All categories

2 years ago

What is the slope of the line passing through the point A and B, as shown on the graph below

Mathematics

1 answer:

IRISSAK [1]2 years ago

8 0

Answer:

We do not see the image

Step-by-step explanation:

You might be interested in

please help :{ brainliest if you can get it right and I need you to prove why your answer is correct, thanksss

beks73 [17]

Answer:

The Value of $a=\frac{15}{4}$ .

Step-by-step explanation:

We have Named the figure please find the attachment for your reference.

Given:

PR = y

QR = a

RS = b

PS = z

PQ = x

QS = 15

∠P = 90°

∠R = 90°

∠Q = 60°

∠S = 30°

We need to find the Value of 'a'.

Solution:

Now we know that:

In Δ PQS

∠P = 90°

∠S = 30°

Now we know that;

$sin\ \theta = \frac{opposite\ side}{Hypotenuse}$

$sin \ S= \frac{PQ}{QS}$

Substituting the given values we get;

$sin\ 30\°=\frac{x}{15}$

Now we know that;

$sin\ 30\° = \frac12$

So we can say that;

$\frac{1}{2}=\frac{x}{15}\\\\x=\frac{15}{2}$

Now In Triangle PQR.

∠R = 90°

∠Q = 60°

So we can say that;

$Cos \theta = \frac{adjacent \ Side}{Hypotenuse}\\$

$Cos\ Q = \frac{QR}{PQ}$

Substituting the given values we get;

$cos 60\°= \frac{a}{x}$

Now we know that;

$cos 60\°= \frac12$

$x=\frac{15}{2}$

So substituting the values we get;

$\frac{1}{2}=\frac{a}{\frac{15}{2}}$

By Using Cross Multiplication we get;

$a= \frac{1}{2}\times\frac{15}{2}\\\\a=\frac{15}{4}$

Hence The Value of $a=\frac{15}{4}$ .

6 0

3 years ago

Which is a perfect square? 6^1 6^2 6^3 6^5 Need the answer asap

oksian1 [2.3K]

Answer:

The answer is 6²

Step-by-step explanation:

Since 6² = 36

√36 = 6 making 6² a perfect square.

Hope this helps you

4 0

3 years ago

Read 2 more answers

What is one effect of World Bank loans to developing countries?

matrenka [14]

One example is they help them develop projects

7 0

2 years ago

Find the endpoint:

scZoUnD [109]

Answer:

The coordinates of Point D are: (-5,-8)

Step-by-step explanation:

The formula for mid-point is given by:

$M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})$

For the point (x1,y1) and (x2,y2)

Given that

M = (-3, -6)

C = (-1, -4) => (x1,y1)

Putting the values of given points in the formula for mid-point

$(-3,-6) = (\frac{-1+x_2}{2} , \frac{-4+y_2}{2})$

Putting respective coordinates equal

$-3 = \frac{-1+x_2}{2}\\-6 =-1+x_2\\x_2=-6+1\\x_2 = -5\\AND\\-6 = \frac{-4+y_2}{2}\\-12 = -4+y_2\\y_2 = -12+4\\y_2 = -8$

Hence,

The coordinates of Point D are: (-5,-8)

3 0

2 years ago

Georgia lifts free weights. The bar weighs 25 pounds. She puts two 25-pound weights and two 10-pound weights on the bar. How muc

Digiron [165]

Answer:

there would be 95 pounds all together

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers