Answer:
Step-by-step explanation:
The set up is a right angles triangle where;
Height of the building = 30feet (opposite)
Angle of elevation = 70 degrees
Length of the ladder (hypotenuse) = x
Using SOH trig identity;
sin theta = opp/hyp
sin 70 = 30/x
x = 30/sin 70
x = 30/0.9397
x = 31.93feet
Hence the ladder must be 31.93 feet long to reach the top of the building
The blueprints of a house show that a wall is 21 feet long. If the blueprints have a map scale of 1.5 inches = 3 feet, how long is the model wall
Answer:
10.5 inches
Step-by-step explanation:
Which of the following is formed by the intersection of a right circular cone and a plane?
Vertex
Conic section
Linear equation
Nappe
A packaging company is planning is in the planning stages of creating a box that include a three dimensional support inside the box.The box has a width of 5 feet a length of 6 feet and a height of 8 feet. How long will the diagonal support need to be
Answer:
The length of the diagonal support is 69 feet.
Step-by-step explanation:
Dimensions of the box: length = 6 feet
width = 5 feet
height = 8 feet
The diagonal support relates with the diagonal of the base and the height.
From the base of the box, let the length of its diagonal be represented by x. Applying Pythagoras theorem;
[tex]/Hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]
[tex]x^{2}[/tex] = [tex]6^{2}[/tex] + [tex]5^{2}[/tex]
[tex]x^{2}[/tex] = 36 + 25
= 61
x = [tex]\sqrt{61}[/tex]
= 7.81
let the length of the diagonal support be represented by l. So that;
[tex]/Hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]
[tex]l^{2}[/tex] = [tex]x^{2}[/tex] + [tex]8^{2}[/tex]
= [tex]\sqrt{61}[/tex] + 64
l = [tex]\sqrt{\sqrt{61} + 64 }[/tex]
= 61 + 8
= 69
Thus, the length of the diagonal support is 69 feet.
Hi! I'm big dumb and I got this wrong once already.
Rachel finished a meal at a diner and received a bill for $10.99. She charged the bill along with a 15 percent gratuity to her credit card. What is the total amount she charged to her credit card? Round to the nearest cent if necessary.
$11.14
$12.64
$13.19
$13.73
Oi! Katsuki here!
This question's answer is $12.64.
A thanks would be helpful! Have a great day!
Baku out!
$12.64Answer:
brainliest?Step-by-step explanation:
Convert the mixed number 1 1/2 to an improper fraction
Answer:
1 1/2 = 3/2
Step-by-step explanation:
Answer:
3/2
Step-by-step explanation:
because the whole number one is equal to 2 halves for it would be 2+1 which would give u 3 over 2 hope that helps :)
Solve the following equation for A. Be sure to take into account whether a letter is
capitalized or not.
4 = gA
Answer:
4/a
Step-by-step explanation:
ILL MARK BRAILIEST!!!
what is the solution to the system of equations shown below?
Answer:
(3, -2)
Step-by-step explanation:
Simplify (–9k3 + 12k2 + 9) – (10k3 + 3k2 + 4k – 8)
Answer:
-43K+17
Step-by-step explanation:
(–9k3 + 12k2 + 9) – (10k3 + 3k2 + 4k – 8)
-9.3=-27 10.3=30
12.2=24 3.2=6
=(-27k+24k+9) - (30k+6k+4k-8)
COLLECT LIKE TERMS
=(-3k+9) - (40K-8)
= -3k+9-40k+8
= -43k+17
Answer:
-19k³ + 9k² + 17
Step-by-step explanation:
Given expression;
(-9k³ + 12k² + 9) - (10k³ + 3k² + 4k - 8)
To simplify, expand the brackets.
In the second bracket, the negative sign multiplies through;
= (-9k³ + 12k² + 9) - 10k³ - 3k² - 4k + 8
= -9k³ + 12k² + 9 - 10k³ - 3k² - 4k + 8
= -9k³ - 10k³ + 12k² - 3k²+ 9+ 8
= -19k³ + 9k² + 17
Prove angle DBC= 45 degrees
Answer:
90 divided by 2
Step-by-step explanation:
you're going to do 90 divided by 2 and then you get 45
From an Algebra 2 class
solve x^2+9=0
Answer:
x = {-3, 3}Step-by-step explanation:
Simplifying
x2 + -9 = 0
Reorder the terms:
-9 + x2 = 0
Solving
-9 + x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + x2 = 0 + 9
Combine like terms: -9 + 9 = 0
0 + x2 = 0 + 9
x2 = 0 + 9
Combine like terms: 0 + 9 = 9
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
Answer:
10^2=0
Step-by-step explanation
Because x by it self always means one it would technically be 1^2+9 which would equal 10^2=0
The measure of the quality of a person's life based on income and the type
and quantity of goods available to him or her is
A. utilities
B. standard of living
c. a budget
D. housing
PLEASEEE HELP ASAPPPP . When solving using Elimination:
When adding the following equations, which variable will be eliminated?
6x + 3y = 9
4x - 3y = -19
1. Y 2. Neither 3. X
Find two numbers the quotient is between. Then estimate the quotient. Estimate. 37 ÷ 3 The quotient is between and . The estimate for the quotient is .
A floral shop earns a profit of $4500 in March and $20500 in July, what is the rate of change in profit for this time period
what kind of flower shop are you talking about
ASAP I WILL MARK BRAINLIST!!!!!!
You are Miguel Cervantes de Navas y Colon, captain in the Royal Spanish Army in Sevilla in the year 1842. Outside your barracks window is a stack of cannonballs, as shown in the illustration. On an idle afternoon you decide to calculate the number of cannonballs in the stack. What is the number of cannonballs?
In Sevilla in the year 1842, you are Miguel Cervantes de Navas y Colon, a captain in the Royal Spanish Army. The total number of cannonballs in the stack is 385.
Given that,
In Sevilla in the year 1842, you are Miguel Cervantes de Navas y Colon, a captain in the Royal Spanish Army.
A pile of cannonballs is seen outside the window of your barracks.
The total number of cannonballs can be calculated using the steps below:
The following is a general formula to determine how many cannonballs are altogether in the stack:
Total number of cannonballs is n(n+1)(2n+1)/6
where "n" represents the overall number of layers.
Change the value of "n" in the formula above.
1st layer is stack of cannonballs is 1²=1 cannonball.
2nd layer is stack of cannonballs is 2²=4 cannonballs.
3rd layer is stack of cannonballs is 3²=9 cannonballs.
last layer is stack of cannonballs is 10²=100 cannonballs.
n is 10.
Substitute in the formula
=10(10+1)(2×10+1)/6
=10×11×21/6
=385
Therefore, the total number of cannonballs in the stack is 385.
To learn more about cannonballs visit: https://brainly.com/question/5056521
#SPJ1
Okay, After this i'm done asking for help. I hope..
A family eats out at a restaurant and the total for their meals is $73.89. They also pay sales tax of 5.8% and leave a tip for their server. If the family leaves a total of $93, which of the following might be a description of the service they received?
a.
They left a 10% tip, so the service was probably below average.
b.
They left a 15% tip, so the service was probably average.
c.
They left a 20% tip, so the service was probably above average.
d.
They left a 25% tip, so the service was probably outstanding.
Answer:
Hehe boi
Step-by-step explanation:
Colin and Brian were playing darts. Colin scored 141. Brian scored 154 more than Colin. What was their combined score?
Answer:436
Step-by-step explanation:
Since Colin scored 141 and Brian scored 154 more than Colin that would be (154+141). So Brian scored 295, so you add Brian's score and Colin's so 295+141, the total score is 436
what does 22+22= EQUAL
Three sisters have ages that are consecutive odd integers. The sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sister's age. (a) If x represents the age of the youngest child, then write an equation that models this scenario. (b) Determine the ages of the three sisters.
Answer:
(a) x + 3(x + 4) = 5(x + 2) - 5
(b) youngest: 7 years old
middle: 9 years old
oldest: 11 years old
Step-by-step explanation:
(a)
We know that x is the youngest child's age. Since the sisters' ages are consecutive odd integers, we know that the ages differ by 2. So, the middle sister's age is x + 2 and the oldest sister's age is x + 4.
Our equation to model the sentence "the sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sister's age" would be:
x + 3 * (x + 4) = 5 * (x + 2) - 5
x + 3(x + 4) = 5(x + 2) - 5
(b)
Now, we can just solve the equation above:
x + 3(x + 4) = 5(x + 2) - 5
x + 3x + 12 = 5x + 10 - 5
4x + 12 = 5x + 5
x = 12 - 5 = 7
So, the youngest sister is 7 years old.
That means the middle sister is 7 + 2 = 9 years old, and the oldest sister is 9 + 2 = 11 years old.
The ages, then, are:
youngest: 7 years old
middle: 9 years old
oldest: 11 years old
1/2 - (3/4 - 3/8)
full answer is needing pls with steps!
Answer:
1/8
Step-by-step explanation:
First, take 3/4 and make a common denominator with 3/8. You can make 3/4 into 6/8. Now, subtract 3/8 from 6/8 which is 3/8.
Second, find the common denominator between 3/8 and 1/2. You can make 1/2 into 4/8.
Third. Now subtract 3/8 from 4/8. You get 1/8.
The answer therefore is 1/8
btw its an easy question!
BRAINLIEST + FRIENDS IF U ANWER MY QUESTION!!!
Answer:
sam houston because Lamar was against annexation
Step-by-step explanation:
1. Dan charges $15 per hour for walking dogs. What is the missing number in the table?
A 50
C 75
B 60
D 82.5
HELP I NEED TO TURN THIS IN
Answer:
EF=35
EG=44
Step-by-step explanation:
If sum of the perpendicular distances of a variable point P (x, y) from the lines x + y – 5 = 0 and 3x – 2y + 7 = 0 is always 10. Show that P must move on a line.
Answer:
I need points!!!!!!!!
Step-by-step explanation:
EWWWWWWWWWWWWWWWWWWWWWWWWWWWWW
which of the following points are solutions to the equation 3x-4y-8=12
What is the product of (–22.1)(–5.6)?
–123.76
–27.7
27.7
123.76
Answer:
-123.76
Step-by-step explanation:
You just multiply -22.1 by -5.6 and you get -123.76.
what is 30 times 48?
Answer:
1440
Step-by-step explanation:
It’s 1440
What is the slope of the line that passes through the points (8,4) and (20,-4)?
Write your answer in simplest form.
Answer:
for (8,4) is 2 and for (20,_4) is _5
Please help!!!
Identify the equation in point-slope form for the perpendicular bisector of the segment with endpoints B(6,9) and C(8,−7).
Answers are one of the following
1.y − 1 = −8(x − 7)
2.y − 7 = 8(x − 1)
3.y−1=−18(x−7)
4.y−1=18(x−7)
Answer:
[tex]y-1=\frac{1}{8}\left(x-7\right)[/tex] is the equation in point-slope form for the perpendicular bisector of the segment with endpoints B(6,9) and C(8,−7).
Step-by-step explanation:
The endpoints:
B(6,9)C(8,−7)Calculating the Midpoint M of BC:
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(6,\:9\right),\:\left(x_2,\:y_2\right)=\left(8,\:-7\right)[/tex]
The Midpoint M of BC [tex]=\left(\frac{8+6}{2},\:\frac{-7+9}{2}\right)[/tex]
[tex]=\left(7,\:1\right)[/tex]
Calculating the slope of BC:
[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(6,\:9\right),\:\left(x_2,\:y_2\right)=\left(8,\:-7\right)[/tex]
[tex]m=\frac{-7-9}{8-6}[/tex]
[tex]m=-8[/tex]
Given a line with slope [tex]m[/tex] then the slope of a
line perpendicular to it is:
[tex]m_{prependicular}=-\frac{1}{m}=-\frac{1}{-8}=\frac{1}{8}[/tex]
Equation of line using point-slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-1=\frac{1}{8}\left(x-7\right)[/tex]
Therefore, [tex]y-1=\frac{1}{8}\left(x-7\right)[/tex] is the equation in point-slope form for the perpendicular bisector of the segment with endpoints B(6,9) and C(8,−7).
What is the y-intercept of the line that passes through the points (-3, 3) and (7, 5)? Type your answer as a decimal or improper fraction. NO mixed numbers.
b =
Step-by-step explanation: 5