843686545744

Musya8 [376]

It is 283747489393939

5 0

3 years ago