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RUDIKE [14]
3 years ago
7

Triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches. What is the area of triangle RST? Round t

o the nearest square inch. (using heron's formula)
Mathematics
2 answers:
andrew11 [14]3 years ago
7 0
\bf \textit{Heron's Area Formula}\\\\
A=\sqrt{s(s-a)(s-b)(s-c)}\qquad 
\begin{cases}
a=22\\
b=13\\
c=\stackrel{perimeter}{50}-22-13\\
\qquad 15\\
s=\frac{a+b+c}{2}\\
\qquad 25
\end{cases}
\\\\\\
A=\sqrt{25(25-22)(25-13)(25-15)}\implies A=\sqrt{25(3)(12)(10)}
\\\\\\
A=\sqrt{25(360)}\implies A=\sqrt{9000}\implies A\approx 94.868329805
nevsk [136]3 years ago
4 0

Answer:

95 square inches

Step-by-step explanation:

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blsea [12.9K]

Answer:

3

Step-by-step explanation:

4 0
3 years ago
URGENT!!! Can someone help me with this? It’s volume of cones!!!
LiRa [457]

Answer:

1232 m^3 to nearest whole number.

Step-by-step explanation:

The volume of a cone = 1/3 π r^2 h     where r = radius of base and h = height.

The radius of the base = 1/2 * 14 = 7m.

The height can be found by using the Pythagoras theorem:

25^2 = h^2 + 7^2

h^2 = 625 - 49 = 576

h = √576 =  24m

So the volume = 1/3 π *  7^2 * 24

=  1231.504 m^3.

8 0
3 years ago
Please help me with this math problem!
Mice21 [21]
W=x
L=2x+17

Double everything since we need to lengths and two widths to find the perimeter

2x+17+2x+17+x+x = 76
Combine like terms

6x+34=76
Solve for x
First step is subtract 34 from both sides

6x=42
Next you divide both sides by 6 in order to get x by itself

X=7

Now you plug in 7 into the x’s in length and width

W=7 cm
L=31 cm

THE WIDTH IS 31 CM

Check:

7+7+31+31 = 76 cm
It equals 76 cm just like the problem said so therefore it is right.

7 0
3 years ago
4/25 of the purchases were stuffed animals. 10/21 of them were bears. What fraction of the purchases were stuffed bears?
Bess [88]
Let's name all the purchases "x"

so \frac{4}{25}of them were stuffed animals, and out of that \frac{10}{21} were bears.

to get the results we have to multiply the fraction of bears by the fraction of the stuff animals:

\frac{4}{25}*\frac{10}{21}.
 
and now we simplify:
\frac{4*2}{5*21}=\frac{8}{105}

and this is the answer!






4 0
3 years ago
Help please!!!!!!!!!!!!​
Sedbober [7]

Step-by-step explanation:

\frac{8}{6}  =  \frac{x}{3}  \\ x =  \frac{3 \times 8}{6}  = 4

7 0
2 years ago
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