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2 years ago

6

50 POINTS! By using shadows, Tatiana wants to find the height of a building. At a certain time of day, her shadow is 2.4 feet lo

ng and the building’s shadow is 16 feet long. Her height is 5.8 feet. How tall is the building?

1 answer:

vagabundo [1.1K]2 years ago

6 0

The building is 16 feet tall

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Karla has spent $48 on food. she bought milk cheese and meat. the milk cost half as much as the cheese and the meat cost half as

skelet666 [1.2K]

C = cheese

milk is half of cheese....so milk costs 0.5c
meat is 4 times as much as cheese...so meat costs 4c
and $ 48 was spent

so ur equation would be : c + 0.5c + 4c = 48 <=

3 0

3 years ago

VLD [36.1K]

Answer:

10

Step-by-step explanation:

Let c = sum of ages of all children.

mean age of all children = c/15 = 7

c = 15 * 7 = 105

The sum of the ages of all children is 105.

Let b = sum of ages of the 9 boys.

mean age of boys = b/9 = 5

b = 9 * 5 = 45

The sum of the ages of the boys is 45.

The sum of the ages of the girls is c - b.

c - b = 105 - 45 = 60

The number of girls is 15 - 9 = 6

mean age of girls = (sum of ages of the girls)/(number of girls) =

= 60/6 = 10

3 0

2 years ago

At a pet store, an iguana eats 7 ounces of food for every 2 ounces a

zzz [600]

25 add them up Your welcome

8 0

2 years ago

Calculus 3 chapter 16

o-na [289]

Evaluate $\vec F$ at $\vec r$ :

$\vec F(x,y,z) = x\,\vec\imath + y\,\vec\jmath + xy\,\vec k \\\\ \implies \vec F(\vec r(t)) = \vec F(\cos(t), \sin(t), t) = \cos(t)\,\vec\imath + \sin(t)\,\vec\jmath + \sin(t)\cos(t)\,\vec k$

Compute the line element $d\vec r$ :

$d\vec r = \dfrac{d\vec r}{dt} dt = \left(-\sin(t)\,\vec\imath+\cos(t)\,\vec\jmath+\vec k\bigg) \, dt$

Simplifying the integrand, we have

$\vec F\cdot d\vec r = \bigg(-\cos(t)\sin(t) + \sin(t)\cos(t) + \sin(t)\cos(t)\bigg) \, dt \\ ~~~~~~~~= \sin(t)\cos(t) \, dt \\\\ ~~~~~~~~= \dfrac12 \sin(2t) \, dt$

Then the line integral evaluates to

$\displaystyle \int_C \vec F\cdot d\vec r = \int_0^\pi \frac12\sin(2t)\,dt \\\\ ~~~~~~~~ = -\frac14\cos(2t) \bigg|_{t=0}^{t=\pi} \\\\ ~~~~~~~~ = -\frac14(\cos(2\pi)-\cos(0)) = \boxed{0}$

3 0

1 year ago

Sam started a dog-walking business. He charges $5 for each dog for a thirty-minute walk. How much dor

solong [7]

Answer: $\$10,\ \$5$

Step-by-step explanation:

(a) Given

Sam charge $5 for each dog for a thirty minute walk

For an hour which is double the thirty minutes, it must be double of the same charge.

$\Rightarrow 2\times 5=\$10$

(b)Given

With $20, Christie sells 100 cups of lemonade with a quarter per cup charge

For 100 cup, she generate a revenue of

$\Rightarrow \dfrac{1}{4}\times 100\\\\\Rightarrow \$25$

So, she earns $25-20=\$5$ that is , her profit is $\$5$

7 0

2 years ago