How many 2-digit positive integers are there such that the product of the product of their two digits is 24?

What percent is 608 million of 845 million? Round to the nearest 100th place and Enter your answer with the percent symbol.

bezimeni [28]

Answer: 72%

Step-by-step explanation: Well, we want to know what percent 608 is of 845, so to solve that, let's call 845 100%, as we're solving it terms of 845. 845 is 100%, then it follows that 8.45 is 1%.

Now we can see how many 8.45's go into 608, which comes out to 71.95266...%, which can be rounded nicely to 72%

8 0

3 years ago

Es 18 de junio de 1815, las tropas napoleónicas se encuentran justo adelante, tu eres el ingeniero en balística y el general Wel

Airida [17]

Answer:

89.1° or -1.4°

Step-by-step explanation:

1. Location:

You are on the Mont-Saint-Jean escarpment, near the Belgian town of Waterloo.

The French troops are about 50 m below you and 1.2 km distant.

2. Finding the firing angle

Data:

R = 1200 m

u = 600 m/s

h = -50 m (the height of the target)

a = 9.8 m/s²

We have two conditions.

Horizontal distance

(1) 1200 = 600t cosθ

Vertical distance

(2) -50 = 600t sinθ - 4.9t²

Divide each side of (1) by 600cosθ.

$(3) \, t =\dfrac{2}{\cos \theta}$

Substitute (3) into (2)

$-50 = 600t \sin \theta - 4.9t^{2} = 600 \left( \dfrac{2}{\cos \theta} \right ) \sin \theta - 4.9 \left( \dfrac{2}{\cos \theta} \right )^{2}\\\\(4) \, -50 = 1200 \tan \theta - \dfrac{19.6}{\cos^{2} \theta}$

Recall that

(5) sec²θ = 1/cos²θ = tan²θ + 1

Substitute (5) into (4)

$-50 = 1200 \tan \theta - 19.6 \left(\tan^{2} \theta}+ 1\right )$

Set up a quadratic equation

$\begin{array}{rcl}-50 & = & 1200 \tan \theta - 19.6\tan^{2} \theta -19.6 \\0 & = & 1200 \tan \theta - 19.6\tan^{2} \theta + 30.4\\0 & =&19.6\tan^{2} \theta - 1200 \tan \theta - 30.4\\0 & =&\tan^{2} \theta - 61.224 \tan \theta - 1.551\\\end{array}$

Solve for θ

Use the quadratic formula.

tanθ = 61.249 or -0.025

θ = arctan(61.249) = 89.1° or

θ = arctan(-0.025) = -1.4°

3 0

3 years ago

The sum of negative eighteen and a number is eleven. What is the number?

Oksanka [162]

Answer:

29

Step-by-step explanation:

-18 (Negative Eighteen) = A

29 (Positive Twenty Nine) = B

11 (Positive Eleven) = C

First, make A positive, and add C to it. You get B.

Now here is the equation:

-18 + (18 + 11)

-18 + (29)

11

5 0

3 years ago

A hockey bag contains 5 red jerseys, 6 blue jerseys and 7 white jerseys.

ipn [44]

Answer:

7/54

Step-by-step explanation:

A hockey bag contains 5 red jerseys, 6 blue jerseys and 7 white jerseys.

Let the total number of jerseys =

5 red jerseys + 6 blue jerseys 7 white jerseys.

= 18

P(White) = 7/18

P(Blue) = 6/18

Hence, the probability that Jack picks a white then a blue jersey if he puts the first one back.

This is probability with replacement, hence:

7/18 × 6/18

= 7/18 × 1/3

= 7/54

3 0

3 years ago

if a turtle can move 1/7 of a mile every hour, then how many hours would it take for a turtle to go 5 miles?

Lyrx [107]

Answer:

35 hours

Step-by-step explanation:

1 mile would be 7 hours- 7x5=35

6 0

2 years ago