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
puteri [66]
3 years ago
12

A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Roun

d to the nearest tent
Enter your answer in the box.

Mathematics
1 answer:
Norma-Jean [14]3 years ago
6 0

Answer:

141.4 cm

Step-by-step explanation:

Refer to the notations in the attached photo,

AG = d

Using Pythagoras Theorem:

In triangle ABC,

AC

=\sqrt{ {60}^{2}  +  {80}^{2} }

=\sqrt{3600 + 6400}

=\sqrt{10000}

= 100 cm

∴ AC is 100 cm.

In triangle ACG,

d

=\sqrt{ {100}^{2}  +  {100}^{2} }

=\sqrt{10000 + 10000}

=\sqrt{20000}

= 141.4 cm (cor. to the nearest tenth)

You might be interested in
8.<br> y<br> 5<br> х<br> -5<br> Ut<br> --5<br> slope =<br> Please help me
Burka [1]
Go choose the one you think
4 0
2 years ago
HELPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!
Veronika [31]

Answer:

Option 1 is the correct fraction as a division problem

5 0
2 years ago
Read 2 more answers
Im so lost im in algebra 1 and i feel so slow
Andrei [34K]

Answer:

Hey but you get better at in no time lol

Step-by-step explanation:

no need to worry

7 0
2 years ago
Mini Sweets bake shop is running a special on cupcakes. For every 10 cupcakes purchased, 3 free cupcakes are added to the order.
Ierofanga [76]
She would get 9 free cupcakes
8 0
3 years ago
Find the exact value of cot 7pi/4 &amp; sec13pi/6 including quadrant location
Gennadij [26K]
First we will convert those radian angles to degrees, since my mind works better with degrees.  Let's work one at a time.  First, \frac{7 \pi }{4} * \frac{180}{ \pi }=315.  If we start at the positive x-axis and measure out 315 we end up in the 4th quadrant with a reference angle of 45 with the positive x-axis.  The side across from the reference angle is -1, the side adjacent to the angle is 1, and the hypotenuse is sqrt2.  The cotangent of this angle, then is 1/-1 which is -1.  As for the second one, converting radians to degrees gives us that \frac{13 \pi }{6} * \frac{180}{ \pi } =390.  Sweeping out that angle has us going around the origin more than once and ending up in the first quadrant with a reference angle of 30° with the positive x-axis.  The side across from the angle is 1, the side adjacent to the angle is √3, and the hypotenuse is 2.  Therefore, the secant  of that angle is 2/√3.
3 0
3 years ago
Other questions:
  • Graph the line that passes through (2,5), parallel to the graph of 1.4x 8.5y=-3
    15·1 answer
  • Least to greatest -3/8,5/16,-0.65,2/4
    12·1 answer
  • If f(x) = - 2x^2 + 2x - 3, what is f(5)?
    7·1 answer
  • Anita took 1/6 of a cake and Barry took 60% of what remained. What fraction of original cake is left. Explain full method.
    11·2 answers
  • Find M&lt; NML ANSWER -156 78 162 81​
    9·1 answer
  • Work out the area of a rectangle with base, b = 20mm and perimeter, P = 42mm.
    15·2 answers
  • Last year, Chau had $10,000 to invest. He invested some of it in an account that paid
    7·1 answer
  • There are 347 students going on a field trip. Each bus holds 44 students. If each bus costs $95, is the total cost of the buses
    14·1 answer
  • Which equation’s graph is a horizontal line? *<br> x = 9<br> 3x + 2y = 8<br> y = - 5
    15·1 answer
  • The volume of a cubical box is
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!