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2 years ago

What is the solution set for - 4x + 10 = 5(x + 11)? HELPPPPPPP

Mathematics

1 answer:

Scorpion4ik [409]2 years ago

7 0

Answer:

-5

Step-by-step explanation:

-4x +10 =5(x +11)

-4x +10 =5x +55

-4x - 5x =55 - 10

-9x =45

x=-45 :9

x=-5

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A ramp leading into a building makes a 15o angle with the ground. the end of the ramp is 10 feet from the base of the building.

Oksanka [162]

We are tasked to solved for the length of the ramp having an inclination of 15 degrees with the ground and 10 feet from the end of the ramp to the base of the building of the ground. Using trigonometric properties, we have a formula given an angle and the its opposite sides which is,
sin(Angle)=opposite/hypothenuse
hypothenuse would be the distance or the length of the ramp.
so we have,
sin(15)=10/hypothenuse
Cross-multiply, we have,
hypothenuse=10/sin(15)
using scientific calculator having a DEG mode,
hypothenuse=38.63703
Rounding of in nearest tenth we get,
hypothenuse=38.6 ft
Therefore, the ramp is 38.6 ft long

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2 years ago

Sylvester and Lin go to the amusement park. Sylvester plays 5 rounds of mini golf and takes 4 turns in the batting cages for $60

leva [86]

Answer:

Step-by-step explanation

let's use g for golf and b for batting cages

So let's start with Sylvester

he plays 5 rounds of mini golf so 5g

and he takes 4 turns in the batting cages so 4b

and he pays 60 dollars for this

SO his equation is 5g+4b=60

Now onto Lin

3g for 3 rounds of golf

6b for 6 turns in the batting cages

He pays 45 dollars

SO his equation is 3g+6b=45

Both equations:

5g+4b=60

3g+6b=45

Now you need to cancel out one variable so you can multiply the first equation by 3 and the second one by -5

15g+12b=120

-15g-30b=-225

Now the g will cancel out when you add both equations

-18b=-105

b=105/18 which is about 5.83 dollars

Now plug in 105/18 into any of the original equations and solve for g

4 0

2 years ago

Line segment ON is perpendicular to line segment ML, and PN = 10.

Ne4ueva [31]

we know that

Triangle MOL is an isosceles triangle

because

$MO=OL=radius\ of\ circle=25\ units$

$ON=25\ units$

$ON=OP+PN\\ 25=OP+10\\ OP=25-10\\ OP=15\ units$

Find the base MP

Applying the Pythagorean Theorem in the right triangle MPO

$MO^{2} =MP^{2}+PO^{2}\\ MP^{2}=MO^{2}-PO^{2}\\ MP^{2}=25^{2}-15^{2}\\ MP^{2}=400\\ MP=20\ units$

$ML=2*MP\\ ML=2*20\\ ML=40\ units$

Find the area of triangle MOL

$A=\frac{1}{2}ML*PO\\ \\ A=\frac{1}{2}*40*15\\ \\ A=300\ unit^{2}$

therefore

the answer is

the area of triangle MOL is

$300$ square units

3 0

2 years ago

Read 2 more answers

The perimeter of a school crossing sign is 102 inches what is the length of each side

12345 [234]

Add up all sides lengths:

s+6 + s+6 + s + s + 2s = 102

solve for s:

6s + 12 = 102
6s = 90
s= 15

The lengths of sides are as follows:

15, 21, 21, 15, 30 inches

I hope that helps!

4 0

2 years ago

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Thirty percent of the students in a high school face a disciplinary action of some kind before they graduate. Of those students,

MAXImum [283]

Answer:

D. 54%

Step-by-step explanation:

For simplicity, lets assume we have 100 students in high school.

30% of students face disciplinary action, therefore;

⇒ (30/100) x 100 = 30 students.

of these 30 students, 40% go to college. therefore;

⇒ (40/100) x 30 = 12 students (go to college)

Also 70% of students do not face disciplinary action, therefore;

⇒ (70/100) x 100 = 70 students.

of these 70 students. 60% go to college. therefore;

⇒ (60/100) x 70 = 42 students (go to college)

Total number of students who go to college

⇒ 12 + 42 = 54 students

% of students who go to college

⇒ 54/100 = 54%

7 0

2 years ago

What is the solution set for - 4x + 10 = 5(x + 11)? HELPPPPPPP​

What is the solution set for - 4x + 10 = 5(x + 11)? HELPPPPPPP