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2 years ago

4.Find the length of the diagonal of a rectangle having dimensions 16 cm and 12 cm.

Mathematics

2 answers:

nignag [31]2 years ago

7 0

Answer:

20 cm

Step-by-step explanation:

So from the problem we get that the two sides of the rctangle are 16 cm 12 cm which are base perpendicular of the right angle triangle. H = 20 cm. So the diagonal of the rectangle = 20 cm.

stiks02 [169]2 years ago

7 0

Answer:

20 cm

Step-by-step explanation:

Here's your solution

=> length of rectangle = 16 cm

=> width of rectangle = 12 cm

=> Diagonal of rectangle = √(l^2 + w^2 )

=> Diagonal = √(16^2 + 12^2)

=> Diagonal = √(256 + 144)

=>. Diagonal = √400

=> Diagonal = 20 cm

hope it helps

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8-2x=-4x+4 answer help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

rodikova [14]

Answer:

Step-by-step explanation

subtract 8 from both sides

8-2x-8=-4x+4-8

simplify

-2x=-4x-4

add 4x to both sides

-2x+4x=-4x-4+4x

Simplify

2x=-4

divide both sides by 2

2x/2=4/2

simplify

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7 0

3 years ago

Read 2 more answers

URGENT HELP ME PLEASE

Trava [24]

Answer:

(a) $\log_3(\dfrac{81}{3})=3$

(b) $\log_5(\dfrac{625}{25})=2$

(d) $\log_4(\dfrac{64}{16})=1$

(e) $\log_6(36^4)=8$

(f) $\log(100^3)=6$

Step-by-step explanation:

Let as consider the given equations are $\log_3(\dfrac{81}{3})=?,\log_5(\dfrac{625}{25})=?,\log_2(\dfrac{64}{8})=?,\log_4(\dfrac{64}{16})=?,\log_6(36^4)=?,\log(100^3)=?$ .

(a)

$\log_3(\dfrac{81}{3})=\log_3(27)$

$\log_3(\dfrac{81}{3})=\log_3(3^3)$

$\log_3(\dfrac{81}{3})=3$ $[\because \log_aa^x=x]$

(b)

$\log_5(\dfrac{625}{25})=\log_5(25)$

$\log_5(\dfrac{625}{25})=\log_5(5^2)$

$\log_5(\dfrac{625}{25})=2$ $[\because \log_aa^x=x]$

(c)

$\log_2(\dfrac{64}{8})=\log_2(8)$

$\log_2(\dfrac{64}{8})=\log_2(2^3)$

$\log_2(\dfrac{64}{8})=3$ $[\because \log_aa^x=x]$

(d)

$\log_4(\dfrac{64}{16})=\log_4(4)$

$\log_4(\dfrac{64}{16})=1$ $[\because \log_aa^x=x]$

(e)

$\log_6(36^4)=\log_6((6^2)^4)$

$\log_6(36^4)=\log_6(6^8)$

$\log_6(36^4)=8$ $[\because \log_aa^x=x]$

(f)

$\log(100^3)=\log((10^2)^3)$

$\log(100^3)=\log(10^6)$

$\log(100^3)=6$ $[\because \log10^x=x]$

5 0

3 years ago

A rectangle has a height of a² + 3 and a width of a² + 2a + 5.

valentina_108 [34]

Answer:

Area = $a^4+2a^3+8a^2+6a+15$

Step-by-step explanation:

The area of a rectangle is given by:

Area = Height * Width

The expressions for height and width are given. We just need to multiply and add like terms (if applicable) to find the expression for the area of the rectangle.

Remember to use distributive property:

$(a+b)(x+y) = ax + ay + bx + by$

Thus, we have:

$(a^2+3)(a^2+2a+5)\\=(a^2)(a^2)+(a^2)(2a)+(a^2)(5)+3a^2+6a+15\\=a^4+2a^3+5a^2+3a^2+6a+15\\=a^4+2a^3+8a^2+6a+15$

THis is the expression for area.

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2 years ago

Jamal and Sean plan to make T-shirts to sell at a fair. Jamal plans to make 6 T-shirts

Butoxors [25]

Answer:

Jamal will have made 12 more T-shirts than Sean on the 6th day.

Step-by-step explanation:

1 day for Jamal - 6 T-shirts. 1 day for Sean - 4 T-shirts. 2 day for Jamal - 12 T-shirts. 2 day for Sean - 8 T-shirts. 3 day for Jamal - 18 T-shirts. 3 day for Sean - 12 T-shirts. 4 day for Jamal - 24 T-shirts. 4 day for Sean - 16 T-shirts. 5 day for Jamal - 30 T-shirts. 5 day for Sean - 20 T-shirts. 6 day for Jamal - 36 T-shirts. 6 day for Sean - 24 T-shirts. Number between 24 and 36 = 12.

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How do I solve −5/6e−2/3e = −24

Luba_88 [7]

E=16 pls brainliest me have a good day/night

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