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Neporo4naja [7]

2 years ago

5

An equilateral triangle ΔLMQ (see picture to the right) is drawn in the interior of square LMNP so that side LM is common. Find

m∠LQP.

1 answer:

Tom [10]2 years ago

4 0

Answer:

lqp=75 degrees

Step-by-step explanation:

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a circle with a 12-inch diameter is folding in half and then folded in half again what is the area of the resulting shape

andrew-mc [135]

Answer:

3π in^2

Step-by-step explanation:

Area of the circle before folding = π r^2

= 6^2 π

= 36 π is^2

The area of the resulting shape = 1/2 * 1/2 * 12π

= 3 π in^2.

7 0

2 years ago

On a recent road trip, Mr. Yost drove 210 miles in 3 1/2 hours. Find both the miles driven per hour and the hours driven per mil

amid [387]

Miles driven per hour is 60 miles per hour

Hours driven per mile is 0.01667 hours per mile

<em><u>Solution:</u></em>

Given that,

On a recent road trip, Mr. Yost drove 210 miles in 3 1/2 hours

Therefore,

Miles driven = 210 miles

$Time\ taken = 3\frac{1}{2}\ hour = \frac{7}{2} = 3.5\ hour$

To find: miles driven per hour and the hours driven per mile

<h3><u>Miles driven per hour</u></h3>

$\frac{miles}{hour} = \frac{210}{3.5}\\\\\frac{miles}{hour} = 60\ miles\ per\ hour$

<h3><u>Hours driven per mile</u></h3>

$\frac{hours}{miles} = \frac{3.5}{210}\\\\\frac{hours}{miles} = 0.01667\ hours\ per\ miles$

Thus both the miles driven per hour and the hours driven per mile are found

7 0

2 years ago

Aramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet, as shown in the figure.

bonufazy [111]

Answer:

The ratio of Tan B is

$\tan B= \dfrac{AC}{BC}=\dfrac{8}{15}$

OR

$\tan A= \dfrac{BC}{AC}=\dfrac{15}{8}$

Step-by-step explanation:

In Right Angle Triangle ABC

angle C = 90°

AB = Ramp = 17 feet

BC =Horizontal distance = 15 feet

AC = Height from floor = 8 feet

To Find:

Ratio of Tan B = ?

Solution:

In Right Angle Triangle ABC By Tangent Identity we have

$\tan B= \dfrac{\textrm{side opposite to angle B}}{\textrm{side adjacent to angle B}}$

Substituting the given values we get

$\tan B= \dfrac{AC}{BC}=\dfrac{8}{15}$

OR

$\tan A= \dfrac{BC}{AC}=\dfrac{15}{8}$

5 0

2 years ago

How do you simplify (25/a -a l) / (5+a)

andrey2020 [161]

Simplify the following:

(25/a - a l)/(a + 5)

Put each term in 25/a - a l over the common denominator a: 25/a - a l = 25/a - (a^2 l)/a:

(25/a - (a^2 l)/a)/(a + 5)

25/a - (a^2 l)/a = (25 - a^2 l)/a:

Answer: ((25 - a^2 l)/a)/(a + 5)

7 0

2 years ago

The volleyball team at West View High School is comparing T-shirt companies where they can purchase their practice shirts. The t

mina [271]

10.5x = 7.5x + 30
10.5x - 7.5x = 30
3x = 30
x = 30/3
x = 10

10.5(10) = 105
7.5(10) + 30 = 75 + 30 = 105

they need to purchase 10 t-shirts from each company for a total of $105 for each company

5 0

2 years ago

Read 2 more answers