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
Blababa [14]
3 years ago
9

A juice container is a square prism with base edge length 4 inches. When an 8-inch straw is inserted into the container as shown

, exactly 1 inch remains outside the container. The length of AB is ___ inches, to the nearest inch. (Enter only the number.)

Mathematics
1 answer:
aleksandrvk [35]3 years ago
7 0
Assuming AB is the height because we are given it has a square base with 4 by 4

so draw a diagram ( see attachment)
given tha the 8 inch straw ha 1 inch sticking out, the diagonal is 7

use pythagorean theorem twice since 2 right triangles
a^2+b^2=c^2
4^2+4^2=c^2
16+16=c^2
32=c^2
sqrt both sides
4√2=c
the bottom diagonal is 4√2

bottom^2+height^2=7^2
(4√2)^2+(AB)^2=7^2
32+(AB)^2=47
minus 32 both sides
(AB)^2=15
sqrt both sides
AB=√15
if AB is the height

You might be interested in
Tom and JAERRY SHARE 56KD in the ratio 4:3
expeople1 [14]

a) 4:3 so 4+3= 7

56÷7=8

final answer : 8

b) 3×8 = 24

3 0
3 years ago
At the beginning of an environmental study, a forest covered an area of 1500 km². Since then, this area has decreased by 5.8% ea
Oliga [24]

Area covered by the forest in the beginning = 1500km²

Decrease in area each year = 5.8% = 5.8/100 × 1500 = 87km²

Decrease in the area of the forest in <em>t</em> years = 87t

Area of forest now = y

y = 1500 - 87t

7 0
3 years ago
Suppose that 40 deer are introduced in a protected wilderness area. The population of the herd
Scorpion4ik [409]

The horizontal asymptote of the function is the minimum number of deer in the area.

  • The equation of horizontal asymptote is: \mathbf{y = 40}
  • The horizontal asymptote means that, the number of deer will never be less than 40

The equation is given as:

\mathbf{f(x) = \frac{40 + 2x}{1 + 0.05x}}

Expand the numerator

\mathbf{f(x) = \frac{40(1 + 0.05x)}{1 + 0.05x}}

Cancel out the common factor

\mathbf{f(x) = 40}

Hence, the equation of horizontal asymptote is:

\mathbf{y = 40}

The horizontal asymptote means that, the number of deer will never be less than 40

Read more about horizontal asymptotes at:

brainly.com/question/4084552

8 0
3 years ago
What is the simplified form of the expression √450?
Darina [25.2K]
15<span>√2 is what I got for the answer.</span>
7 0
3 years ago
Brian started working at Domino’s in order to build his savings account. He started off with $33 dollars in his account, then ev
iragen [17]

Answer:

C

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • 1. Draw a set of railroad tracks such that the lengths of horizontal ties form a geometric sequence.
    12·1 answer
  • Can someone please tell me the three index laws?​
    15·2 answers
  • Jason has ​one third of a gallon of milk.
    10·2 answers
  • A diagonal is drawn on a square.
    6·1 answer
  • Which of the following expressions represents a function?
    15·1 answer
  • Need help on this one
    7·1 answer
  • What is the distance between points (0,0) and (-3,-4)?
    10·1 answer
  • A line passes through (1, - 1) and (3, 5). What is the equation of the line in slope-intercept form?​
    12·1 answer
  • In ΔQRS, the measure of ∠S=90°, the measure of ∠R=56°, and SQ = 49 feet. Find the length of QR to the nearest tenth of a foot.
    6·2 answers
  • Justin wants to buy a new pair of jeans. If the jeans were originally $50.00, but are on sale with a 30% discount, how much will
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!