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Alborosie
3 years ago
5

Can anyone help me with these questions!!!

Mathematics
1 answer:
kotegsom [21]3 years ago
6 0

The Pythagorean Theorem is a^2 +b^2 = c^2, where a and b are the sides and c is the hypotenuse ( angled line)


5.

4^2 + 12^2 = c^2

16 + 144 = c^2

160 = c^2

c = √160

c = 4√10


6.

15^2 + b^2 = 27^2

225 + b^2 = 729

b^2 = 729 - 225

b^2 = 504

b = √504

b = 6√14


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The quadrilateral ABCD has area of 58 in2 and diagonal AC = 14.5 in. Find the length of diagonal BD if AC ⊥ BD.
inessss [21]
When the diagonals of a quadrilateral are perpendicular, the area of that quadrilateral is half the product of their lengths.
.. A = (1/2)*d₁*d₂
Substituting the given information, this becomes
.. 58 in² = (1/2)*(14.5 in)*d₂
.. 2*58/14.5 in = d₂ = 8 in

The length of diagonal BD is 8 in.
7 0
3 years ago
What is the value of 2 over 3 to the power of 0 to the power of -3
Schach [20]

Answer:

((\frac{2}{3})^0)^{-3}=1

Step-by-step explanation:

We need to find the value of ((\frac{2}{3})^0)^{-3}

Solving:

We know, (a^b)^n = a^{b*n}

((\frac{2}{3})^{0*-3})

(\frac{2}{3})^0

a^0 = 1

so,

(\frac{2}{3})^0=1

So, the value of ((\frac{2}{3})^0)^{-3}=1

5 0
3 years ago
Keesha will mow grass for $8 per hour write in standard form
DaniilM [7]

Answer: y = 8x

Step-by-step explanation:

6 0
3 years ago
Each morning a gardener uses 25 gallons of water from a barrel. Each afternoon, she adds 15 gallons of water to the barrel. By h
mr_godi [17]

Given :

Each morning a gardener uses 25 gallons of water from a barrel.

Each afternoon, she adds 15 gallons of water to the barrel.

To Find :

By how much has the volume of water in the barrel changed after 5 days.

Solution :

Amount of of water used from the barrel per day is :

A = 25 - 15 gallons

A = 10 gallons

Now, volume of water in the barrel changed after 5 days is :

V = A × 5 gallons

V = 10 × 5 gallons

V = 50 gallons

Therefore, volume of water in barrel is changed by 50 gallons.

3 0
2 years ago
Can someone help me calculate the area of this object?
nekit [7.7K]
Answer: 272.9 cm^2

How to:

25 * 8 = 200

9 * 8.1 = 72.9

Add the areas of the two rectangles

200 + 72.9 = 272.9 cm^2
7 0
2 years ago
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