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malfutka [58]
3 years ago
12

Do 5/7 and 30/42 form a proportion

Mathematics
1 answer:
GREYUIT [131]3 years ago
4 0
5/7
6*5/6*7
30/42

30/42 = 30/42

Yes, 5/7 and 30/42 form a proportion.
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Identify the similar triangles them find the x
Alex Ar [27]

Answer:

ADB and ABC are similar

x = 8

Step-by-step explanation:

hypotenuse in ADB = \sqrt{4^2 + 2^2 } = \sqrt{20}

since two triangles are similar,

\frac{2+x}{\sqrt{20} } = \frac{\sqrt{20}}{2}

solving for x, x=8

4 0
3 years ago
Radius = 16 in ; height = 27 in
nataly862011 [7]
Assuming that this problem is asking about a cylinder, the volume can be found using the formula (pi)(r)^2 * h (area of the circle * height) and the surface area can be found using the formula (2)(pi)(r)h (circumference of the circle * height).

Volume = (pi)(16)^2 * 27 = 21,714.688 in^3
Surface Area = (2)(pi)(16) * 27 = 2,714.336 in^2
8 0
2 years ago
state whether the following statement is true or false: y= -x2 + 6x - 10 does not intersect the x-axis.​
oee [108]

Answer:

True

Step-by-step explanation:

Here, we want to check if the given equation does not intersect the x-axis

if it does not, then it has no real root

If the discriminant is less than zero, then it has no real roots and does not intersect the x-axis

The formula for the discriminant is;

D = b^2-4ac

In the question;

a = -1 , b = 6 , c = 10

so;

D = 6^2-4(-1)(10)

D = 36-40

D = -4

Since discriminant is less than zero, then there is no real root and the graph does not cross the x-axis

4 0
3 years ago
Point C. is the mid Point of
aivan3 [116]

SOLUTION

Given B is the midpoint of AC ABBC 1 and C is the midpoint of BD BCCD2 ie on adding 1 and 2 ART We get ABBCBCCD hence ABCD hence proved

7 0
1 year ago
From 1995-2005, the hourly pay for lifeguards at an outdoor swimming pool increased by 2% per year. The hourly pay, P(t), in dol
12345 [234]

Answer:

The hourly pay for the lifeguards in 2001 was of $6.31.

Step-by-step explanation:

The hourly pay, in dollars, in t years after 1995, is given by the following equation:

P(t) = 5.60(1.02)^{t}

What was the hourly pay for the lifeguards in 2,001?

2001 is 2001 - 1995 = 6 years after 1995. So this is P(6).

P(t) = 5.60(1.02)^{t}

P(6) = 5.60(1.02)^{6} = 6.31

The hourly pay for the lifeguards in 2001 was of $6.31.

7 0
3 years ago
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