All categories

3 years ago

Help me with number 10 pleaseeeeeeeeee

Mathematics

1 answer:

valina [46]3 years ago

6 0

Answer:

4' - 9.64

Step-by-step explanation:

Total rise = 2' - 7"

Total run = 3' - 9"

Converting to inches :

1' = 12" ; 1 feet = 12 inches

2' = 2 * 12 = 24"

3' = 3 * 12 = 36"

Total rise = 24" + 7" = 31"

Total run = 36" + 9" = 45"

Length of stringer = hypotenus

Hypotenus = √(total rise² + total run²)

Hypotenus = √(31² + 45²)

Hypotenus = 54.644304"

= 4' - 9.64"

You might be interested in

What is 9+12-4x15+3 divided by 2

STALIN [3.7K]

Answer:

The correct answer is -18

7 0

2 years ago

llyssa and Mark conducted an experiment with two identical spinners that each contain 4 colors. They spun both spinners and reco

pychu [463]

Answer:

Step-by-step explanation:

Answer is a 2/25

7 0

3 years ago

Please i need an answer urgently. Sum of 3 terms are 252, first term is 192. Find common ratio

Viefleur [7K]

Answer:

$r=\frac{1}{4}\\\\r=-\frac{5}{4}$

Step-by-step explanation:

<u>Geometric Sequences</u>

The geometric sequence is given as:

$a_1, a_1r, a_1r^2, a_1r^3,..., a_1r^{n-1}$

Where n is the number of the term, n≥1, and r is the common ratio.

The sum of n terms of the geometric sequence is given by:

$\displaystyle S_n=a_1\frac{r^n-1}{r-1}$

We are given: S3=252, a1=192, thus substuting:

$\displaystyle 252=192\frac{r^3-1}{r-1}$

Dividing by 12:

$\displaystyle 21=16\frac{r^3-1}{r-1}$

Recall that:

$r^3-1=(r-1)(r^2+r+1)$

Substituting:

$\displaystyle 21=16\frac{(r-1)(r^2+r+1)}{r-1}$

Simplifying:

$21=16(r^2+r+1)=16r^2+16r+16$

Rearranging:

$16r^2+16r+16-21=0$

16r^2+16r-5=0

Rewriting:

$16r^2-4r+20r-5=0$

Factoring:

$4r(4r-1)+5(4r-1)=0$

$(4r-1)(4r+5)=0$

Solving:

$r=\frac{1}{4}\\\\r=-\frac{5}{4}$

Both solutions are valid

6 0

3 years ago

Hallie bikes 1 5/8 km before lunch 6 1/4 km How much farther does hallies bike after lunch than before lunch? Express your answe

kondaur [170]

Distance biked before lunch = 1 $\frac{5}{8}$ km (the number is written in mixed fraction)

⇒ Distance biked before lunch = $\frac{13}{8}$

Distance biked after lunch = 6 $\frac{1}{4}$ km (the number is written in mixed fraction)

⇒ Distance biked after lunch = $\frac{25}{4}$

We need to determine how much farther does Hallie bike after lunch than before lunch

Extra distance biked after lunch vs. before lunch = $\frac{25}{4}$ - $\frac{13}{8}$

⇒ Extra distance biked after lunch vs. before lunch = $\frac{50-13}{8}$

⇒ Extra distance biked after lunch vs. before lunch = $\frac{37}{8}$

⇒ Extra distance biked after lunch vs. before lunch = 4 $\frac{5}{8}$ (in mixed fraction)

Hence, Hallie biked 4 $\frac{5}{8}$ km extra after lunch vs. before lunch.

3 0

3 years ago

The straight line 3x -2y = 5 will pass through which of the following points

densk [106]

Try using desmos. Also I believe it will go through A only.

5 0

3 years ago