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3 years ago

Find the value of x in the triangle shown below. 1 13 2 12 Choose 1 answers

Mathematics

1 answer:

DedPeter [7]3 years ago

3 0

Answer:

x = 5

Step-by-step explanation:

a² + b² = c²

x² + 12² = 13²

x² + 144 = 169

x² = 169 - 144

x² = 25

$\sqrt{x^2} =\sqrt{25}$

x = 5

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Abigail is 8 years older than Cynthia. Twenty years ago Abigail was three times as old as Cynthia. How old is each now?

irina [24]

A - age of Abigail
C - age of Cynthia

A = C + 8

A - 20 = 3 (C - 20)

A - 20 = 3C - 60

C + 8 - 20 = 3C - 60

C - 12 = 3C - 60 A = C + 8

2C = 48 A = 24 + 8

C = 24 years A = 32 years

5 0

3 years ago

Read 2 more answers

Look at the figure below: an image of a right triangle is shown with an angle labeled y degrees If sin y° = s divided by 8 and t

Elena L [17]

Answer:

Cos y = t / 8

Step-by-step explanation:

Using the hints given in the question, the omitted tribagke will look like the triangle attached on the picture ;

From trigonometry :

Sin y = opposite / hypotenus

Sin y = s / 8

Opposite side = s ; hypotenus = 8

Tan y = opposite / Adjacent

Tan y = s / t

Adjacent side = t

Then ;

Cos y = Adjacent / hypotenus

Hence,

Cos y = t / 8

5 0

3 years ago

If a=under root s(s-a)(s-b)(s-c) then the value of a, when a =3 b =4c = 5 and s =a+b+c by 2

kramer

Answer:

Step-by-step explanation:

Here it's given that ,

$\sf\red{\longrightarrow} A=\sqrt{s(s-a)(s-b)(s-c)}$

Also ,

$\sf\red{\longrightarrow} s =\dfrac{a+b+c}{2}$

And we need to find out the value of A , when

a = 3
b = 4
c = 5

So , on substituting the respective values to find s we have ,

$\sf\red{\longrightarrow} s =\dfrac{3+4+5}{2}=\dfrac{12}{2}=\bf{6}$

Now let's find out A as ,

$\sf\red{\longrightarrow} A = \sqrt{6(6-3)(6-4)(6-5)} \\$

$\sf\red{\longrightarrow}A =\sqrt{6 * 3 * 2 * 1}\\$

$\sf\red{\longrightarrow} A = \sqrt{3^2 * 2^2 *1^2}\\$

$\sf\red{\longrightarrow}A = 3*2\\$

$\sf\red{\longrightarrow}\boxed{\qquad \blue{\bf A = 6 \qquad}}$

7 0

2 years ago

Maria and Nate graphed lines on a coordinate plane. Maria's line is represented by the equation y = -5/6x +8. Nate's line is per

eduard

Answer:

c) 6x - 5y = 15

Step-by-step explanation:

Slope-intercept form of a linear equation: $y=mx+b$

(where m is the slope and b is the y-intercept)

Maria's line: $y=-\dfrac{5}{6}x+8$

Therefore, the slope of Maria's line is $-\frac{5}{6}$

If two lines are perpendicular to each other, the product of their slopes will be -1.

Therefore, the slope of Nate's line (m) is:

$\begin{aligned}\implies m \times -\dfrac{5}{6} &=-1\\m & =\dfrac{6}{5}\end{aligned}$

Therefore, the linear equation of Nate's line is:

$y=\dfrac{6}{5}x+b\quad\textsf{(where b is some constant)}$

Rearranging this to standard form:

$\implies y=\dfrac{6}{5}x+b$

$\implies 5y=6x+5b$

$\implies 6x-5y=-5b$

Therefore, <u>option c</u> could be an equation for Nate's line.

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3 years ago

isac walks 6/10 of a mile in 1/5 of an hour if his rate remains constant what is isac walking rate in miles per hour

Slav-nsk [51]

Answer:amazing

Step-by-step explanation:

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3 years ago