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4 years ago

Find the value of x on this triangle

Mathematics

1 answer:

blondinia [14]4 years ago

6 0

Look at the picture.

ΔABD and ΔBCD are similar, therefore:

$\dfrac{y}{5}=\dfrac{11}{y}\ \ \ |\cross\ multiply\\\\y^2=55\to y=\sqrt{55}$

Use Pythagorean theorem:

$x^2=5^2+(\sqrt{55})^2\\\\x^2=25+55\\\\x^2=80\to x=\sqrt{80}\\\\x=\sqrt{16\cdot5}\\\\x=\sqrt{16}\cdot\sqrt5\\\\\boxed{x=4\sqrt5}$

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What is the the y-intercept and x-intercept of the line. 4x - 4y= 36

algol13

Answer:

x-intercept: (9,0)

y-intercept: (0,-9)

Step-by-step explanation:

The x-intercept and y-intercept is the point at which a line intersects the x-axis and y-axis, respectively. All points on the x-axis have a y-value of 0, while all points on the y-axis have an x-value of 0. Thus, to find the x and y intercepts, substitute 0 for one of the variables in the equation, then solve for the other.

1) To find the x-intercept, substitute 0 for y. Then, isolate x.

$4x-4(0)=36\\4x-0=36\\4x = 36\\x = 9$

So, the x-intercept must be (9,0).

2) To find the y-intercept, substitute 0 for x. Then, isolate y.

$4(0)-4y = 36\\0-4y = 36\\-4y = 36\\y = -9$

So, the y-intercept must be (0,-9).

4 0

3 years ago

Sin B = A. 5/13 B. 12/13 C. 5/12 D. 13/12

Alex777 [14]

Answer:

12/13 I believe Im not to good with it

6 0

3 years ago

What percent of 20 is 15

Vesnalui [34]

To solve for this, we need to set up fractional proportions.
We have x% out of 100%, x being what we're looking for and 100 being the total maximum percent.
We have 15 out of 20, being one of our fractions.
Our fractions are:
x/100 = 15/20.
To solve for this, we need to cross multiply the denominator of one fraction by the numerator of the other fraction.
Multiply x and 20, and then 100 and 15.
You should end up with:
20x = 1500.
Divide both sides by 20 to solve for x.
20x/20 = x.
1500/20 = 75.
x = 75.
Your final and absolute answer is :
15 is 75% of 20.
I hope this helps!

4 0

4 years ago

A book sold 31,100 copies in its first month of release. Suppose this represents 7.8% of the number of copies sold to date. How

zvonat [6]

For this problem you can create a proportion.
Since 31,100 copies is 7.8% of the total copies spoke up to date you can make this proportion:
31,100. 7.8%
——— =. ———
x. 100%
Now you cross multiply and you will get
7.8x=3,110,000
After this you solve for x by isolating the variable.
7.8x/7.8. 3,110,000/7.8
x=398,717.949
Since the question asks you to round to the nearest whole number which is 7 then the final answer would be 398,718
Answer: There has been 398,718 copies sold to date.

5 0

4 years ago

A total of 4 buses carrying 148 students from the same school arrive at a football stadium. The buses carry, respectively, 40, 3

Mandarinka [93]

Answer:

76.2838

Step-by-step explanation:

E[X+Y] = E[X] + E[Y]

E[X] is the average of X or expectancy of X

E[Y] is the average or expectancy f Y

E[X] = 40P(student is in bus 1)+33P(student is in bus 2)+25P(student is in bus 3)+50P(student is in bus 4)=

40(40/148) + 33(33/148) + 25(25/148) + 50(50/148) = 39.2838

E[Y] = (number of students)/(number of drivers) = 148/4 = 37

So E[X+Y] = 39.2838 + 37 = 76.2838

6 0

4 years ago