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3 years ago

Julie built a tower of blocks that stood 22.5 cm tall. Each block is 1.5 cm tall.

2 answers:

5 0

B. There are 15 blocks in this tower. I divided the total height (22.5 cm), by the height of each block (1.5 cm) and got 15 blocks

Pavel [41]3 years ago

4 0

We must divide the total height by the size of the blocks to work out how many are in the tower
22.5 / 1.5 = 15 blocks

You might be interested in

Estimate show how you estimated 512 divided by 52

Bond [772]

52 = 50

512= 500

500/50 = 10

4 0

3 years ago

5. Landon bought a new car for $16,000 and it depreciates 4.5% every year. Write a function that describes

snow_tiger [21]

Answer:

<h3>The value C(t) of the car after 5 years is $12709.</h3>

Step-by-step explanation:

Given that Landon bought a new car for $16,000 and it depreciates 4.5% every year.

<h3>To find the value C(t) of the car after 5 years:</h3>

Initial value $C(0)= $16,000$

Depreciation rate is $r=\frac{4.5}{100}$

Period , t=5 years

$C(t)=C(0)(1-r)^t$

Substitute the values we get

$C(5)=16000(1-0.045)^5$

$=16000(0.955)^5$

$=16000(0.7943)$

∴ $C(5)=12708.8$

<h3>The value C(t) of the car after 5 years is $ 12709</h3>

3 0

3 years ago

A golfer hits an errant tee shot that lands in the rough. A marker in the center of the fairway is 150 yards from the center of

Gwar [14]

$\bold{\huge{\underline{ Solution}}}$

<h3>Given :-</h3>

A marker in the center of the fairway is 150 yards away from the centre of the green
While standing on the marker and facing the green, the golfer turns 100° towards his ball
Then he peces off 30 yards to his ball

We have to find the distance between the golf ball and the center of the green .

<h3>Let's Begin :-</h3>

Let assume that the distance between the golf ball and central of green is x

Here, 

Distance between marker and centre of green is 150 yards
That is, Height = 150 yards
For facing the green , The golfer turns 100° towards his ball
That is, Angle = 100°
The golfer peces off 30 yards to his ball
That is, Base = 30 yards

According to the law of cosine :-

$\bold{\red{ a^{2} = b^{2} + c^{2} - 2ABcos}}{\bold{\red{\theta}}}$

Here, a = perpendicular height
b = base
c = hypotenuse
cos theta = Angle of cosine

So, For Hypotenuse law of cosine will be :-

$\sf{ c^{2} = a^{2} + b^{2} - 2ABcos}{\sf{\theta}}$

Subsitute the required values,

$\sf{ x^{2} = (150)^{2} + (30)^{2} - 2(150)(30)cos}{\sf{100°}}$

$\sf{ x^{2} = 22500 + 900 - 900cos}{\sf{\times{\dfrac{5π}{9}}}}$

$\sf{ x^{2} = 22500 + 900 - 900( - 0.174)}$

$\sf{ x^{2} = 22500 + 900 + 156.6}$

$\sf{ x^{2} = 23556.6}$

$\bold{ x = 153.48\: yards }$

Hence, The distance between the ball and the center of green is 153.48 or 153.5 yards

5 0

2 years ago

Find the circumference and area of a circle with a diameter of 22 inches.

Katyanochek1 [597]

Answer:

$Circumference=22\pi\;inches \\\\Area =121\pi \;inches^2$

Step-by-step explanation:

Diameter of the circle= $22\;inches$

$Radius=\dfrac{22}{2} =11\;inches$

Circumference of a circle:

$=2\times \pi \times r$

$=2\times \pi \times 11\\\\=22\pi \;inches$

Area of the circle:

$=\pi \times r^2$

$=\pi \times 11\times 11\\\\=121\times \pi \\\\=121\pi \;inches^2$

8 0

3 years ago

the population of masterton was 23 000 in 2012. Assume that Masterton population increases at a rate of 2% per year. Write an eq

Oksanka [162]

So, let's first focus on the first year:

the population then would be: 23000* (100+2)%

100% is the old population the 2% is the incease, so in total it's 102%, or 1.02 - the same number written differently.

So it will be 23000*1.02

After two years it will be 23000*1.02*1.02, and so on

so after x years it will be:

y=23000* $1.02^{z}$

8 0

3 years ago