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3 years ago

6

The usual toll charge over a bridge is $1.50. If you purchase a special sticker for $10.50, the charge is $0.80. At least how ma

ny trips through the tunnel are needed before the sticker would cost less than the toll charge?

1 answer:

Sidana [21]3 years ago

6 0

I believe a minimum of 7 trips over the bridge is required.

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Square root of 3.24 =

kvv77 [185]

Question says to find the square root of 3.24.

To find square root of decimal numbers, we can start by converting them into fraction so that decimal gets removed then find square root of numerator and denominator separately.

there are two digits after decimal in 3.24 so we can rewrite 3.24 as 324/100

Now let's find square root of the resulting fraction

$\sqrt{3.24}=\sqrt{\frac{324}{100}}= \frac{\sqrt{324}}{\sqrt{100}} = \frac{18}{10} = 1.8$

Hence final answer is 1.8.

3 0

3 years ago

Help no links please u^u

Veseljchak [2.6K]

Answer:

∠A= 80°

Step-by-step explanation:

if they are supplementary then put them equal to 180

7x + 3 +7x + 23 = 180

14x + 26 = 180

14x = 154

x= 11

now plug in

7(11)+3

77+3= 80

3 0

3 years ago

11B. Long Beach Towing Company charges $40 plus $5 per mile to

gavmur [86]

Answer:

The charges will be the same after 10 miles.

Step-by-step explanation:

Long Beach Towing Company:

Charges $40 plus $5 per mile. So after x miles, the charge will be of:

$L(x) = 40 + 5x$

Five-Star Towing Company:

Chargers of $70 plus $2 per mile. So after x miles, the charge will be of:

$F(x) = 70 + 2x$

After how many miles the charges for the two companied will be the same?

This is x for which:

$L(x) = F(x)$

So

$40 + 5x = 70 + 2x$

$5x - 2x = 70 - 40$

$3x = 30$

$x = \frac{30}{3}$

$x = 10$

The charges will be the same after 10 miles.

5 0

3 years ago

Use the counting principle to determine the number of elements in the sample space. The possible ways to complete a multiple-cho

nadezda [96]

Answer:

The correct answer is 4294967296 possible ways to complete such a test.

Step-by-step explanation:

Step 1

The first step is to define the fundamental principle of counting. The fundamental principle of counting states that if a process can be carried out in n steps, where there are $n_1$ ways to complete the first step, $n_2$ ways to complete the second step, $n_3$ , and $n_k$ ways to complete the $k^{th}$ step, this process can be carried out in $n_1\times n_2\times n_3\times ...\times n_k$ ways.

Step 2

We use the fundamental principle of counting with $n=4$ for a total of $k=16$ steps. This test can be carried out in $4^{16}=4294967296$ ways. This comes from multiplying 4 by itself 16 times.

3 0

4 years ago

Solve ABC <br>c=10, B=35°, C=65%

NISA [10]

Answer:

Part 1) The measure of angle A is $A=80\°$

Part 2) The length side of a is equal to $a=10.9\ units$

Part 3) The length side of b is equal to $b=6.3\ units$

Step-by-step explanation:

step 1

Find the measure of angle A

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

$A+B+C=180\°$

substitute the given values

$A+35\°+65\°=180\°$

$A+100\°=180\°$

$A=180\°-100\°=80\°$

step 2

Find the length of side a

Applying the law of sines

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{a}{sin(80\°)}=\frac{10}{sin(65\°)}$

$a=\frac{10}{sin(65\°)}(sin(80\°))$

$a=10.9\ units$

step 3

Find the length of side b

Applying the law of sines

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{b}{sin(35\°)}=\frac{10}{sin(65\°)}$

$b=\frac{10}{sin(65\°)}(sin(35\°))$

$b=6.3\ units$

5 0

3 years ago