You are traveling at 58 miles per hour in a 70 km per hour speed zone. How fast are you traveling in km per hour?

Answers

Answer 1

Answer:
58 miles = 93.3 km.

58 miles per hour = 93.3 km per hour.

I'll need to see your license and registration.

Answer 2

Answer: you are traveling at 93.342 kph

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Complete the ordered pair so that it is a solution of 2/3 x + y - 1 = 0.(-6, ___)345
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When Legs jumps 2 times and takes 13 steps forward, he lands in the same place as when he jumps 4 times and takes 5 steps backward.• One jump equals how many steps?

Answers

Answer:

9 steps

Step-by-step explanation:

Let $x$ be the number of jumps

and $y$ be the number of steps

So the first case

$2x+13y$

Second case

$4x-5y$

Both cover equal distances so

$2x+13y=4x-5y$

$\Rightarrow 2x-4x=-5y-13y$

$\Rightarrow 2x=18y$

$\Rightarrow x=9y$

So, one jumps is 9 steps.

What two numbers multiply together equal -40 add together to equal positive 6

Answers

-4 and 10 add to 6 and have a product of -40.

Hope this helps :)

Mr. Smith went to buy a refrigerator. He had $346. The refrigerator cost $783.Part A
About how much more money does Mr. Smith need in order to buy the refrigerator?
Round your answer to the nearest hundred dollars.
Part B
After visiting the bank ,Mr.Smith paid $800 for the refrigerator.How much change did he receive Mr.Smith receive in change ?

Answers

Answer:

Part A- $400

Part B- $17

Step-by-step explanation:

Answer:

A- 400.00 more dollars.

B- 17 dollars in change.

Step-by-step explanation:

783-346 and then round up.

800-783 for change

Find all sets of four consecutive integers whose sum is between 95 and 105

Answers

Hello,

Let n-2,n-1,n,n+1 the foru numbers
s=n-2+n-1+n+n+1=4n-2

95<=4n-2<=105
==>97<=7n<=107
==>24.25<=n<=26.75
==>25<=n<=26
if n=25 s=98
if n=26 s=102

Evaluate tan(sin^-1 (-4/5))

Answers

Here, we are required to evaluate tan(sin^-1 (-4/5)).

tan(sin^-1 (-4/5)) = (-4/3)

Sin^-1 (-4/5) = θ

Therefore; ultimately Sin θ = (-4/5)

Since; Sine = opposite / hypothenus

Therefore, adj = √(5²) - (4²)

adj = 3.

However, since tan(sin^-1 (-4/5)) = tan θ

Therefore, tan θ = 4/3

However, since sin θ and tan θ are only negative in the fourth quarter;

Therefore, tan θ = (-4/3)

Read more:

brainly.com/question/21546908

$\theta=\sin ^(-1)\left(-(4)/(5) \right )$ is in the fourth quadrant. Hence,

$\tan \theta<0$

From a right triangle (check out the attachment) we get

$\bullet\;\;\cos \theta=(3)/(5)\n\n\n \bullet\;\;\tan \theta=-(4)/(3)\n\n\n\n \therefore~~\boxed{\begin{array}{c} \tan\left(\sin^(-1) \left(-(4)/(5) \right )\right)=-(4)/(3) \end{array}}$

Kenneth wants to sew a tent, including the bottom so that it is entirely enclosed. He has a rectangular piece of canvas with dimensions of 12 feet by 20 feet. The front and back of the tent will be identical triangles, measuring 6 feet across at ground level, with two 5-foot sides meeting at the top. The depth of the tent will be equal to three times the height of the front of the tent. What is the depth of the tent?

Answers

Based on the calculations, the depth of tent is equal to 12 feet.

How to calculate the depth of the tent?

Based on the diagram (see attachment) and information provided, we can logically deduce the following parameters (points):

Triangle ABC is an isosceles triangle (AB = AC).

The front and back of the triangle are identical triangles.

Side AD is perpendicular side BC.

CD is the midpoint of BC i.e CD = BC/2 = 6/2 = 3 feet.

Next, we would determine the height of the right-angled triangle (ADC) by applying Pythagorean theorem:

AC² = AD² + DC²

AD² = AC² - DC²

AD² = 5² - 3²

AD² = 25 - 9

AD² = 16

AD = √16

AD = 4 feet.

Also, we would determine the area of the triangle (ABC):

Area = 1/2 × b × h

Where:

b is the base area.

h is the height.

Substituting the given parameters into the formula, we have;

Area = 1/2 × 6 × 4

Area = 12 feet².

Depth of tent = 3 × height of ADC

Depth of tent = 3 × 4

Depth of tent = 12 feet.

Read more on area of triangle here: brainly.com/question/21917592

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A pole 3 m high has a shadow 5 m long when the shadow of a nearby building is 110 m long. How tall is the building? Which of the following proportions could be used to solve the problem? 3/110 = x/5 3/x = 110/5 x/3 = 110/5

The graph shows the cost of one pound of apples at the grocery store. find the slope of the line.