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3 years ago

Keenan bought a phone priced at $500. The total price, including sales tax, 1 point

Mathematics

1 answer:

Svet_ta [14]3 years ago

5 0

Answer:

Sales tax was 18%

Step-by-step explanation:

590-500= 90

90÷500=0.18

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Nostrana [21]

680.745 that's easy

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3 years ago

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Find the volume of a pyramid with a square base, where the perimeter of the base is 8.2\text{ cm}8.2 cm and the height of the py

7nadin3 [17]

Answer:

$V=18.2cm^3$

Step-by-step explanation:

The volume of the pyramid is given by:

$V=\frac{A_{b}h}{3}$

where $A_{b}$ is the area of the base and $h$ is the height.

We know that the height is:

$h=13cm$

Thus we need to find the area of the square at the base.

The perimeter of the square is:

$p=8.2cm$

this means that the length of the sides of the square is :

$l=\frac{p}{4}\\ \\l=\frac{8.2cm}{4}\\ \\l=2.05cm$

Now we can find the area of the base which the area of the square:

$A_{b}=l^2\\A_b=(2.05cm)^2\\A_b=4.2025cm^2$

and finally we find the volume:

$V=\frac{A_{b}h}{3}$

$V=\frac{(4.2025cm^2)(13cm)}{3}\\ \\V=\frac{54.6325cm^3}{3}\\ \\V=18.2108cm^3$

Which rounded to the nearest tenth of a cubic centimeter is: $V=18.2cm^3$

3 0

3 years ago

Which function has the greatest rate of exponential growth?

Veronika [31]

Answer:

Step-by-step explanation:

Here, we want to find which of the expressions have the greatest rate of exponential growth.

The easiest way to go about this is have a substitution for the term t;

Let’s say t = 6

Thus;

h(t) = 1.18^1 = 1.18

K(t) = 0.375^6 = 0.002780914307

f(t) = 1.36^6 = 6.327518887936

g(t) = 0.86^6 = 0.404567235136

Another way to find this is to express each as a sum of 1

f(t) = (1+ 0.36)^t

g(t) = (1-0.14)^t

k(t) = (1-0.625)^t

We can see clearly that out of all the terms in the brackets asides 1, 0.36 is the biggest in value

4 0

3 years ago

Considere um triângulo retângulo, cujos ângulos agudos a e b satisfazem à condição cos a = 0,8 e cos b = 0,6 Determine a área de

Anni [7]

Answer:

7.5 cm^2

Step-by-step explanation:

Aqui, temos Cos A = 0,8 = 8/10 = 4/5.

Cos B = 0,6 = 6/10 = 3/5.

O que isto significa é que os dois outros lados do triângulo retângulo são 3 cm e 5 cm, respectivamente.

Isso ocorre porque, o oposto do ângulo agudo A é adjacente ao ângulo agudo B e vice-versa.

Portanto, a partir dos valores de ambos, podemos obter os dois outros lados.

Matematicamente, a área da direita é 1/2 * b * h b e h são 3 e 5, respectivamente.

Assim, área = 1/2 * 3 * 5 = 7,5 cm ^ 2

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3 years ago

Jaxon is traveling from Portland, Oregon to Denver, CO. If he were traveling by car, he would drive 1000 miles east and 575 mile

nordsb [41]

Answer:

1153.5 miles (first answer choice)

Step-by-step explanation:

'1000 miles east' is the change in x ('the run'), and '575 miles south' is the change in x (the 'rise'). Since these two vectors form a right angle, we can immediately apply the Pythagorean Theorem without worrying about signs:

d = √(1000² + 575²) = 1153.5 miles (first answer choice)

7 0

3 years ago