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3 years ago

Can I please get help with this I give thanks

Mathematics

2 answers:

gladu [14]3 years ago

6 0

First one :
We divide it into two rectangles (the top one has dimensions 2in*4in)

The area of the top rectangle is 2*4=8 in^2

The second rectangle has dimensions 3*(5-3)=6 in^2
Hence the total area is 8+6=14 square inches

Second one :
We divide it into a rectangle (dimensions 11*17) and a triangle on the top.

The area of the rectangle is 11*17=187 m^2
The rectangle has dimensions 17 (base's length) and 23-11 (height) hence its area is 17*(23-11)/2=102 m^2

Hence the total area is 102+187=289 square meters

777dan777 [17]3 years ago

5 0

For the first shape split the 'L' into two rectangles; one with a length of 5 inches and a height of 3 inches, we'll call is shape J, the other with a height of 4 inches and a length of 2 inches, this one can be called shape K. (I've basically drawn an imaginary line across the middle). It's a lot easier to work out area this way, simple height multiplied by length. J = 5 x 3 = 15 inches. K = 4 x 2 = 8 inches. Add the two together and you get the area of the whole shape: 23 square inches. *It's important to remember units.* I don't know for sure how to do the second shape (sorry) but I was asked to help out with this question, so I did. I suggest you split the shape again, but this time into a triangle and a rectangle which is far easier to calculate and area for.

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What is the slope of the graph shown?

astra-53 [7]

Slope is going down so it’s gonna be y=6x+2

6 0

3 years ago

Solve using completing the square x^2 – 8x + 16 = 25

lisov135 [29]

First we need to factor the left side. Since it is a perfect square (as is the process with completing the square, we know we can take half of the middle number along with x to be in the two parenthesis.

(x - 4)(x - 4) = 25

Now we simplify to show it as a square.

(x - 4)^2 = 25

Next we take the square root of both sides

x - 4 = +/- 5

Note that we have plus or minus 5. This is because either square would give us positive 25. Now we add 4 to both sides

x = 4 +/- 5

4 + 5 = 9

4 - 5 = -1

5 0

3 years ago

How would you solve 3x^2-12=0?

Gennadij [26K]

   3x^2 - 12 = 0

Personally, I would divide each side by 3 x^2 - 4 = 0

Then I would add 4 to each side x^2     = 4

Then I would take the square root of each side: x = +4
   x = -4 .

Having found both solutions, I would relax with a cup of tea.

3 0

3 years ago

Find the value of tanθ, if cosθ = 4/5 ; 0° ≤ θ< 90°

Montano1993 [528]

Answer:

Step-by-step explanation:

<u>Given </u>

cosθ = 4/5
0° ≤ θ < 90°

<u>In the first quadrant both sine and cosine are positive, so as tangent.</u>

tanθ = sinθ / cosθ =
$\sqrt{1 - cos^2}$ θ / cosθ =
$\sqrt{1 - (4/5)^2}$ / 4/5 =
$\sqrt{9/25}$ / 4/5 =
3/5*5/4 =
3/4

4 0

3 years ago

HELP!

konstantin123 [22]

Answer:

1. 10 square yards

2. $9.10

3. 36 girls

4. 20 cherries

5. 159 bracelets

Step-by-step explanation:

The area of this figure would be the area of the SQUARE minus the area of the RECTANGLE (taken out).

The middle part is taken out (this is a rectangle).

View this as a square with sides 4 by 4 with a rectangle portion taken out. So the area can be said as:

Area = Area of Whole Square - Area of Middle Rectangle Taken Out

Lets calculate:

Area of Whole Square:

side * side = 4 * 4 = 16

Now,

Area of Middle Rectangle Taken Out:

Length * Width

The length is given as 3

The width would be 4 - two 1 from two sides, that is 4 - 1 - 1 = 2

So, area = 3 * 2 = 6

Area of figure = 16 - 6 = 10 square yards

We have to find 20% of the bill.

The bill was 45.50 and we have to find 20% of 45.50.

We first convert percentage to decimal by dividing by 100:

20% = 20/100 = 0.20

Now we multiply this decimal with the bill to get our desired answer:

0.20 * 45.50 = $9.10

The tip is $9.10

The ratio of boys (b) to girls (g) would be 2 is to 3.

There are 24 boys.

We can set up a ratio (fraction) with boys on top and girls on bottom.

Then we equate it with actual number of boys and girls (let it be g). So the ratio set-up would be:

$\frac{2}{3}=\frac{24}{g}$

To solve for g, the number of girls, we have to cross multiply and use algebra to solve. The process is shown below:

$\frac{2}{3}=\frac{24}{g}\\2*g = 24*3\\2g=72\\g=\frac{72}{2}\\g=36$

There are 36 girls in sixth grade

For every "9" lemon, there are "4" cherries.

There are 45 lemons

If we think of "9" lemons as a "box", how many boxes of lemons are there?

45/9 = 5

Similarly, there would be "5" boxes of cherries. But there are "4" cherries per box. So there are:

4 * 5 = 20 cherries

We can also set up a ratio of cherry to lemon as 4 is to 9 and equate it with actual cherries (let it be "c") and lemons (45). Cross multiply and use algebra to solve for cherries ("c"). Algebra process shown below:

$\frac{Cherries}{Lemons}=\frac{4}{9}=\frac{c}{45}\\9*c=4*45\\9c=180\\c=\frac{180}{9}\\c=20$

See, we have the same answer, 20 cherries!

Number sold total = 14 + 27 + 45 = 86

She still has 73 in her stock

So, she basically started with whatever she now has (73) and whatever she has sold the 3 days (86), that would be:

73 + 86 = 159 bracelets

Tia started with 159 bracelets

4 0

3 years ago