A bag contains:

PLEASE HELP!! for 20 points What is the area of the composite figure?

belka [17]

Answer:

46

Step-by-step explanation:

Break the shape into smaller shapes, then solve:

Large Rectangle -> 4x8=32

Tiny Rectangle at the bottom ->2x3=6

Triangle at top can be broken into two right triangles ->

(4x2)(1/2)=4

Add: 32+6+4+4=46

4 0

1 year ago

Find the number which when divided by 4 and increased by 12 is the same as when it is divided by 3 and decreased by 5

MatroZZZ [7]

Step-by-step explanation:

Let's make the number we're finding to be $a$ . So, it says that it will be divided by 4 and then added by 12 if we want this in algebraic expression it will be $\frac{a}{4} +12\\$ . It's also telling us that that expression is the same thing as our number divided by 3 and subtracted by 5. If we want an expression out of it it well be $\frac{a}{3} -5\\$ . Since they are the same, we have the equation below.

$\frac{a}{4} +12 = \frac{a}{3} -5\\$

All we have to do now is to find $a$ .

$\frac{a}{4} +12 = \frac{a}{3} -5 \\ \frac{a +48}{4} = \frac{a -15}{3} \\ (3)(a +48) = (a - 15)(4) \\ 3a +144 = 4a -60 \\ (60 -3a) + 3a +144 = 4a -60 +(60 -3a) \\ a = 204$

<h3>Answer:</h3>

Our number must be $204$ . I think

5 0

3 years ago

ladder is 8 ft long . The ladder needs to reach to a window that is 6 ft above the ground . How far away from the house should t

stiks02 [169]

Answer:

5.3 or 28

Step-by-step explanation:

$6^{2}$ + $b^{2}$ = $8^{2}$

36+ $b^{2}$ =64

64-36=28

$\sqrt{28\\}$

=5.29 or 5.3

5 0

2 years ago

A line is tangent to the circle x^2+y^2=41, at the point (-4,-5)

VashaNatasha [74]

If the equation of the circle is x^2+ y^2 = 41, we must first understand the parts of the equation.
A general circle's equation is (x-h)^2+(y-k)^2= r^2
(h.k) is the radius of the circle
r is the radius of the circle
Another useful fact to know is that tangent lines touch the circle at one point (4,5)

Since in our original equation there are no h or k values, we can assume that the center of the circle is (0,0).

The formula for slope is Y1-Y2
X1-X2
We can break this down with our two points (center and tangent)
(0,0) and (-4,-5)
(X1,Y1) and (X2,Y2)

therefore, we will put the equation as such
0-(-5)= 5 = 5
0-(-4)= 4  4

this is our slope from the center to the point of tangency.

We know that tangent lines are perpendicular to the radius, which we've already found the slope of. Perpendicular lines are opposite reciprocals of the line they are perpendicular to.

Therefore, we take our slope from center to the tangent, and make it opposite and then take the reciprocal of that slope, which will give us the slope of the tangent line itself. (note: reciprocal means flip the numerator and denominator)
5 = -5 = -4
4 4 5

Now, we have a point on the line, and the line's slope. We can use slope-intercept equation to find the equation of the line.

Slope-int y=mx+b
(x,y) is a point,
m is the slope
b is the y intercept ( the point where x=0, or where its on the y axis)

now we plug things in
(-4,-5) is our point,
-4 is our slope
5

-5=-4(-4)+b After we plug things in, solve for b
5

-5= 3.2+b

-1.8= b or b= 1 4
5

Now we just need to rewrite our equation with all our components.
(-4.-5) = point
-4 = slope
5
1 4 = y-intercept
 5

y=-4 x+ 1 4 This is the equation of the tangent line
 5 5

Hope that helped

7 0

3 years ago

Please help urgent!!! i have attached a picture of the question

rusak2 [61]

The length of EH would be 4.8

5 0

3 years ago

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