A ladder that is 6 meters long leans
against a building. The base of the
ladder is 1.5 meters from the base
of the building. To the nearest
hundredth of a meter, how far up
the building does the ladder reach?
Answer:
Height of building from base to ladder = 5.8 meter (Approx.)
Step-by-step explanation:
Given:
Length of ladder = 6 meters
Distance of ladder from base = 1.5 meters
Find:
Height of building from base to ladder
Computation:
Perpendicular = √Hypotenuse² - Base²
Height of building from base to ladder = √Length of ladder² - Distance of ladder from base²
Height of building from base to ladder = √6² - 1.5²
Height of building from base to ladder = √36 - 2.25
Height of building from base to ladder = √33.75
Height of building from base to ladder = 5.8 meter (Approx.)
please help asap!! :)
Answer:
[tex]C\approx 5.14[/tex]
Step-by-step explanation:
The circumference is the distance around a complete circle: in essence, the perimeter of a circle. The formula to find the circumference of a circle is the following:
[tex]C=(d)(\pi)[/tex]
Where (d) represents the diameter, the largest cord that can be drawn in a circle, it goes from one end to another, passing through the center of the circle. The parameter ([tex]\pi[/tex]) represents the number (3.1415...). However, one is given a semicircle, thus one must divide the result in two, and then add the value of the diameter to find the perimeter of the given object. Therefore the equation for the circumference of this circle is as follows:
[tex]C=\frac{(d)(\pi)}{2}+(d)[/tex]
Substitute in the given value,
[tex]C=\frac{(2)(3.1415)}{2}+(2)[/tex]
Simplify,
[tex]C=3.1415...+2[/tex]
[tex]C=5.1415[/tex]
[tex]C\approx 5.14[/tex]
Set up an equation for the value of x.
Answer:
x = 27
Step-by-step explanation:
∠ GAF = 90° , then
x + 63 = 90 ( subtract 63 from both sides )
x = 27
Answer:
27
Step-by-step explanation:
Angle x and 63 are complementary angles forming 90
Therefore,
90 - 63 = x
27 = x
Will reward the best answer brainliest.
Use elimination method to solve
-3x + 3y = 4
-x + y = 3
- 1/2 + ( 3/4 x 4/9)
Answer:- 1/6
Step-by-step explanation:
3) We all know how toilet paper has been horded during the pandemic. Your teacher has cleared out a closet to hoard TP. Using the Fermi process, you need to estimate the number of rolls of TP she can fit into a rectangular prism section of a closet with dimensions of 36 in. By 108 in. By 36 in. Measure a roll of TP at your home, remember it is a cylinder you need its radius and height to calculate its size. Radius: __2in_______ Height: _5in___________ About how many rolls of TP can fit into the closet section?
Answer:
I rounded to 1,591 rolls of toilet paper can fit. I have the big rolls so I may fit less than the average roll.
Step-by-step explanation:
87.96 SA Per roll
140,000 Volume for the closet.
what is the longest line segment that can be drawn in a right rectanglular prism that is 14 cm long 13 cm wide and 10 cm tall
what is 423/6 as a mixed number
Divide to get 70.5
turn into fraction
70 5/10=
70 1/2
Answer:
70 1/2
Step-by-step explanation:
first you have to divide 423 into 6 and then the remainder is the fraction so the answer is 70 5/10 or 70 1/2, same thing
The table shows the beverage preferences of 50 shoppers at the mall.
Beverage Survey
Beverage Number of
Shoppers
A
15
B
12
с
9
D
6
E
8
a. Write a probability distribution of the experiment.
b. Based on your distribution, what is the probability that one shopper, selected at random prefers either Beverage A or
Beverage C?
a. a.
Outcome A B С D E
Probability 0.3 0.24 0.18 0.12 0.16
b. 0.52
Mark this and return
Save and Exit
Next
Submit
The probability that one shopper, selected at random prefers either Beverage A or Beverage C; P(A or C) = 12/25.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
We are looking for the probability that one shopper, selected at random prefers either Beverage A or Beverage C.
a. A probability distribution of the experiment.
The probability of selecting Beverage A is ;
P(A) = 15/50 = 0.3
The probability of selecting Beverage B is ;
P(B) = 12/50 = 0.24
The probability of selecting Beverage C is ;
P(C) = 9/50 = 0.18
The probability of selecting Beverage D is ;
P(D) = 6/50 = 0.12
The probability of selecting Beverage E is ;
P(E) = 8/50 = 0.16
b. The probability that one shopper, selected at random prefers either Beverage A or Beverage C.
P(A or C) = 15/50 + 9/50
P(A or C) = 24/50
Thus, P(A or C) = 12/25
Learn more about probability here;
https://brainly.com/question/11234923
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What is the value of the expression (x – y)2 when x = 5 and y = -1
A. 36
B. 16
C. 4
D. 24
Answer:
36
Step-by-step explanation:
You are given an expression and values to be put into it.
Simply substitute the values in instead of [tex]x[/tex] and [tex]y[/tex].
[tex](x-y)^2[/tex]
When [tex]x=5[/tex] and [tex]y=-1[/tex]:
[tex](5-(-1))^2 = (5+1)^2=(6)^2=36[/tex] - Note: Be careful with negative signs here. Two negatives make a positive.
can someone pls help
z = 13/9?? i don't really know hope i helped
Answer:
B) z = 1 4/9
Step-by-step explanation:
z - 7/9 = 2/3
z - 7/9 = 6/9
z (- 7/9 + 7/9) = 6/9 + 7/9
z = 13/9
z = 1 4/9
2. Which of the following quadrilaterals have 2 pairs
of parallel sides?
O square
O rectangle
O rhombus
O trapezoid
O parallelogram
Answer: all of the above
Step-by-step explanation:
What number is ten less than 658?
Answer:
658-10=648
Step-by-step explanation:
subtract 10 from 658.
Which table of values can be represented by the function y = 3x + 2 ?
Answer:
Graph A.
Step-by-step explanation:
When x is equal to 0, why has to be equal to 2. The slope also has to be 3. To find this out, we do y2-y1/x2-x1. For A, the slope is -7--4/-3--2. This is equal to -3/-1. This is equal to 3. Because y=2 when x=0. option A is correct. For option D, when x=0, y=32. Therefore, this option is not correct. For option B, when x=0, y=2 so this could be correct. Plug it into y2-y1/x2-x1. This is equal to -1-0/-1-2. This is equal to -1/-3. 1/3 is not equal 3 so this option is not correct either. When x=0, y=32 for option C. Therefore, this option is not correct. Therefore, the answer is option A.
If this helps please mark as brainliest
Answer:
A
Step-by-step explanation:
for example
x = -4 and y = -10
y = 3x + 2
-10 = 3 . -4 + 2
-10 = -12 + 2
-10 = -10
#CMIIWMary cut a wire into 7 equal pieces. The wire was originally 7.84 meters long. How long is each piece?
Answer:
Each piece is 1.12 meters long
Step-by-step explanation:
7 equal pieces = divide x by 7
equation: 7.84 / 7
i need some help plz
Answer:
x = 7
Step-by-step explanation:
*set equations = to each other since they're corresponding angles which are equal to each other*
15x - 5 = 13x + 9 --> *subtract 13x from both sides*
2x - 5 = 9 --> *add 5 to both sides*
2x = 14 *divde by 2 on both sides*
x = 7
check:
15 (7) - 5 = 13 (7) + 9
105 - 5 = 91 + 9
100 = 100
About 25% of those called for jury duty will find an excuse to avoid it. If 12 people are called what is the probability that all 12 will be available. (Binomial distribution)
Answer:
Approximately [tex]0.032[/tex] (or, equivalently, [tex]3.2\%[/tex],) assuming that the availabilities of the [tex]12[/tex] jurors are independent from one another.
Step-by-step explanation:
The question states that the probability that a given juror is unavailable is approximately [tex]0.25[/tex].
For the complement of that event, the probability that this particular juror is available would be [tex]1 - 0.25 = 0.75[/tex].
Assume that the availabilities of the [tex]12[/tex] jurors are independent from one another. The number of available jurors would be a binomial variable with [tex]n = 12[/tex] and [tex]p = 0.75[/tex] ([tex]12\![/tex] independent observations, each with a [tex]0.75[/tex] probability of being "available".)
Hence, the probability that all [tex]12[/tex] jurors are available would be:
[tex](0.75)^{12} \times (0.25)^{0} \approx 0.032 = 3.2\%[/tex].
x+y= -7 and -10x+2y=10
Answer:
x = 4
y = 3
Step-by-step explanation:
x = 10 - 2 y
substitute x = 10 - 2y into 2x - y = 5
20- 5y = 5
then
y = 3
and
x = 4
Mark brainliest
Mark packed 1-inch cubes into a box with a volume of 96 cubic inches. How many layers of 1-inch cubes would it take to fill the box?
Answer:
4 approx.
Step-by-step explanation:
The number of layers of 1-inch cubes that Mark packed is determined by assuming that the larger box is also a cube.
let the N be the number of layers of 1-inch cubes that would it take to fill the box.
Since the larger box is also a cube
Therefore, 96 = N^3
N = (96)^(1/3)
N = 4√6
Therefore, there would be 4 layers of the 1-inch cube and some extra incomplete layer
The city is planting new trees in its downtown to make the streets more comfortable for visitors.
They are planting each tree 1212 feet apart.
How many trees can they plant on 22 miles of streets? 52805280 feet = 11 mile.
trees
Answer:
880
Step-by-step explanation:
PLEASE HELP ASAP ILL MAKE BRAINLIEST HURRY
The graph below shows the relationship between the number of tickets sold for a music concert and the amount of money collected from the sale of the tickets. (1 pt.)
Which equation represents the relationship between the tickets sold (t) and the money collected (c)?
A
c=3t
B
c=5t
C
c=10t
D
c=15t
Answer:
D
Step-by-step explanation:
I'm pretty sure its D but correct me if i got it wrong!
Not too hard! Would appreciate help
Answer:
1,3
Step-by-step explanation:
Which expression has the greatest value? root(4, 64 ^ 2); root(3, 8 ^ 4); 16 ^ (1/3); sqrt(16 ^ 2)
Answer: 16 3/2
Step-by-step explanation:
Because the division bass and I did it for the nether and the internet it is not the same as it does it not like the earth or the internet or anything bad
Answer:
Step-by-step explanation:
What they said
A cone has a surface area of 200 pi square inches. If the radius of the
cone is 10 inches, find the length of the slant height.
Answer:
[tex]20\:\mathrm{in}[/tex]
Step-by-step explanation:
The lateral surface area of a cone is given by [tex]A=\pi r\ell[/tex], where [tex]r[/tex] is the radius of the base of the cone and [tex]\ell[/tex] is the cone's slant height.
Solving for [tex]\ell[/tex]:
[tex]200\pi=10\pi\ell,\\\ell=\frac{200\pi}{100\pi}=\boxed{20\:\mathrm{in}}[/tex]
*Note: It is implied that the surface area of 200 pi square inches is lateral surface area and not total surface area, because it is impossible to obtain a total surface area of 200 pi with a radius of 10 inches.
sin C = .9513 find the measure of angle c to the nearest whole degree
Answer:
72º
Step-by-step explanation:
C = arcsin .9513
C = 72.045199929442813
C = 72º
how to do algebraic equations
Answer:
How to do algebraic equations
Step 1: Write Down the Problem. ...
Step 2: PEMDAS. ...
Step 3: Solve the Parenthesis. ...
Step 4: Handle the Exponents/ Square Roots. ...
Step 5: Multiply. ...
Step 6: Divide. ...
Step 7: Add/ Subtract (aka, Combine Like Terms) ...
Step 8: Find X by Division.
Alegraic expressions
1.Here are the basic steps to follow to simplify an algebraic expression:
2.remove parentheses by multiplying factors.
3.use exponent rules to remove parentheses in terms with exponents.
4.combine like terms by adding coefficients.
combine the constants.
Hope u have a nice day :)
find the surface of a square pyramid with a base edge 9 and slant height 6
Answer:
Surface area of a square pyramid = a2 + 2al = 81 + 2 ( 9 ) ( 6) = 189
Step-by-step explanation:
Surface area of a square pyramid = a2 + 2al
where,
a = base length of square pyramid = 9
l = slant height or height of each side face = 6
A coin is tossed a number cube is rolled
P(tails and 3)
Answer:
1/6
Step-by-step explanation:
The coin toss and the cube roll are entirely separate and independent events. To find the joint probability P(tails and 3) we need only find the probabilities of the two events and then multiply them together.
P(tails) = 0.5
P(3) = 1/6, or 0.3333 ....
Desired joint probability = (1/2)(1/3) = 1/6
At 3:00 AM, the temperature was 44 degrees. By 7:00 AM, the temperature had risen to 60 degrees. What was the average change in temperature in degrees per hour?
What is the measure of angle y?
a- 55 degrees
b- 145 degrees
c - 72.5 degrees
d - 35 degrees
Answer:
72.5
Step-by-step explanation:
Angle X is congruent to 35
both angles y and angle x together form a line that equals 180
so for angles y, take 180 - 35 = 145
Angles y is 145/2