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Zigmanuir [339]

3 years ago

11

Meg is a veterinarian. She found that 10 of the 59 dogs she saw this week were boxers. Steve is also a veterinarian. He found th

at 50% of the 4 dogs he saw this week were boxers . Does each person need to find the part, the whole. or the percent?

1 answer:

Finger [1]3 years ago

6 0

Answer:

Meg:percent Steve:part

Step-by-step explanation:

I got it right

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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

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The total profit (in thousandsof dollars)from the sale of x hundredthousandautomobile tiresis approximatedby

NISA [10]

Answer:

What is the price and costs of automobile tiresis?

Step-by-step explanation:

3 0

3 years ago

151. Find the perimeter of this triangle

Lena [83]

The perimeter is the sum of all the sides of the figure⇒

<em><u>151</u></em>

$P=a+b+c+d...$

$P=(y+9)+(3y+3)+(4y+6)=y+9+3y+3+4y+6=8y+18$

<u><em>152</em></u>

<u><em></em></u> $P=a+b+c+d...\\P=(4a-100)+(2a-15)+(2a+40)=4a-100+2a-15+2a+40=\\=8a-75$ <u><em></em></u>

<u><em></em></u>

<u><em>153</em></u>

You forgot to attach a photo

6 0

3 years ago

Which radical expression in the picture is equivalent to t^5/8?

mixas84 [53]

<h3>Answer: Choice B</h3>

=========================================================

Explanation:

The rule we use is

$\Large a^{m/n} = \sqrt[n]{a^m} = \left(\sqrt[n]{a}\right)^m$

where 'a' is the base, m stays in the role of the exponent, and n plays the role of the root index (eg: n = 3 is a cube root, n = 4 is a fourth root, and so on).

So for instance,

$\Large 2^{3/4} = \sqrt[4]{2^3} = \left(\sqrt[4]{2}\right)^3$

or in this case,

$\Large t^{5/8} = \sqrt[8]{t^5} = \left(\sqrt[8]{t}\right)^5$

5 0

3 years ago

What is the mean, median, mode, and range of the numbers 8,15,3,6,13,9

ivolga24 [154]

Hello There!

To find the mean, add up all the numbers and divide according to how many numbers there are. The mean for this set would be <em>"9"</em>

<em></em>

To find the median, place the numbers in value order and find the middle. if there is no middle, add up the two numbers in middle and divide by 2. In this set, the median would be <em>"8.5"</em>

<em></em>

To find the mode or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode. In this set, there would be no mode.

The range of a set of data is the difference between the highest and lowest values in the set. In this set, the range would be <em>"12"</em>

4 0

4 years ago

Read 2 more answers