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shtirl [24]
2 years ago
14

Karen buys 5 cups of coffee and 2 bagels for $26. Kenneth buys 3 cups of coffee and 3 bagels for $21. How much does one cup of c

offee cost? How much does one bagel cost?
Mathematics
1 answer:
Alenkinab [10]2 years ago
8 0
$4.00 coffee, $3.00 bagel
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Triangle N T M is shown. Angle N T M is a right angle. An altitude is drawn from point T to point U on side N M to form a right
stich3 [128]

Answer:

The value of y is 6\sqrt{3} units ⇒ 2nd answer

Step-by-step explanation:

In the attached figure

∵ ∠MTN is a right angle

∵ TU is the altitude of the triangle

- There are some rules in this triangle let us revise them

  • (NT)² = NU . NM
  • (MT)² = MU . MN
  • (TU)² = MU . NU
  • TM . TN = TU . MN

∵ NU = 9 units

∵ UM = 3 units

∵ MN = UM + NU

∴ MN = 3 + 9 = 12 units

- By using the 1st rule above

∴ (NT)² = 9 × 12

∴ (NT)² = 108

- Take a square root to both sides

∴ NT = \sqrt{108}

- Simplify the root

∴ NT = 6\sqrt{3} units

∵ NT is y

∴ y = 6\sqrt{3} units

The value of y is 6\sqrt{3} units

8 0
2 years ago
Read 2 more answers
Nicole shines a light from a window of a lighthouse on a cliff 250 feet above the water level. Nick 10 feet above the water leve
Allushta [10]

Answer:

4585.8 feet

Step-by-step explanation:

If we draw the triangle, the opposite side to 3° angle would be "10" less than total height of 250 because Nick is 10 feet above water level, so that side will be:

250 - 10 = 240

The hypotenuse of the triangle is the length of line of sight. We can call this "x".

So, using trigonometric ratio of sine (opposite/hypotenuse), we can write:

Sin(3)=\frac{240}{x}

Now, we cross multiply and solve for x, line of sight length:

Sin(3)=\frac{240}{x}\\x=\frac{240}{Sin(3)}\\x=4585.8

3 0
1 year ago
A tailor cuts a piece of thread One-half of an inch long from a piece Nine-sixteenths of an inch long. What is the length of the
lukranit [14]

Answer:

The length of the remaining piece of thread is  \frac{1}{16}.

Step-by-step explanation:

Given:

A tailor cuts a piece of thread One-half of an inch long from a piece Nine-sixteenths of an inch long.

Now, to find the length of the remaining piece of thread.

Total thread  = \frac{9}{16} \ inch.

Tailor cuts a piece of thread = \frac{1}{2}\ inch.  

Now, to get the length of the remaining piece of thread by subtracting tailor cuts a piece of thread from the total thread:

\frac{9}{16} -\frac{1}{2} \\\\=\frac{9-8}{16} \\\\=\frac{1}{16}

Therefore, the length of the remaining piece of thread is  \frac{1}{16}.

8 0
1 year ago
8.73e16 in standard form
pentagon [3]
Answer is: 77575744.84403361
7 0
2 years ago
The table gives the highest and lowest recorded temperatures for six cities. Which cities recorded a difference between their hi
S_A_V [24]

Answer:

A and E

Step-by-step explanation:

Death Valley and Alaska

73+42=115

134+15=149

5 0
2 years ago
Read 2 more answers
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