Answer:
17.44 ft.
Step-by-step explanation:
Given,
The Distance of the hot air balloon: 110 ft
Change in elevation, [tex]\theta_1 = 25^0, \theta_2 = 32[/tex]
We know that,
[tex]\tan \theta = \dfrac{Perpendicular}{base}[/tex]
Now,
[tex]\tan \theta_1 = \dfrac{h_1}{110}[/tex]
[tex]\tan 25^0= \dfrac{h_1}{110}[/tex]
[tex]h_1 = 51.294\ ft[/tex]
[tex]\tan \theta_2= \dfrac{h_2}{110}[/tex]
[tex]\tan 32^0= \dfrac{h_2}{110}[/tex]
[tex]h_2 = 68.736\ ft[/tex]
Rise of balloon = 68.736 - 51.294
= 17.442 ft
= 17.44 ft
Hence, the rise of the balloon rise is 17.44 ft.
Find the area of the composite figure. Write just the answer in the blank.
Answer: 297 yd
Step-by-step explanation:
You need to find the area of the rectangle and triangle then add both areas together to find the total area of the composite figure.
Area of rectangle: 12 x 18 = 216
Area of triangle: 81
A = 1/2bh
A = 1/2 x 18 x 9
A = 81
Total area of composite figure: 216 + 81 = 297
solve the inequality
x + 0.7 > -0.3
Answer:
x=4.23606797,−0.2360679
Step-by-step explanation:
sorry if im wrong
Write the equation of a line that is perpendicular to y=7x−2 and passes through the point (14,8).(1 point) y=7x−90 y=10x−17 y=−17x+1067 y=−17x+10
Answer:
[tex]\huge\boxed{y=-\frac{1}{7}x+ 10}[/tex]
Step-by-step explanation:
In order to find the equation of this line, we need to note two things.
A) The slope of two lines that are perpendicular will be opposite reciprocals (that is, multiplying them gets us -1.)B) We can substitute a point inside an incomplete equation to try and find a missing value.So first, let's find the opposite reciprocal of 7 which will be the slope to this equation.
Reciprocal of 7: [tex]\frac{1}{7}[/tex] Opposite of [tex]\frac{1}{7}[/tex]: [tex]-\frac{1}{7}[/tex]So the slope of this line will be [tex]-\frac{1}{7}[/tex]. The y-intercept will change, and we can substitute what we know into the equation [tex]y=mx+b[/tex].
[tex]y = -\frac{1}{7}x+b[/tex]
Now, we can substitute a point on the graph (14, 8) into this equation to find b.
[tex]8 = -\frac{1}{7} \cdot 14 + b[/tex] [tex]8 = -\frac{14}{7} + b[/tex] [tex]8 = -2 + b[/tex] [tex]b = 10[/tex]Now that we know the y-intercept, we can finish off our equation by plugging that in.
[tex]y = -\frac{1}{7}x + 10[/tex]
Hope this helped!
Answer:
y=−17x+10
Step-by-step explanation:
shorter version
The number line represents −4 1/2+3 1/4. What is the sum?
Answer:
C
Step-by-step explanation:
Rbrberbrb
Answer: Its c
=- 1 1/4
Your high school freshman class consists of 760 students. In recent years, only 4 out of 7 students actually graduated in four years. Approximately how many of your classmates are expected to graduate in four years?
a.
190 students
b.
760 students
c.
434 students
d.
1330 students
please helppppp. i don’t get it and the teacher doesn’t explain it.
Answer:
1. 22
2. 12
3. Sorry, I'm unable to solve for 3.
4. 5
Step-by-step explanation:
AB is congruent to AD so let's solve the equation:
[tex] \: \: \: \: \: \: \: \: \: \: \: 8x - 2 = 6x + 4 \\ \frac{ - 6x \: \: \: \: \: \: \: \: \: \: \: = - 6x}{2x - 2 = 4} \\ \frac{ \: \: \: \: \: \: \: \: \: \: + 2 = + 2}{ \frac{2x}{2} = \frac{6}{2} } \\ x = 3[/tex]
☆Now we plug in for AD.
[tex]AD \\ 6x + 4 \\ 6(3) + 4 \\ 18 + 4 \\ 22[/tex]
---------------
m<CED is on a right angle, that angle equal 90 degrees.
[tex]7x + 6 = 90 \\ \frac{ \: \: \: \: \: \: - 6 = - 6}{ \frac{7x}{7} = \frac{84}{7} } \\ x = 12[/tex]
-----------
#4. You can do the Pythagorean theorem
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {4}^{2} + {3}^{2} = {c}^{2} \\ {16} + 9 = {c}^{2} \\ \sqrt{25} = {c}^{2} \\ 5 = c[/tex]
------------
At Smith’s Bike Rentals, it cost $27 to rent a bike for 6 hours. How many dollars does it cost per hour of bike use
Answer:
$4.50 per hour
Step-by-step explanation:
Step 1: 27 divided by 6 is 4.50
Step 2: Double check your work by multiplying 4.50 times 6 to make sure you get 27
What is the sum (-19X10) + 7
Answer:
-19×10= -190
-190+7= -183
I don't understand. Please Help Me!
Answer:
what
Step-by-step explanation:
Which of the following is the equation of
the line graphed below?
y=-2x-2
x-2-2
y --Zx-2
y - 2x - 2
Answer:
y=2x-2
I hope this helps:
What is greater 0.5 , 0.41 , or 3/5
Answer: 3/5
Step-by-step explanation:
If you turn 3/5 into a decimal, you’ll see that it would be 0.6 so this is greater than the other two
A school has a capacity of 965 students. If 541 students are already enrolled in the school, how many students remain? Round to the nearest ten.
Answer:
420 students
Step-by-step explanation:
965-541=424
round to the nearest ten and you get 420
i hope this helped, please mark this as brainliest! thanks
Answer:
The answer is 420
Step-by-step explanation:
You first do the equation 965 - 541. The answer to that is 424, but when you round it to the nearest ten, the answer would be 420.
Please answer this correctly without making mistakes
Answer:
2 pt + 1c
Step-by-step explanation:
There are 2 cups in a pint. So, 2c = p, dividing 2 from both sides, we get
c = (1/2)p
Replace c with 1/2 p in the equation
5 pt - (2pt + (1/2)p)
= 5pt - 2pi - (1/2)p
= 3pt - (1/2)p
= 2pt + (1/2)p
Replace back (1/2)p for c
2pt + (1/2)p =
2 pt + 1c
Is it true that x= -5 ? -2(-4x-1)-x+3=−30 Justify your answer.
Answer:
Step-by-step explanation:
here you go mate
step 1
-2(-4x-1)-x+3=−30 equation/Question
step 2
-2(-4x-1)-x+3=−30 distribute
7x+5=-30
step 3
7x+5=-30 subtract 5
7x=-35
step 4
[tex]\frac{7x}{7} =\frac{-35}{7}[/tex] divide
answer
x=-5
Answer:
-2(-4x-1)-x+3=-30
8x+2-x+3=-30
7x+5=-30
7x=-30-5
7x=-35
x=-35÷7
x=-5
(10 points) Suppose you are rolling a fair die 600 times independently. Let X count the number of sixes that appear. (a) What type of random variable is X
Answer:
let me think
Step-by-step explanation:
i want free points
Find the slope intercept equation of the line
Answer:
I know that the y-intercept is 5
Step-by-step explanation:
because the line goes through 5
Answer:
y = -4/5x + 5
Step-by-step explanation:
You need the equation y = mx + b
the y intercept is 5 which is b
You just need to pick any point on the line and use those coordinates to plug into the equation for x and y to solve for the slope (m)
I will use point (5, 1)
So plugging in that coordinate and the value for b in the equation
y = mx + b is (1) = m(5) + 5
Solve for m m= -4/5
so plug m and b back into the equation y = mx + b
is
y = -4/5x + 5
Stephen gathered data about the average rainfall in two cities. He organized his data in the showing graph.
Answer: B and R
Step-by-step explanation:
Evaluate the expression: −(8 − 12) + 60 + (−4)2
Answer:
Step-by-step explanation:
here you go mate
step 1
−(8 − 12) + 60 + (-4)2 Equation/Question
step 2
−(8 − 12) + 60 + (-4)2 simplify
-(-4)+60+(-4)(2)
4+60+(-4)(2)
64+(-8)
answer
56
The value of the given expression −(8 − 12) + 60 + (−4)² will be 80.
What is the arithmetic operator?Arithmetic operators are operators in mathematics where basic four operators involve. Addition, multiplication, division, and subtraction.
Addition = addition of two or more numbers or variable
For example =3 + 4
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example =8 - 9
Division = divide any two numbers or variable called division.
For example 7/3
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 4.
Given,
⇒ −(8 − 12) + 60 + (−4)²
⇒ -(-4) + 60 + 16
⇒ 4 + 60 + 16
⇒ 80
Hence "The value of the given expression −(8 − 12) + 60 + (−4)² will be 80".
To learn more about the arithmetic operators,
brainly.com/question/25834626
#SPJ5
if 50% is 15 what is 75%
Answer:
22.5
Step-by-step explanation:
50% of a number is 15
let the unknown number be = x
[tex] \frac{50}{100} \times x = 15[/tex]
[tex]x = 15 \div \frac{50}{100} [/tex]
[tex]x = 15 \times \frac{100}{50} [/tex]
[tex]x = \frac{1500}{50} [/tex]
[tex]x = 30[/tex]
75% of 30:
[tex] \frac{75}{100} \times 30 = 22.5[/tex]
If my puppy either 8 pounds when we first got her and now sieges 21 what is the percent change of her weight
Is the point (4,2) a solution of the equation y = 3x - 13?
No
Yes
Please help me!!!!!!!!!!!!!!!!!!!!!
fill in the blanks please!!
Words you can use are in the picture.
1. A comparison of one number to another by division is a ________.
2.________ name the same comparison.
3. A ratio that compares quantities with different units is a ________.
4. A _______ is a ratio, or rate, that compares a number to 100
5._______ a fraction or a ratio by dividing the numerator and denominator by a common factor.
Answer:
1. Ratio
2. Equivalent Ratios
3. Rate
4.Percent
5.Simplify
You are purchasing a car for $12,465.00 plus 5.65% sales tax. You make a $1,300.00 down payment and have a fair credit score. If you improved your credit score to good and paid $1,500 on your purchase, how much interest could you save in the first month?
Secured Unsecured
Credit APR (%) APR (%)
Excellent 4.75. 5.50
Good 5.00 5.90
Average 5.85 6.75
Fair 6.40 7.25
Poor 7.50 8.40
$13.25
$14.68
$21.74
$25.69
Answer:
21.74
Step-by-step explanation:
Substitute x=5y into the expression -3x + 11 and simplify
Answer:
-15y+11
Step-by-step explanation:
-3(5y)+11
-15y+11
please help !!!! urgent
Answer:
[tex]P(x) = 16x - 100 - 0.1x^2[/tex]
Step-by-step explanation:
Given
[tex]R(x) = 46x[/tex]
[tex]C(x) = 100 +30x +0.1x^2[/tex]
Required
Determine the profit function
This is calculated as follows:
[tex]P(x) = R(x)- C(x)[/tex]
Substitute values for R(x) and C(x)
[tex]P(x) = 46x - (100 + 30x + 0.1x^2)[/tex]
Open bracket
[tex]P(x) = 46x - 100 - 30x - 0.1x^2[/tex]
Collect like terms
[tex]P(x) = 46x - 30x - 100 - 0.1x^2[/tex]
[tex]P(x) = 16x - 100 - 0.1x^2[/tex]
The points (-5, -31) and (3,r) lie on a line with slope 4. Find the missing coordinate r
Answer:
-7
Step-by-step explanation:
PLEASE ANSWER THIS ASAP, I WILL BE GIVING YOU A THANKS! .
Answer:
D.) 12
Step-by-step explanation:
16x - 3(4x + 5) = 2x + 9
16x - 12x - 15 = 2x + 9
4x - 2x = 15 + 9
2x = 24
2x/2 = 24/2
x = 12
Check:
16x - 3(4x + 5) = 2x + 9
16(12) - 3(4(12) + 5) = 2(12) + 9
192 - 3(48 + 5) = 2(12) + 9
192 - 3(53) = 24 + 9
192 - 159 = 33
33 = 33
If x=3y substitute the value of x into expression simplify 3x+6
Answer:
(3y)3+6
Step-by-step explanation:
pls help I will give brainleist and all my points! but you can only get the points if you actually answer!!!!!
Answer:
y(6 1/4) = 11 3/4
Step-by-step explanation:
I hope this helps!! Also sorry if I'm wrong....
You can just pick one or something anything is appreciated