All categories

2 years ago

The perimeter of the isoceles triangle is 54. The ratio of the leg to the base is 7:4. Find the length of the base

Mathematics

1 answer:

Norma-Jean [14]2 years ago

4 0

9514 1404 393

Answer:

12 units

Step-by-step explanation:

The ratio of the base to the other sides is ...

4 : 7 : 7

The perimeter is a total of 4 +7 +7 = 18 ratio units, so each ratio units stands for 54/18 = 3 length units.

The base length is then ...

(4 ratio units)(3 length units/ratio unit) = 12 length units

You might be interested in

The point (3,0) lies on the graph of P(x)=x^3-7x^2+15x-9. True or False

swat32

Answer:

True

Step-by-step explanation:

We can plug in and see.

If (3,0) is on the graph of P, then P(3) will evaluate to 0.

Let's try it:

P(3)=(3)^3-7(3)^2+15(3)-9

P(3)=27-7(9)+45-9

P(3)=27-63+45-9

P(3)=-36+45-9

P(3)=9-9

P(3)=0

Since P(3)=0, then (3,0) is an ordered pair of P.

8 0

2 years ago

A quarterback throws a football to a teammate. The football is 6.5ft above the ground when it leaves the quarterback's hand. His

Elena-2011 [213]

Answer:

v=5.42m/s

Step-by-Step Explanation:

We can use conservation of energy to solve this

mgh=1/2mv^2

2gh=v^2

v=sqrt(2gh)

v=sqrt[2*9.8m/s^2*(6.5-5)]

v=5.42m/s

7 0

3 years ago

Read 2 more answers

Mean for 16, 12, 13, 22

pishuonlain [190]

Answer:

mean = sum of the terms/total no. of terms

mean = (16+12+13+22)/4

mean = 63/4 or 15.75

6 0

2 years ago

Read 2 more answers

A random sample of 100 automobile owners in thestate of Virginia shows that an automobile is driven onaverage 23,500 kilometers

Anastaziya [24]

Answer:

a) 22497.7 < μ< 24502.3

b) With 99% confidence the possible error will not exceed 1002.3

Step-by-step explanation:

Given that:

Mean (μ) = 23500 kilometers per year

Standard deviation (σ) = 3900 kilometers

Confidence level (c) = 99% = 0.99

number of samples (n) = 100

a) α = 1 - c = 1 - 0.99 = 0.01

$\frac{\alpha }{2} =\frac{0.01}{2}=0.005\\ z_{\frac{\alpha }{2}}=z_{0.005}=2.57$

Using normal distribution table, $z_{0.005$ is the z value of 1 - 0.005 = 0.995 of the area to the right which is 2.57.

The margin of error (e) is given as:

$e= z_{0.005}\frac{\sigma}{\sqrt{n} } = 2.57*\frac{3900}{\sqrt{100} } =1002.3$

The 99% confidence interval = (μ - e, μ + e) = (23500 - 1002.3, 23500 + 1002.3) = (22497.7, 24502.3)

Confidence interval = 22497.7 < μ< 24502.3

b) With 99% confidence the possible error will not exceed 1002.3

5 0

3 years ago

If L=√(x^2+y^2), dx/dt =-4, dy/dt=3, find dL/dt when x=4 and y=3

yulyashka [42]

Hello,

$L=\sqrt{x^2+y^2} \\\\\dfrac{dx}{dt}=-4\\\\\dfrac{dy}{dt}=3\\\\x=4, y=3\\\\\dfrac{\partial L} {\partial x} =\dfrac{x}{\sqrt{x^2+y^2}} \\\\\dfrac{\partial L} {\partial y} =\dfrac{y}{\sqrt{x^2+y^2}} \\\\\dfrac{dL}{dt} =\dfrac{\partial L} {\partial x}*\dfrac{dx}{dt}+\dfrac{\partial L} {\partial y}*\dfrac{dy}{dt}\\\\=-4*\frac{-4}{\sqrt{4^2+3^2}} +3*\frac{3}{\sqrt{4^2+3^2}}\\\\=\dfrac{16}{5} +\dfrac{9}{5} \\\\=5\\$

5 0

3 years ago