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3 years ago

Carla buys a dress for $20.00 she pays 7 percent sales tax .. How much does she pay for the dress with tax?

Mathematics

1 answer:

BaLLatris [955]3 years ago

4 0

Answer:

Carla pays $21.4 for the dress with tax.

Step-by-step explanation:

Here we are given that :

Price of dress = $20

Sales tax = 7%

Price of dress with tax = $20 + 7% of 20

Price of dress with tax = 20+1.4 = 21.4

Price of dress with tax = $21.4

Carla pays $21.4 for the dress with tax.

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Savatey [412]

Answer:

The triangle is 1, since 10 - 1 is 9.

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Step-by-step explanation:

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3 years ago

The base of a rectangle measures 8 feet and the altitude measures 5 feet. Find to the nearest degree, the measure of the angle t

Pani-rosa [81]

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4 years ago

A triangle has three sides 35cm 54 cm and 61 cm find its area Also find the smallest of its altitude

I am Lyosha [343]

Answer:

Area of given triangle is 939.15cm² and smallest altitude is 30.8cm

<h3>Solution:</h3>

We are given three sides of a triangle, Let the sides be :

( a ) = 35 cm

( b ) = 54 cm

( c ) = 61 cm

We can find the area of the triangle with its three sides using Heron's Formula

<u>Heron's </u><u>Formula</u>

Heron's formula was founded by hero of Alexandria, for finding the area of triangle in terms of the length of its sides. Heron's formula can be written as:

$\sf{ \pmb { \longrightarrow \: \sqrt{s(s - a)(s - b)(s - c)} }}$

where ( s ) :

$\sf \longrightarrow s = \dfrac{a + b + c}{2}$

Therefore, for the given triangle first we will calculate ( s )

$\begin {aligned}\quad & \quad \longmapsto \sf s = \dfrac{a + b + c}{2} \\ & \quad \longmapsto \sf s = \dfrac{35 + 54 + 61}{2} \\ & \quad \longmapsto \sf s = \dfrac{150}{2} \\ & \quad \longmapsto \sf s = 75cm \end{aligned}$

Now, Area of triangle will be:

$\begin{aligned}&:\implies \sf\quad \sf \: A = \sqrt{s(s - a)(s - b)(s - c)} \\ &:\implies \sf\quad \sf \: A = \sqrt{75(75 - 35)(75 - 54)(75 - 61)} \\&:\implies \sf\quad \sf \: A = \sqrt{75 \times 40 \times 21 \times 14} \\ &:\implies \sf\quad \sf \: A = \sqrt{5 \times 5 \times 3 \times 3 \times 2 \times 2 \times 7 \times 7 \times 2 \times 2 \times 5} \\ &:\implies \sf\quad \sf \: A =5 \times 3 \times 2 \times 7 \times 2 \sqrt{5} \\ &:\implies \sf\quad \sf \: A =420 \times 2.23 \\ &:\implies \sf\quad \sf \boxed{ \pmb{ \sf A =939.15 {cm}^{2} }} \end{aligned}$

Also, we have to find the smallest altitude, and the smallest altitude will be on the longest side. So,

$\begin{aligned}&:\implies \sf\quad \sf \: Area =939.15 \\ &:\implies \sf\quad \sf \: \dfrac{1}{2} \times b \times h =939.15 \\ &:\implies \sf\quad \sf \: \dfrac{1}{2} \times 61 \times h = 939.15 \\&:\implies \sf\quad \sf \: h =939.15 \times \dfrac{2}{61} \\&:\implies \sf\quad \sf \: h = \dfrac{1818.3}{61} \\ &:\implies \sf\quad \boxed{ \pmb{\sf \: h =30.79 \: (approx)}} \end{aligned}$

3 0

2 years ago

Read 2 more answers

The sum of two numbers is 30. The difference of the two numbers is 6. Write a system of equations to represent the situation and

8_murik_8 [283]

Answer:

Step-by-step explanation:

let us say one number is x and the other one is (x+6)

x+(x+6)=30

-6

x+x=24

2x=24

divide by two

x=12

(x(12)+6)=18

4 0

2 years ago

Read 2 more answers

In 1983, a winter hat cost $12.95. Today, a winter hat costs $24.50. If the CPI is 219, what is the percent relation of the actu

AnnZ [28]

Answer:

The actual price is 13.6 % lower than the expected price....

Step-by-step explanation:

Lets suppose the expected price = x

CPI = ( expected price ) : ( price in 1983 ) *100

219 = ( x : 12.95 ) *100

Divide both sides by 100.

x : 12.95 = 2.19

x =2.19*12.95

= $28.36 ( expected price )

p = ( 24.50*100 ) / 28.36

p= 2450/28.36

= 86.4 %

100 % - 86.4 % = 13.6 %

The actual price is 13.6 % lower than the expected price....

4 0

3 years ago