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3 years ago

PLEASE HELP ILL GIVE BRAINLIEST

Mathematics

1 answer:

SpyIntel [72]3 years ago

6 0

Answer:

Step-by-step explanation:

The hypotenuse-angle theorem proves congruency by comparing the respective hypotenuse and an adjacent angle between two triangles. Since the given values here are the hypotenuse (longest side) and an adjacent angle, the HA theorem can be used to prove congruency between the two triangles.

Hope this helped!

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The total surface area of a hemisphere is 300cm2. What is the surface area of the sphere having equal radius to the hemisphere.

raketka [301]

Answer:

400cm²

Step-by-step explanation:

the surface area of the sphere =

4/3 x The total surface area of a hemisphere

=> 4/3 x 300 = 400cm²

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2 years ago

Find the value of a and b if root3-1/root3+1+ root3+1/root3-1=a+root3 b

Digiron [165]

Answer:

a=4 and b = 0

Step-by-step explanation:

Given : $\dfrac{\sqrt 3 -1}{\sqrt 3+1}+\dfrac{\sqrt 3+1}{\sqrt 3-1}=a+\sqrt 3 b$

To find, The value of a and b

Solution,

Solving LHS of the given equation,

$\dfrac{(\sqrt 3-1)^2+(\sqrt3+1)^2}{(\sqrt 3+1)(\sqrt 3-1)}=a+\sqrt 3 b$

Since,

$(a-b)^2=a^2+b^2-2ab\\\\(a+b)^2=a^2+b^2+2ab\\\\(a-b)(a+b)=a^2+b^2$

So,

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On comparing we get :

a = 4 and b = 0

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3 years ago

What is (-33x-78)+(5x8x9x10)divided by9.75

kherson [118]

Answer:

6,174

Step-by-step explanation:

(-33 * - 78) + (5 * 8 * 9 * 10)

Remove the brackets:

-33 * - 78 + 5 * 8 * 9 * 10

Solve like so:

-33 * - 78 = 2,574

5 * 8 * 9 * 10 = 3,600

(2,574) + (3,600)

2,574 + 3,600 = 6,174

PLEASE DO MARK ME AS BRAINLIEST UWU

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3 years ago

The perimeter of a rectangle is 800 yards. What are the dimensions of the rectangle if the length is 60 yards more than the widt

mote1985 [20]

The length would be 230, and the width would be 170, and since there are 4 sides there would be 2 of each. So 230x2=460 and 170x2=340. 460+340= 800

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4 years ago

A school bought pens, each costing $1, and pencils, each costing $0.5. The cost of the whole purchase was $220. How many pens an

Aleks [24]

Answer:

The number of pens = 120 and the number of pencils = 200

Step-by-step explanation:

Let the number of pens x, and the number of pencils is y

the cost of one pen $1, and the cost of one pencil $0.5

The cost of the whole purchase was $220

1 * x + 0.5 * y = 220

x + 0.5 y = 220 ⇒ eq.(1)

there were 80 more pencils than pens

y - x = 80 ⇒ eq.(2)

from eq.(2) x = y - 80

By substitution with x from the last equation at eq.(1)

∴ (y - 80) + 0.5 y = 220

1.5y = 220 + 80 = 300

y = 300/1.5 = 200

x = y - 80 = 200 - 80 = 120

So, the number of pens = 120 and the number of pencils = 200

7 0

3 years ago