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LuckyWell [14K]

3 years ago

9

(1-cos^2 60°)+(1-sin^2 60°)=tan^2 60°

1 answer:

Aloiza [94]3 years ago

7 0

(1-cos^2 60°)= sin^2 60°
(1-sin^2 60°) = cos^2 60°
Sin^2 60° + cos^2 60°= tan^2 60°

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HELP MEEEEEEEEE<br><br> how many grams are in 562 dg?

Law Incorporation [45]

Answer: the answer is 56.2 g

Step-by-step explanation:

562 dg * 1 g/10 dg = 56.2 g

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3 years ago

Hilary bought two new books for $5.25 each and three used books for $2.50 each. Shipping costs $5.00 total for the first two ite

KatRina [158]

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Step-by-step explanation:

7 0

3 years ago

Can someone help me on this im so confused

devlian [24]

Answer:

y

Step-by-step explanation:

A constant in an equation for example the equation 3x-7=5, the constant would be 7 and 5, the coefficient would be 3, the variable would be x and lastly, the subtraction sign would be the operator. So the answer would be y.

7 0

2 years ago

In The autumn 40% of the leaves on a tree are yellow and 24% of them are green the remaining 72 leaves are half yellow how many

Charra [1.4K]

Percentage of yellow leaves on a tree during Autumn = 40%

Percentage of green leaves on a tree during Autumn = 24%

Percentage of half yellow leaves on the tree during Autumn :

$= \tt100 - 40 + 24$

$= \tt 100 - 64$

$= \tt 36 \%$ Thus, the percentage of half yellow leaves on the tree during Autumn = 36%

Number of half yellow leaves on the tree = 36%

Let the total number of leaves on the tree be x.

Which means :

$= \tt36 \% \: of \: x = 72$

$= \tt \frac{36}{100} \times x = 72$

$= \tt \frac{36 \times x}{100} = 72$

$= \tt \frac{36x}{100} = 72$

$= \tt 36x = 72 \times 100$

$= \tt36x = 7200$

$= \tt x = \frac{7200}{36}$

$\color{plum} = \tt \: x = 200$

Thus, total number of leaves on the tree = 200

Number of yellow leaves on the tree :

$= \tt40 \% \: \: of \: \: 200$

$= \tt \frac{40}{100} \times 200$

$= \tt \frac{40 \times 200}{100}$

$= \tt \frac{8000}{100}$

$\color{plum} \tt = 80 \: yellow \: \: leaves$

Thus, total number of yellow leaves on the tree = 80

Number of green trees on the tree :

$= \tt24 \% \: \: of \: \: 200$

$= \tt \frac{24}{100} \times 200$

$= \tt \frac{24 \times 200}{100}$

$= \tt \frac{4800}{100}$

$\color{plum} = \tt 48 \: green \: \: leaves$

Thus, the total number of green leaves on the tree = 48

Since the sum of all types of leaves form 200[80+48+72=200], we can conclude that we have found out the correct number of each type of leaf.

▪︎Therefore, <em>the total number of leaves on the tree = 200</em>

3 0

3 years ago

Triangle ABC is translated to create triangle DFG, as shown below.

Anton [14]

Answer:

$x=3$

$y = 9$

Step-by-step explanation:

Given

The translated triangles

Required

Find x and y

We have:

$AB = DF$

$BC = FG$

$AB = DF$ means:

$3(2x + 10) = 12x + 12$

Open bracket

$6x + 30 = 12x + 12$

Collect like terms

$12x - 6x = 30 -12$

$6x = 18$

Divide by 6

$x=3$

$BC = FG$ means

$2y + 12 = 2(2y - 3)$

Open bracket

$2y + 12 = 4y - 6$

Collect like terms

$4y - 2y = 12+6$

$2y = 18$

Divide by 2

$y = 9$

5 0

3 years ago