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2 years ago

If the tree grew 4 feet in each year how many feet would it have if 50 years gone by

Mathematics

1 answer:

vagabundo [1.1K]2 years ago

4 0

Pretty sure 200feet but its kinda easy

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What is the value of tan (B) in the diagram?

hodyreva [135]

Answer:

The correct answer is third option

1/√3

Step-by-step explanation:

From the figure we can see a right angled triangle ABC.

Right angled at C.

AB = 10

AC = 5

BC = 5√3

<u>Points to remember</u>

Tan θ = Opposite side/Adjacent side

<u>To find the value of tan(B)</u>

Tan B = Opposite side/Adjacent side

= AC/BC

= 5/5√3

= 1/√3

Therefore the value of tan(B) = 1/√3

7 0

3 years ago

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The perimeter of a rectangle is 42 inches, and its area is 110 square inches. find the length and width of the rectangle.

lorasvet [3.4K]

$p = 2w + 2l$ $p = 42$
$a = l * w$ $a = 108$

You want to make either the length or width variable (I chose the width variable to be by itself. It doesn't matter) by itself by:

Divide both sides by 2.
(p) ÷ 2 = (2w + 2l) ÷ 2
$2's$ $cancel$ $out$
$\frac{p}{2} = w + l$

Subtract both sides by either length or width depending on what variable you chose to make by itself (in this case I subtracted the length variable because I wanted the width variable by itself).
$\frac{p}{2} - l = w + l - l$
$l's$ $cancel$ $out$
p/2 - l = w

$a = l * w$

You replace w with the equation above p/2 - l = w
$a = l( \frac{p}{2} - l)$

Multiply out the L.
$a = \frac{p}{2}l - l^{2}$

Plug in all your numbers a = 110 and p = 42
$110 = \frac{42}{2}l - l^{2}$
$110 = 21l - l^{2$

Move everything to the left side so $l^{2}$ would be positive (makes the equation easier when $l^{2}$ is positive).
$l^{2} - 21l + 110 = 0$

Factor.
$(l -10)(l-11) = 0$

Make each parenthesis set equal to 0.
$l-11=0$ $l-10=0$

Add.
$l = 11$ $l = 10$

By doing this you solve for both the width and length so the answer is:
w = 11 L = 10

8 0

3 years ago

Solve for x

Mademuasel [1]

Answer:

x = 9

Step-by-step explanation:

Using the rule of exponents

$a^{m}$ × $a^{n}$ ⇔ $a^{(m+n)}$

Given

$11^{x}$ = $11^{4}$ × $11^{5}$ = $11^{(4+5)}$ = $11^{9}$

Since the bases on both sides are common, then equate the exponents

x = 9

4 0

2 years ago

Given: 3x < -9. Choose the solution set. {x | x < 3} {x | x > -1/3} {x | x < -3} {x | x > -3}

Mars2501 [29]

Divid both sides by 3
x<-3

{x | x<-3}

3rd choice

6 0

2 years ago

-2x-9y=-25 -4x-9y=-23 system with elimination

REY [17]

Multiply the first equation by -2. It turns into 4x+18y=50 and the other one stays -4x-9y=-23. Then you "eliminate" the equations by "adding" them. Set it up like this:
4x+18y=50
+
-4x-9y=-23
4x-4x= 0. 18y-9y= 9y and 50-23= 27
SO: 9y= 27 and y= 3
And then you plug that in to one equation: 4x +18(3)= 50. 4x= 50-(18*3)
4x= -4, so x=-1.
Plug it back in to check!
Hope this helps. Happy solving! :)

4 0

2 years ago

Read 2 more answers