Answer: 0.01429
Step-by-step explanation:
1.429 x
Now is just 1/100 or 0.01, because 10^2 is 100
Now we can multiply 1.429 by 0.01 which is 1.429 x 0.01
Or the easy way, we can just place the decimal two places to the left because the power is -2, so 2 places to the left. Moving the decimal to the left makes the number smaller.
So, take 1.492 and move its decimal 2 places to the left
We get 0.01429
Answer:
Hector's kite is 61.84 feet from the ground.
Step-by-step explanation:
The angle of elevation of the kite is 42°15’30” when converted to decimals, it is ≅
Let the height of the kite to the horizontal of angle of elevation be represented as x. Applying the trigonometric function to the sketch of Hector's kite,
Sin θ =
Sin =
⇒ x = 86 x Sin
= 86 x 0.6725
= 57.835
x ≅ 57.84 feet
The height of Hector's kite from the ground = x + 4
= 57.84 + 4
= 61.84 feet
Answer:
9 bottles of soda and 7 bottles of juice
Step-by-step explanation:
Let x be the number of bottles of soda purchased and y be the number of bottles of juice purchased.
1. Gabriel purchased 2 more bottles of soda than bottles of juice, then
2. Each bottle of soda has 35 grams of sugar, then there are 35x g of sugar in x bottles of soda.
Each bottle of juice has 10 grams of sugar, then there are 10y g of sugar in y bottles of juice.
In total, there are 35x+10y g of sugar.
All bottles collectively contain 385 grams of sugar, thus
3. Solve the system of two equations:
Substitute the first equation into the second equation:
The correct representation of the scale is 1 inch:2 feet
<h3>What are scale ratios?</h3>Scale ratios are used to show the relationship between quantities of different measurements
The scale is given as:
1 inch = 2 feet
Represent the above scale, as ratio
Hence, the correct representation of the scale is 1 inch:2 feet
Read more about scales at: