(4) Check my work please?

Mathematics

1 answer:

lawyer [7]3 years ago

7 0

You have the correct x and y values. Nice work.

x/3 = 3/4
x*4 = 3*3
4x = 9
x = 9/4

AC = AD+DC
AC = 4+x
AC = 4+9/4
AC = 16/4 + 9/4
AC = 25/4

AB^2 + BC^2 = AC^2
5^2 + y^2 = (25/4)^2
25 + y^2 = 625/16
y^2 = 625/16 - 25
y^2 = 625/16 - 400/16
y^2 = 225/16
y = sqrt(225/16)
y = 15/4

You might be interested in

Evaluate tan45/sin30 . In your final answer, include all calculations.

Maslowich

From the identity $\displaystyle{ \tan x= \frac{\sin x}{\cos x}$ , and from the values:

$\sin45^{\circ}=\cos45^{\circ}= \frac{ \sqrt{2}}{2}$ ,

we have: $\displaystyle{ \tan 45^{\circ}= \frac{\sin 45^{\circ}}{\cos 45^{\circ}}= \frac{ \frac{ \sqrt{2}}{2}}{\frac{ \sqrt{2}}{2}} =1$ .

We also know that $\sin30^{\circ}= \frac{1}{2}$ .

Thus, $\displaystyle{ \frac{\tan 45^{\circ}}{\sin30^{\circ}} = \frac{1}{\frac{1}{2}}=2.$

Answer: 2

8 0

3 years ago

Recatangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-2,1), B(3,1),C(3,4), and

Cloud [144]

Answer: 15

Step-by-step explanation:

When you plot the points, it makes a rectangle. The length is 5 units and the height is 3 units. 5 times 3 is 15

7 0

3 years ago

Read 2 more answers

Match each point label on the box it to its description.

Ahat [919]

A is the minimum value
B is the first quartile
The point with the line through it (next to C) is the median.
The point to the outside of the box is the third quartile.
D is the maximum value.

Hope this helped.

4 0

3 years ago

4. A statistician working for the National Basketball Association supplies the television announcers with interesting statistics

Sonbull [250]

Answer: 0.038

Step-by-step explanation:

Given: Total games : n= 375

Number of games won by the team that was winning the game at the end of the third quarter. = 300

The proportion (p) of the team that was winning the game at the end of the third quarter: $p=\dfrac{300}{375}=0.8$

Critical z-value for 90% confidence: z* = 1.645

Margin of error = $z^*\sqrt{\dfrac{(1-p)p}{n}}$

The margin of error in a 90% confidence interval estimate of p $=1.645\sqrt{\dfrac{0.2\times0.8}{300}}\\= 1.645\times\sqrt{0.00053333}\\\\=1.645\times0.0231\\\\=0.0379995\approx$$0.038$