1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Molodets [167]
3 years ago
14

Guest house is 15m long and 12m wide. what is the diagonal of the house?

Mathematics
2 answers:
Otrada [13]3 years ago
6 0

Answer:

The diagonal of the house is approximately 19.21m

Step-by-step explanation:

Taking the shape of the house as a rectangular building, if length l is 15m and width w is 12m, then to find the diagonal, we can relate the shape now formed to a right angle triangle as the diagonal line divides the rectangular house into 2 right angled triangle.

We can now say the diagonal line is d.

To solve the question, we can consider pythagoras theorem which is

a^{2} + b^{2} = c^{2}

The length l and width w can be taking as opposite and adjacent a and b respectively, while diagonal d can be taking as hypothenus c

l^{2} + w^{2} = d^{2}

Substitute for length 15m and width 12m, we will have

15^{2} + 12^{2} = d^{2}

225 + 144 = d^{2}

369 =  d^{2}

d = \sqrt{369}

d = 19.2094

d ≈ 19.21m

Ann [662]3 years ago
4 0
I think I got the answer. Use at your own risk. But I think the answer is 19.21
You might be interested in
Find the surface area of the solid. Round to two decimal places
Ne4ueva [31]
Check the picture below.

so, to get the area of the triangles, we can simply run a perpendicular line from the top to the base, and end up with a right-triangle with a base of 22 and a hypotenuse of 34, let's find the altitude.

\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
\sqrt{34^2-22^2}=b\implies \sqrt{672}=b

so then the surface area of the triangular prism is,

\bf \stackrel{\textit{left and right}}{2(34\cdot 76)}~~+~~\stackrel{\textit{bottom}}{(44\cdot 76)}~~+~~\stackrel{\textit{front and back}}{2\left[\cfrac{1}{2}(44)(\sqrt{672})  \right]}
\\\\\\
8512~~+~~(44)(\sqrt{672})\qquad \approx\qquad 9652.61036291978

5 0
3 years ago
An ice cream store has the pricing shown below. You want to determine the best value. The height of the cone is 4.5 in and the d
nignag [31]

Solution:

Step 1:

We will calculate the volume of ice cream in the single scoop

The volume of the ice cream will be

\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{2}{3}\pi r^3 \\ r=\frac{2in}{2}=1in(cone) \\ h=4.5in \\ r=\frac{3in}{2}=1.5in(radius\text{ of the hemisphere\rparen} \end{gathered}

By substituting the values, we will have

\begin{gathered} V=\frac{1}{3}\pi r^{2}h+\frac{2}{3}\pi r^{3} \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5+\frac{2}{3}\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{99}{14} \\ V=\frac{165}{14} \\ V=11.79in^3 \end{gathered}

Step 2:

We will use the formula below to calculate the volume of the two scoops of ic cream

\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{4}{3}\pi r^3 \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5in+\frac{4}{3}\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{99}{7} \\ V=\frac{132}{7} \\ V=18.86in^3 \end{gathered}

Step 3:

We will use the formula below to calculate the volume of the three scoops of ic cream

\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{6}{3}\pi r^3 \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5+2\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{297}{14} \\ V=\frac{363}{14} \\ V=25.93in^3 \end{gathered}

For the first ice cream with one scoop

\begin{gathered} 1in^3=\frac{3.50}{11.79} \\ 1in^3=\text{ \$}0.30 \end{gathered}

For the second ice cream with two scoops

\begin{gathered} 1in^3=\frac{4.50}{18.86} \\ 1in^3=\text{ \$}0.24 \end{gathered}

For the third ice cream with three scoops

\begin{gathered} 1in^3=\frac{5.50}{25.93} \\ 1in^3=\text{ \$}0.21 \end{gathered}

Hence,

The final answer is

The triple sold at $5.50 has the best value because it has the lowest price of $0.21 per cubic inch of the ice cream

3 0
10 months ago
Solve the equation ƒ - (-4) = 12.<br> ƒ = -8<br> ƒ = 16<br> ƒ = 8<br> ƒ = -9
Anarel [89]

Step-by-step explanation:

-8 - -4= -8+4=-4

16- -4=20

8- -4=12

-9--4=-5

3 0
2 years ago
Read 2 more answers
The price of a theater tickets 56.89.There are 22 seats in each row of the theater .How much would it cost to buy tickets for 2
mihalych1998 [28]

Answer:

Step-by-step explanation:

one row has 22 seats

2 rows have 44 seats

44x56.89=2,503.16

5 0
2 years ago
Read 2 more answers
Hey guys please help
omeli [17]
True.
Angle c=anglez
Angle RHC=angle XHZ
Therefore they’re similar.
Pls mark me as the Brainliest as I really need it, thanks!
7 0
2 years ago
Other questions:
  • Find the mean of the following scores on a math test: 73, 54, 73, 93, 54 Round to the nearest whole number if necessary
    9·1 answer
  • Find 7 1/2 divided by 2 1/2. Simplify and write as mixed number
    8·2 answers
  • Hey Guys, having trouble on this problem, can you help me?<br>Click on the Picture for full view
    15·1 answer
  • How do u calculate these numbers from least to greatest 0.02, 0, 6.98, 2 1/16, 2.2, 6.89, 2.01
    5·1 answer
  • What is the smallest number? 1/6, - 1/3, - 5/7, -3/6
    15·1 answer
  • What are the three cues to remember for dribbling with mature form in basketball?
    10·1 answer
  • What percent of 240 is 180?
    5·2 answers
  • Which of the follwing is not a pythagorean triple 10,16 19<br>8,15,17<br>16,63,65<br>11,60,61​
    11·1 answer
  • Madison walks 0.2 miles on each trip to the ball park.<br> How far will she walk on 4 trips?
    5·2 answers
  • PLEASE HELP ASAP WILL MARK BRAINLIEST!!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!