The events committee buys 100 flowers for a school dance. The flowers are a

Mathematics

1 answer:

iogann1982 [59]3 years ago

6 0

Answer:

D) 68 carnations & 32 roses

Step-by-step explanation:

First of all, we need to identify the parts of the problem that we already know.

1) The events committee bought a total of 100 flowers.

2) The events committee spent a total of $139 on the carnations and roses, combined.

3) One carnation costs $0.75

4) One rose costs $2.75

We can create a formula to find the price of the flowers:

(x times $0.75) + (y times $2.75)= $139

If we calculate it out, the only option that fits the equation is 68 carnations and 32 roses.

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The sun is behind a building and casting a shadow. How long is the shadow if the building is 25 feet tall and the angle, of the

Nana76 [90]

ANSWER

The length of the shadow is 49 ft to nearest feet.

EXPLANATION

We can find the length of the shadow using the tangent ratio.

Recall that,

$\tan(27 \degree) = \frac{opposite}{adjacent}$
From the diagram, the length of the shadow is the side of the triangle that is adjacent to the 27° angle

$\tan(27 \degree) = \frac{45}{adjacent}$

This implies that,

$adjacent = \frac{45}{tan27 \degree}$

$adjacent = 49 .065$