Answer:
Length of Ladder(Hypotenuse)=18
Height of wall(Opposite) =14
How far from the base... This talks about the adjacent or distance between the wall and the base.
You can get your answer from Pythagoras theorem
Which states
The square of the hypotenuse is = to the squares of the adjacent and Opposite sides
H² = O² + A²
We're looking for the adjacent "A"
Making A the subject
A² = H² - O²
A= √H² - O²
A= √18² - 14²
A=√128
A= 8√2'
Solve this exercise using the fact that the sum of the measures of the three angles of a triangle is 180.
In a triangle, the measures of the three angles are x, x+5, and x-35. What is the measure of each angle?
Answer:
X=70
Step-by-step explanation:
70 + 75 + 35 =180
x + x+5 + x-35
What is the expanded form of this number?
630.052
(6×100)+(3×1)+(5×1/100)+(2×1/1,000)
(6×100)+(3×1)+(5×1/10)+(2×1/100)
(6×100)+(3×10)+(5×1/10)+(2×1/100)
(6×100)+(3×10)+(5×1/100)+(2×1/1,000)
Answer:
Expanded Notation Form:
630.052 =
600
+ 30
+ 0
+ 0.0
+ 0.05
+ 0.002
Expanded Factors Form:
630.052 =
6 × 100
+ 3 × 10
+ 0 × 1
+ 0 × 0.1
+ 5 × 0.01
+ 2 × 0.001
Expanded Exponential Form:
630.052 =
6 × 102
+ 3 × 101
+ 0 × 100
+ 0 × 10-1
+ 5 × 10-2
+ 2 × 10-3
Word Form:
630.052 =
six hundred thirty and fifty-two thousandths
Step-by-step explanation:
Answer:
Expanded Notation Form:
630.052 =
600
+ 30
+ 0
+ 0.0
+ 0.05
+ 0.002
Expanded Factors Form:
630.052 =
6 × 100
+ 3 × 10
+ 0 × 1
+ 0 × 0.1
+ 5 × 0.01
+ 2 × 0.001
Expanded Exponential Form:
630.052 =
6 × 102
+ 3 × 101
+ 0 × 100
+ 0 × 10-1
+ 5 × 10-2
+ 2 × 10-3
Step-by-step explanation:
Trisha packs x boxes with 12 bottles in each box. The total number of bottles she packs is 216. Which equation and solution represent the total number of boxes Trisha packs?
help asap ty :)
Answer:
Number of boxes Trisha pack = 18 boxes
Step-by-step explanation:
Given:
Number of boxes Trisha pack = X
Number of bottles in each box = 12
Total number of bottle = 216
Find:
Number of boxes Trisha pack
Computation:
Total number of bottle = Number of boxes Trisha pack x Number of bottles in each box
216 = X × 12
X = 216 / 12
X = 18
Number of boxes Trisha pack = 18 boxes
Answer:
okkkkkkkkkkkkkkkkkkkkkkkk
Step-by-step explanation:
At the city Museum child admission is $6.40 in adult admission is $9.70 on Sunday 149 tickets were sold for a total sales of $1145 how many adult tickets were sold that day
Answer:
Adult=58
Step-by-step explanation:
c=child, a=adult
6.4c+9.7a=1145 equation 1
c+a=149 equation 2
a=149-c modified equation 2 to isolate a
6.4c+9.7(149-c)=1145 substitute value of a from equation 1 into equation 2
6.4c+1445.3-9.7c=1145
-3.3c=-300.3
c=91
solve for a
c+a=149
91+a=149
a=58
Check answer:
6.4c+9.7a=1145
6.4(91)+9.7(58)=1145
582.40+562.60=1145
1145=1145
pls help and stay tuned bcs their will be more questions bcs i just not that smart
._.
Answer:
I beileve it is Y.
Step-by-step explanation:
The following data describes weekly gross revenue (), television advertising expenditures (), and newspaper advertising expenditures () for Showtime Movie Theaters.
Weekly Gross Revenue ($1000s) Televison Advertising ($1000s) Newspaper Advertising ($1000s)
98 5 1.5
90 2 2
95 4 1.5
92 2.5 2.5
95 3 3.3
94 3.5 2.3
94 2.5 4.2
94 3 2.5
Required:
Find an estimated regression equation relating weekdy gross revenue to television advertising expenditures and newspaper advertising expenditures (to 2 decimals).
Answer:
Hope this helps
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZZZZ
Enter the value of 3.5•(7-4.5).
Answer:
8.75
Step-by-step explanation:
3.5(2.5)
Answer:
8.75
Step-by-step explanation:
3.5(2.5)
The segment below is dilated by a scale factor of 5 to form N'O'. What is the
measure of N'O'?
Answer:
N'O' = 25
Step-by-step explanation:
N'O' = 5 × NO = 5 × 5 = 25
Q: using the Substitution Method, and the value ory in
Using the Substitution Method, find the value of y in
the below system of equations?
-2y = 44 – 4
7x = -4y + 10
Answer:
Step-by-step explanation:
To properly apply the substitution method, it will be better for us to rearrange the system of equations to have similar variables on the same side
[tex]44 - 4 = -2y ----equation 1[/tex]
[tex]10 = 7x + 4y --- equation 2[/tex]
We can simply evaluate equation 1 to have
[tex]40 = -2y\\y = 40/-2 = -20\\[/tex]
y = -20
From the first equation alone, we can evaluate the value of y as -20. This is because only one unknown is present in equation one, hence a single equation is sufficient enough to evaluate it. If to unknowns were present, the two equations would have been utilized to evaluate the solution.
Perform the indicated operation. -6 + 6
Answer:
0
Step-by-step explanation:
It is zero, since -6+6 is bassicly 6-6 which is 0
What is the first step in evaluating the expression below?
12 + 6 - 4 X (12-5)
Add 12 + 6
O Multiply 4 x 12
Subtract 5 from 12
O Multiply 4x7
what property is occurring in the following example? 11.5 + (- 11.5) = 0
A- Commutative
B- Associative
C- Addictive Inverse
D- Distributive Property
PLEASE I NEED ANSWERS!!
Answer: A property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.
Step-by-step explanation:
A property where sum of any number and its inverse is equal to zero is called additive inverse property.
For example, 11.5 + (-11.5) = 0
Here, 11.5 is the number and its inverse is (-11.5). The sum of both these is equal to zero. Hence, it shows a property of additive inverse.
Thus, we can conclude that property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.
A rectangular block of wood measures 5 inches wide. Over time, the width of the block of wood will shrink by 5%. A builder lets the block of wood shrink. He wants to use it to fill a gap that measures 3.5 inches wide.
How much does the builder need to cut off the wood block so that it will fit exactly in the gap? Enter the answer in the box.
The bulder needs to cut
? Inches off the block of wood.
Answer:
1.25 inches
Step-by-step explanation:
5 - 5% is 4.75
4.75 - 3.5 is 1.25
Write an inequality for the graph
Suppose that documentation lists the average sales price of a single-family home in the metropolitan Dallas/Ft. Worth/Irving, Texas, area as $213,200. The average home price in Orlando, Florida, is listed as $198,000. The mean of a random sample of 43 homes in the Texas metroplex was $217,800 with a population standard deviation of $30,300. In the Orlando, Florida, area a sample of 35 homes had a mean price of $204,700 with a population standard deviation of $33,800. At the 0.05 level of significance, can it be concluded that the mean price in Dallas exceeds the mean price in Orlando
Answer:
"0.0373" seems to be the appropriate solution.
Step-by-step explanation:
The given values are:
n₁ = 43
n₂ = 35
[tex]\bar{x_1}=217800[/tex]
[tex]\bar{x_2}=204700[/tex]
[tex]\sigma_1=30300[/tex]
[tex]\sigma_2=33800[/tex]
Now,
The test statistic will be:
⇒ [tex]Z=\frac{\bar{x_1}-\bar{x_2}}\sqrt{\frac{\sigma_1^2}{n_1} +\frac{\sigma_2^2}{n_2} }[/tex]
On substituting the given values in the above formula, we get
⇒ [tex]=\frac{217800-204400}{\sqrt{\frac{(30300)^2}{43} +\frac{(33800)^2}{35} } }[/tex]
⇒ [tex]=\frac{217800-204400}{\sqrt{\frac{918090000}{43} +\frac{1142440000}{35} } }[/tex]
⇒ [tex]=\frac{13400}{7347.93}[/tex]
⇒ [tex]=1.7828[/tex]
then,
P-value will be:
= [tex]P(Z>1.7828)[/tex]
= [tex]0.0373[/tex]
!!!!!!Please help ASAP!!!!!
AB and BC form a right angle at their point of intersection, B. If the coordinates of A and Bare (14, -1) and (2, 1), respectively, the y-intercept of AB is 4/3 and the equation of BC is y= 6 X + If the y-coordinate of point Cis 13, its x-coordinate is
Answer:
Step-by-step explanation:
Segments AB and BC intersect each other at 90° at B.
Let the equation of the segment AB → y = mx + b
Here, m = Slope of the line
b = y-intercept
Slope of the line AB passing through A(14, -1) and B(2, 1)
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{1+1}{2-14}[/tex]
= [tex]-\frac{2}{12}[/tex]
= [tex]-\frac{1}{6}[/tex]
Equation of the line will be,
[tex]y=-\frac{1}{6}(x)+b[/tex]
Since, AB passes through (2, 1)
[tex]1=-\frac{1}{6}(2)+b[/tex]
[tex]b=1+\frac{1}{3}[/tex]
[tex]b=\frac{4}{3}[/tex]
Therefore, y-intercept of AB = [tex]\frac{4}{3}[/tex]
Equation of AB → [tex]y=-\frac{1}{6}(x)+\frac{4}{3}[/tex]
Since, line BC is perpendicular to AB,
By the property of perpendicular lines,
[tex]m_1\times m_2=-1[/tex]
Here, [tex]m_1[/tex] and [tex]m_2[/tex] are the slopes of line AB and BC respectively.
By this property,
[tex]-\frac{1}{6}\times m_2=-1[/tex]
[tex]m_2=6[/tex]
Equation of a line passing through a point (h, k) and slope 'm' is,
(y - k) = m(x - h)
Therefore, equation of line BC passing through B(2, 1) and slope = 6,
y - 1 = 6(x - 2)
y = 6x - 11
Since, line BC passes through C(x, 13),
13 = 6x - 11
6x = 24
x = 4
Therefore, x-coordinate of point C will be, x = 4
Factorise a^2-b^2 but it has no indecies
Answer:
(a+b)(a-b)
Step-by-step explanation:
14. The measure of Fis 110. The measure of 2E is 100°
What is the measure of D?
150°
According to given angles ,
Angle C=180- angle F (Linear pairs or st.line )
=70
Angle B = 180 - angle B (Same as above)
=80
Now
Angle D =Angle C + Angle B (Exterior angle property of a triangle)
=150°
Enjoy
I am a line that intersects a circle at 2 points WHAT AM I?
Estimate the payment on a 2019 Honda Civic that is selling for $24,599. You will be leasing the vehicle for 3 years. The estimated resale value of the Honda after 3 years will be $13,750 and the sales tax and fees are estimated at 10%. You will need a 20% down payment and you will be financing the balance for 3 years at 2.8%.
Answer:
Step-by-step explanation:
Fred has a jug that contains
750 milliliters of milk. How many
liters of milk are in the jug?
Answer:
.75 liters
Step-by-step explanation:
add a decimal point at the end of 750 and move it 3 places to the left because mili is one thousandth of a liter
A billing company that collects bills for doctors' offices in the area is concerned that the percentage of bills being paid by medical insurance has risen. Historically, that percentage has been 31%. An examination of 8,606 recent, randomly selected bills reveals that 32% of these bills are being paid by medical insurance. Is there evidence of a change in the percent of bills being paid by medical insurance
Answer:
Following are the responses to the given question:
Step-by-step explanation:
[tex]H_o : p =0.31\\\\H_a: p \neq 0.31\\\\n = 8606 \\\\ p^ = 0.32[/tex]
[tex]TS = \frac{(p^ - p)}{\sqrt{(\frac{pq}{n})}}[/tex]
[tex]= \frac{(0.32-0.31)}{\sqrt{(\frac{0.31\times 0.69}{8368})}}\\\\=\frac{0.01}{5.4}\\\\=0.00185\\\\[/tex]
Before shipment, an inspector found that 7 of the boxes were defective and could not be shipped. At least 200 boxes were approved for shipment. Write and solve an inequality to find the amount of time Machine A spent packing the boxes that were approved for shipment.
Identify the constant term in the expression:
2x + y + 3z + 5
Answer: 5
Step-by-step explanation:
Constants are numbers without a variable
Answer:
5 is constant term
Step-by-step explanation:
A constant term is a term in an algebraic expression that has a value that is constant or cannot change. It does not contain any modifiable variables. Hope it is helpful....2 5/6 times 8 as a mixed number.
Answer:
lets make it an improper fraction:
17/6 x 8/1(consider 8 over 1) = 22 2/3
Simplify first though
17 x 8 divide by 2 = 4
_____
6 divide by 2 = 3 (8 and 6 are divisible by 2)
Your new simplified multiplication:
17 x 4
_____ then you can do your multiplication across.
3
Solve for x. 3(x+2)=2(2-x)
Answer: -2/5
1. Multiply out like using distributive property
3x+6 = 4-2x
2. Now just simplify
5x+6=4
5x=-2
x=-2/5
Answer:
Heyaa!!! Im Pinky! Im here to inform you that your answer is....
Step-by-step explanation:
1st. We need to Distribute:
3(+2)=2(2−)
3+6=2(2−)
Just like That!
2nd. We have to Rearrange terms:
3+6=2(2−)
3+6=2(−+2)
3rd. Distribute One Last Time:
3+6=2(−+2)
3+6= −2+4
4th. Simplify:
3=−2−2
5th. Add 2 to both sides of the equation:
3=−2−2
3+2=−2−2+2
6th. Simplify:
5=−2
7th. Divide both sides of the equation by the same term:
5=−2
5/5 = -2/5
8th. Solve:
x = -2/5
Have an Amazing day!!
~Pinky~
Somebody know the answer?
Find the area in square inches. <3
HELP ME PLEASE, I can't figure out this puzzle :(
Work out the mean for the data set below: 5, 6 Give your answer as a decimal.
Answer:
5.5
Step-by-step explanation:
5 + 6 =
11 / 2 =
5.5