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3 years ago

Find the cosine of ∠J.

Mathematics

1 answer:

antoniya [11.8K]3 years ago

7 0

Answer:

$\cos = \frac{base}{hypotenuse} = \\ \cos(j) = \frac{ \sqrt{29} }{ \sqrt{94} } = \sqrt{ \frac{29}{94} } \\ answer = \sqrt{ \frac{29}{94} }$

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Find the area of the shaded region.

MariettaO [177]

Answer:

Area of shaded region = 134.13 square feet

Step-by-step explanation:

Area of the shaded region = Area of square - Area of circle

$= ( 25 \times 25) - ( \pi 12.5^2)\\= 625 - 490.87\\= 134.13 ft^2$

8 0

3 years ago

Write an expression for the area of a triangle with a height of 2x^2 units and a base of 5x^2+4x units

Stolb23 [73]

Answer:

The area of the triangle is $5x^4 + 4x^3$ square units

Step-by-step explanation:

Given

Shape: Triangle

$Height = 2x^2$

$Base = 5x^2+4x$

Required

The area of the triangle

The area of a triangle is calculated as thus;

$Area = \frac{1}{2}(base)(height)$

By substituting $Height = 2x^2$ and $Base = 5x^2+4x$ ; This gives

$Area = \frac{1}{2}(5x^2 + 4x)(2x^2)$

$Area = \frac{(5x^2 + 4x)(2x^2)}{2}$

$Area = (5x^2 + 4x)(x^2)$

Open Bracket

$Area = 5x^2 * x^2 + 4x * x^2$

$Area = 5x^4 + 4x^3$

Hence, the area of the triangle is $5x^4 + 4x^3$ square units

3 0

3 years ago

Escribe 4 ejemplos de sucesos compuestos en el experimento "sacar cartas de una baraja española"

almond37 [142]

Do you speak English? If so I can help you in the comments!! Have a great day

7 0

4 years ago

Give the property that justifies each step.

hjlf

Answer:

Please check the explanation below.

Step-by-step explanation:

Some of the properties are defined as:

Distributive property

a(b+c) = ab+ac

For example,

suppose a=1, b=2, c=3

1(2+3) = 1(2) + 1(3)

5 = 2+3 = 5

Subtraction property of Equality

if (a=b), then a-c = b-c

For example,

suppose a=1, b=1, c=3

if a = b ⇒ 1 = 1

then a-c = b-c ⇒ 1-3 = 1 - 3 ⇒ -2 = -2

Addition property of Equality

if (a=b), then a+c = b+c

For example,

suppose a=1, b=1, c=3

if a = b ⇒ 1 = 1

then a+c = b+c ⇒ 1+3 = 1+3 ⇒ 4 = 4

Multiplicative property of Equality

if (a=b), then a×c = b×c

For example,

suppose a=1, b=1, c=3

if a = b ⇒ 1 = 1

then a×c = b×c ⇒ 1×3 = 1 × 3 ⇒ 3 = 3

Division property of Equality

if (a=b), then a÷c = b÷c

For example,

suppose a=1, b=1, c=3

if a = b ⇒ 1 = 1

then a÷c = b÷c ⇒ 1÷3 = 1 ÷ 3 ⇒ 1/3 = 1/3

Let's solve the given equation using the above properties.

5(x+10) = 20 Given

5x+50 = 20 1) Distriburive property ∵ a(b+c) = ab+ac

5x = -30 2) Subtraction property of Equality ∵ if (a=b), then a-c = b-c

x = -6 3) Division property of Equality ∵ if (a=b), then a÷c = b÷c

5 0

3 years ago

WORTH MANY POINTS PLEASE HELP..

AlladinOne [14]

Answer:

9.50 + 0.20e = 12.50

Step-by-step explanation:

you start with the 9.50, base price. Then with every photo you pay 0.20, since we don't know how many it is we put a variable. Then we know that those two combined is 12.50, so yeah.

6 0

3 years ago

Read 2 more answers