All categories

3 years ago

Find the value of x. Show all your work

Mathematics

1 answer:

Burka [1]3 years ago

8 0

Answer:

Step-by-step explanation:

Let the left side of the triangle be 2Y for the bigger triangle and then the smaller one will be Y.

Comparing the two triangle

2Y/Y = 30/X

2 = 30/X

Cross multiple

2X = 30

Dividing by 2

X = 30/2

X = 15

You might be interested in

Is 3, 1, 1/3, 1/9,... a geometric sequence?

barxatty [35]

$a_1;\ a_2;\ a_3;\ a_3;\ ...;\ a_n;\ a_{n+1};...\ is\ a\ geometric\ sequence\\if\ a_{n+1}:a_n=const.\\-------------------\\a_1=3;\ a_2=1;\ a_3=\dfrac{1}{3};\ a_4=\dfrac{1}{9}\\\\a_4:a_3=\dfrac{1}{9}:\dfrac{1}{3}=\dfrac{1}{9}\cdot\dfrac{3}{1}=\dfrac{1}{3}\\\\a_3:a_2=\dfrac{1}{3}:1=\dfrac{1}{3}\\\\a_2:a_1=1:3=\dfrac{1}{3}\\\\Answer:Yes.\ It's\ the\ geometric\ sequence.$

7 0

3 years ago

What is the slope of the line passing through the points (5,7) and (−1,19)?

N76 [4]

The slope is -2..........

6 0

3 years ago

Read 2 more answers

Write and solve an equation to find the measure of the unknown angle.please I am tired help

andreev551 [17]

Answer:

I believe the equation your looking for is 45+x=180!

Step-by-step explanation:

The total degrees your are going to get is 180°. You already know one angle which is 45°. So you would do 180-45 to solve the equation and find the unknown angle! Hope that helped

3 0

3 years ago

Read 2 more answers

a golfer hits a ball with an initial velocity of 120ft/sec so that its path as it leaves makes a 23 ° angle with the horizontal.

Lesechka [4]

Answer:

the time taken for the ball to hit the ground is 9.4s

5 0

2 years ago

(1 point) Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference betw

slavikrds [6]

Answer:

a. $\frac{dT}{dt}=k(T-Tm); T(0)=190$

b. $C_{0}=122$

c. $k=-0.00259$

d. $t=153.39838\\$ minutos

Step-by-step explanation:

a. Newton's law of cooling states that the speed with which a body is cooled is proportional to the difference between its temperature and that of the medium in which it is found. Then, the initial value problem is given by:

$Tm=68$

$\frac{dT}{dt}=k(T-Tm); T(0)=190$

b. The differential equation obtained is a differential equation of separable variables:

$\frac{dT}{T-Tm}=kdt\\\\\int {\frac{dT}{T-Tm}}=\int{kdt}\\\\Ln|T-Tm|=kt+C\\\\T(t)=C_{0}e^{kt}+Tm=C_{0}e^{kt}+68\\\\T(0)=C_{0}e^{k(0)}+68=190\\\\C_{0}=122$

c. After 33 minutes of serving the coffee has cooled to 180°:

$T(33)=122e^{33k}+68=180\\\\e^{33k}=\frac{112}{122}\\\\33k=Ln(\frac{112}{122})\\\\k=-0.00259$

$150=122e^{-0.00259t}+68\\\\Ln(\frac{150-68}{122})=-0.00259t\\\\t=153.39838\\\\$

8 0

3 years ago