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tino4ka555 [31]
3 years ago
9

On a sunny day, a building and its shadow form the sides of a right triangle. If the hypotenuse is 34 m long and the shadow is 2

4 m, how tall is the building
Mathematics
2 answers:
worty [1.4K]3 years ago
6 0

Answer:

67 ft

Step-by-step explanation:

NeX [460]3 years ago
3 0

Answer:

Step-by-step explanation:

h=√[34²-24²]=√[(34-24)(34+24)]=√[10×58]=√(5×29)=√145 ≈12 m

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A new electric car uses 7.3% of its battery to drive 6.4 miles, at that rate how many miles can you drive using 100% of the batt
Natali [406]

Answer:

83.2 miles

Step-by-step explanation:

what i had to do was multiply 7.3 by 13 and that was 94.9 that was as close as i could get it to 100 so i then multipled 6.4 by 13 and got 83,2 miles

5 0
2 years ago
Evaluate the expression when a=-6 and c= 2 .<br> a-4c
Harman [31]

Answer:

-14

Step-by-step explanation:

a-4c=(-6)-4(2)=-6-8=-14. Hope this helps!

5 0
3 years ago
Read 2 more answers
Consider the half of the sphere of radius 2 centered at the origin which lies above the xy-plane (a hemisphere). Suppose the den
Harlamova29_29 [7]

Answer:

25.133 units

Step-by-step explanation:

Since the density ρ = r, our mass is

m =  ∫∫∫r³sinθdΦdrdθ. We integrate from θ = 0 to π (since it is a hemisphere), Φ = 0 to 2π and r = 0 to 2  and  the maximum values of r = 2 in those directions. So

m =∫∫[∫r³sinθdΦ]drdθ      

m = ∫[∫2πr³sinθdθ]dr     ∫dФ = 2π

m = ∫2πr³∫sinθdθ]dr

m = 2π∫r³dr    ∫sinθdθ = 1

m = 2π × 4     ∫r³dr = 4

m = 8π units

m = 25.133 units

5 0
3 years ago
Find the eighth term of the
Pie

Answer:

see explanation

Step-by-step explanation:

The n th term of a geometric sequence is

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r the common ratio, hence

a_{8} = 6 × (-1/3)^{7} = 6 × - \frac{1}{3^{7} } = 6 × - \frac{1}{2187} = - \frac{2}{729}

7 0
3 years ago
Quadrilateral KLMN has vertices of K(-4,-1), L(-1,-1) M(-2,-5) and N(-4,-4) Find the length of MN
Olenka [21]

Answer:

The length of MN is \sqrt{5} units.

Step-by-step explanation:

The given Quadrilateral KLMN has vertices at K(-4,-1), L(-1,-1) M(-2,-5) and N(-4,-4).

We use the distance formula to find the length of MN.

|MN|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We plug in the values to get

|MN|=\sqrt{(-4--2)^2+(-4--5)^2}

|MN|=\sqrt{(-2)^2+(1)^2}

|MN|=\sqrt{4+1}

|MN|=\sqrt{5}

The length of MN is \sqrt{5} units.

3 0
4 years ago
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