the length of a dollar bill is 6.06 inches. What would be the value of a 100 mile long row of bills be?

A plane flies from Los Angeles west to Paradise Isle and returns. During both flights there is a steady upper air wind from the

Arte-miy333 [17]

Answer: $589.33\ mph$

Step-by-step explanation:

Given

Trip form Los Angeles west to Paradise Isle took 17 hours and return trip took 13 hours.

Wind from west is 80 mph

Distance traveled is same in both the cases. During the first Journey, wind causes an upstream and for second half, it creates a downstream.

Suppose the speed of plane is

$\Rightarrow (v-80)17=(v+80)13\\\Rightarrow 17v-1360=13v+1040\\\Rightarrow 4v=2400\\\Rightarrow v=600\ mph$

Suppose the distance is x

$\Rightarrow x=(600-80)\times 17\\\Rightarrow x=520\times 17\\\Rightarrow x=8840\ \text{miles}$

Average speed is

$\Rightarrow v_{avg}=\dfrac{x+x}{17+13}\\\\\Rightarrow v_{avg}=\dfrac{2\times 8840}{30}\\\\\Rightarrow v_{avg}=589.33\ mph$

7 0

3 years ago

Read 2 more answers

Which equation represents the slope-intercept form of the line below?

Ne4ueva [31]

Answer:

B

Step-by-step explanation:

Let me know if you need a detailed explanation.

Hope this helps!

4 0

3 years ago

Write each as a verbal expression: d-6

lesantik [10]

Answer:

six less than d

take away six from d

Step-by-step explanation:

they both work

5 0

3 years ago

Read 2 more answers

Which statements are true about ΔJKL and ΔLMN? Select all that apply.

svp [43]

Answer:

A. ΔJKL and ΔLMN have only one pair of angles that are congruent

C. ΔJKL has angles that measure $50^o,60^o,70^o$

Step-by-step explanation:

step 1

Find the value of x

we know that

$m\angle KLJ=m\angle MLN$ ----> by vertical angles

substitute the given values

$(6x-2)^o=(5x+10)^o$

solve for x

$6x-5x=10+2\\x=12$

step 2

Find the measure of the interior angles of triangle JKL

we have

$m\angle KLJ=(6(12)-2)=70^o$

$m\angle KJL=(5(12))=60^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

$m\angle JKL=180^o-130^o=50^o$

therefore

Triangle JKL has angles that measure $50^o,60^o,70^o$

step 3

Find the measure of the interior angles of triangle LMN

we have

$m\angle MLN=(5(12)+10)=70^o$

$m\angle LMN=(6(12)-7)=65^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

$m\angle LNM=180^o-135^o=45^o$

Triangle LMN has angles that measure $45^o,65^o,70^o$

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding angles of triangle JKL and LMN are not congruent

therefore

The triangles are not similar

Verify each statement

Part a) ΔJKL and ΔLMN have only one pair of angles that are congruent

The statement is true (see the explanation)

Part b) ΔJKL and ΔLMN have two pairs of angles that are congruent

The statement is false

Because have only one pair of angles that are congruent

Part c) ΔJKL has angles that measure $50^o,60^o,70^o$

The statement is true (see the explanation)

Part d) ΔLMN has angles that measure $50^o,60^o,70^o$

The statement is false

Because, Triangle LMN has angles that measure $45^o,65^o,70^o$

Part e) ΔJKL and ΔLMN are similar

The statement is false

Because, the corresponding angles are not congruent

6 0

4 years ago

The point (-7,4) in on the terminal side of an angle t. Find sec (t) to two decimal places.

Sliva [168]

Answer:

-1.15

Step-by-step explanation:

The tangent of the angle can be found as ...

tan(t) = (y-coordinate)/(x-coordinate) = -4/7

The secant of the angle is related by ...

sec(t)² = tan(t)² +1 = (-4/7)² +1 = 65/49

Then the secant of this 2nd-quadrant angle is ...

sec(t) = -√(65/49) = -(√65)/7 ≈ -1.15

6 0

3 years ago