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dusya [7]
2 years ago
10

3. In the figure below, E is on AD and C is on BD. The dimensions given are in meters. What is the length, in meters, of CD?

Mathematics
1 answer:
damaskus [11]2 years ago
7 0

Answer:

C. 3,960

Step-by-step explanation:

∆ADB ~ ∆EDC. Therefore,

\frac{AB}{EC} = \frac{DB}{DC}

\frac{2,000}{1,200} = \frac{2,640 + x}{x} (substitution)

Solve for x

\frac{5}{3} = \frac{2,640 + x}{x}

Cross multiply

5*x = 3(2,640 + x)

5x = 7,920 + 3x

5x - 3x = 7,920

2x = 7,920

x = 7,920/2

x = 3,960 meters

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Akimi4 [234]

Given:

Number of males = h

Number of females = (h-2)

Total number of visitors = 80

To find:

The value of h.

Solution:

We have,

Number of males = h

Number of females = (h-2)

So, the total number of visitors is:

Total=h+(h-2)

Total=2h-2

It is given that the total number of visitors is 80. So,

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2h=80+2

2h=82

Divide both sides by 2.

h=\dfrac{82}{2}

h=41

Therefore, the correct option is D.

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3 years ago
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8 0
3 years ago
Read 2 more answers
Find the volume of the solid under the plane 5x + 9y − z = 0 and above the region bounded by y = x and y = x4.
svp [43]
<span>For the plane, we have z = 5x + 9y

For the region, we first find its boundary curves' points of intersection.
x = x^4 ==> x = 0, 1.

Since x > x^4 for y in [0, 1],

The volume of the solid equals

\int\limits^1_0 { \int\limits_{x^4}^x {(5x+9y)} \, dy } \, dx = \int\limits^1_0 {\left[5xy+ \frac{9}{2} y^2\right]_{x^4}^{x}} \, dx  \\  \\ =\int\limits^1_0 {\left[\left(5x(x)+ \frac{9}{2} (x)^2\right)-\left(5x(x^4)+ \frac{9}{2} (x^4)^2\right)\right]} \, dx  \\  \\ =\int\limits^1_0 {\left(5x^2+ \frac{9}{2} x^2-5x^5- \frac{9}{2} x^8\right)} \, dx =\int\limits^1_0 {\left( \frac{19}{2} x^2-5x^5- \frac{9}{2} x^8\right)} \, dx \\  \\ =\left[ \frac{19}{6} x^3- \frac{5}{6} x^6- \frac{1}{2} x^9\right]^1_0

=\frac{19}{6} - \frac{5}{6} - \frac{1}{2} =\bold{ \frac{11}{6} \ cubic \ units}</span>
8 0
3 years ago
I need help answering this ASAP
Leokris [45]
Answer:

x greater than and equal to -7

Step-by-step explanation:

Parabola touches at -7 and is going straight towards all positive integers

Therefore the domain is all numbers greater than or equal to -7
8 0
2 years ago
Rounding whole number which number could round to 80,600 80,532 80,549 80,617 80, ,651
Burka [1]

Answer:

80,617

Step-by-step explanation:

the 1 in the tens place puts the number back down to 600

6 0
3 years ago
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