Answer:
a. 125
Step-by-step explanation:
the angle labeled "x" is supplementary with the angle that has a measure of 55°
Supplementary angles add up to equal 180°
This means that x + 55 must equal 180
Note that we've just created an equation that we can use to solve for x.
We now solve for x using the equation we just created.
x + 55 = 180
subtract 55 from both sides
x = 125
The answer is a
14. The sun casts a shadow from a flag pole. The height of the flag pole is three times the length of its shadow. The distance between the end of the shadow and the top of the flag pole is 20 feet. Find the height of the flag pole.
How do you divide 35 and 97.3
Answer:
To divide a decimal number by a decimal number, multiply the divisor by as many tens as necessary until we get a whole number, and remember to multiply the dividend by the same number of tens. For example, 13.8 ÷ 0.6 becomes 138 ÷ 6 = 23.
A marketing research company is estimating which of two soft drinks college students prefer. A random sample of n college students produced the following 95% confidence interval for the proportion of college students who prefer drink A: (.262. .622). Identify the point estimate for estimating the true proportion of college students who prefer that drink.
A) .18
B) .622
C) .262
D) .442
===================================================
Explanation:
To get the point estimate, we average the endpoints of the given confidence interval. Add up the endpoints and divide by 2
(low+high)/2 = (0.262+0.622)/2 = 0.442
The value 0.442 is right in the middle of the confidence interval, so it's a natural point estimate for the population proportion.
--------------
Alternative Method:
Subtract the endpoints to find the confidence interval width
width = high - low = 0.622 - 0.262 = 0.36
Cut this in half to get the margin of error (MoE)
MoE = width/2 = 0.36/2 = 0.18
Then we can either add on the MoE to the low endpoint, or subtract it from the high endpoint, to land on the center
center = low + MoE = 0.262 + 0.18 = 0.442center = high - MoE = 0.622 - 0.18 = 0.442This shape is broken up into rectangles. What is the area of the
entire shape?
Answer:
38inch2
Step-by-step explanation:
3inch*2inch+8inch*4inch
=6inch2+32inch2
=38inch2
In ΔMNO, \text{m}\angle M = (6x+1)^{\circ}m∠M=(6x+1) ∘ , \text{m}\angle N = (3x-10)^{\circ}m∠N=(3x−10) ∘ , and \text{m}\angle O = (x+19)^{\circ}m∠O=(x+19) ∘ . Find \text{m}\angle N.m∠N.
Applying the triangle sum theorem, m∠N = 41°
What is the Triangle Sum Theorem?Triangle sum theorem states that the sum of the three interior angles of any triangle equals 180°.
Given the following interior angles of ΔMNO:
m∠M = (6x+1)°
m∠N = (3x-10)°
m∠O = (x+19)°
Find the value of x:
m∠M + m∠N + m∠O = 180°
Substitute6x+1 + 3x-10 + x+19 = 180
Add like terms10x + 10 = 180
10x = 180 - 10
10x = 170
Divide both sides by 10x = 17
m∠N = (3x-10)°
Plug in the value of xm∠N = 3(17) - 10
m∠N = 41°
Learn more about triangle sum theorem on:
https://brainly.com/question/7696843
Opposite rays form a:
O line
O ray
O point
O plane
5
Answer:
ray
Step-by-step explanation:
First to answer correctly will get brainiest.
How to get a number 100 by using four sevens (7’s) and a one (1)?
Answer:
read step-by-step explanation
Step-by-step explanation:
it's a trick question u can't u can get close doing (7+7)×(7+1)-7=105 but it's not 100
Simplify: (ab + bc) (ab - bc)
[tex] \: \: \: \: [/tex]
[tex] = {a}^{2} \: {b}^{2} - {b}^{2} \: {c}^{2} [/tex]
Step-by-step explanation:
[tex](ab + bc)(ab - bc)[/tex]
use ( a + b ) ( a + b ) = a² - b² to simply the product[tex](ab {)}^{2} - (bc {)}^{2} [/tex]
to raise a product to a power ,raise each factor to that power[tex] = {a}^{2} {b}^{2} - {b}^{2} {c}^{2} [/tex]
hope it helpsRyan needs to buy some pencils. Brand A has a pack of pencils for 7.49$ . Brand B has a pack of pencils for 9.97$ .
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent.
Answer:
Unit Price for Brand A: $0.31 per Pencil.
Unit Price for Brand B: $0.35 per Pencil.
Brand A is the better buy.
Step-by-step explanation:
Divide 7.49 by 24 to get 0.312 and round down to 0.31.
Divide 9.97 by 28 to get 0.356 and round down to 0.35 (0.36 is too much making the price $10.08)
Compare 0.31 and 0.35. (0.31 < 0.35)
Hello I need help with this math it’s negative fractions so -7 1/5 - (-2/5)
Answer:
-36/5
- . 2/5-=+2/5
-36/5+2/5
34/5 or 6 4/5
The width of a rectangle is represented by 5 1 2y.
The length is twice as long as the width. What is the
perimeter of the rectangle?
Answer:
33y
Step-by-step explanation:
since the equation of perimeter for a rectangle is lengthX2 + widthX2
and the width is given to be 5 1/2y is it? If it is so then the length will be 11y since 2X5 1/2y is 11y
and the perimeter will then be calculated as so;
11yX2 + 5 1/2yX2
so it will be 22y+11y which will give you 33y
HELP PLEASE FASTTT !! ANYONE??!
Answer: The angled line on graphs!
Step-by-step explanation: :)
AYO y'all can someone help wit this question urgent?
the amount in Maddies back account can be written ad a function of time. What is the equation for maddies bank account?!?
Answer:
I think this is right lol
Step-by-step explanation:
f(x)=49+x
Find the slope of the line that passes through (28, -25) and (27, 25).
Slope is the change in Y over the change in X:
Slope = (25- -25) / (27 - 28)
Slope = 50/-1
Slope = -50
In the gift shop of the History of Flight museum, Elisa bought a kit to make a model of a jet airplane. The actual plane is 27 feet long with a wingspan of 18 feet. If the finished model will be 13.5 inches long, what will the wingspan be?
The length of the wingspan of the finished model based on the dimensions of the kit is 0.75 feet
Given:
Kit
Plane = 27 feet
wingspan = 18 feet
Model:
Plane = 13.5 inches
Wingspan = x feet
convert 13.5 inches to feet
1 feet = 12 inches
13.5 inches = 1.125 feet
So,
equate Ratio of plane to wingspan
27 : 18 = 1.125 : x
27/18 = 1.125 / x
cross product
27 × x = 18 × 1.125
27x = 20.25
x = 20.25/27
x = 0.75 feet
Therefore, the length of the wingspan of the finished model based on the dimensions of the kit is 0.75 feet
Learn more about ratio:
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determine the right and left hand behavior of the graph of the following functions.
[tex]f(x)=6-2x+4x^{2} -5x^{3}[/tex]
Answer:
x → -∞, y → ∞
x → ∞, y → -∞
Step-by-step explanation:
The function is odd degree with a negative leading coefficient. Its shape is generally down to the right (\). The end behavior will be ...
x → -∞, y → ∞
x → ∞, y → -∞
If [tex]a\ \textless \ b[/tex], there are three ordered pairs of positive integers [tex](a,b)[/tex] that satisfy [tex]a^{2}+b^{2}=10(123)^{2}[/tex] If two of these ordered pairs are [tex](39,387)[/tex] and [tex](201,333)[/tex]. What is the third such ordered pair?
The third ordered pair that satisfies the equation of the circle is (123, 369).
The given parameters;
[tex]a^2 + b^2 = 10(123)^2[/tex]First pair of the equation, = (39, 387)Second pair of the equation = (201, 333)The third ordered pair of the equation can be determined by using general equation of a circle;
[tex]a^2 + b^2 = r^2\\\\a^2 + b^2 = (123\sqrt{10} )^2\\\\a^2 + b^2 = (\sqrt{151290} )^2\\\\a^2 + b^2 = 151290\\\\a^2 = 151290- b^2\\\\ a= \sqrt{151290 - b^2}[/tex]
The radius of the circle is calculated as;
[tex]r^2 = 151290\\\\r = \sqrt{151290} \\\\r = 388.96[/tex]
The value of a can be obtained by randomly choosing numbers less than the radius as values of b.
[tex]b < r\\\\b < 388.96[/tex]
[tex]a = \sqrt{151290 \ - \ (387)^2} \\\\a = 39\\\\(39, \ 387)\\\\a = \sqrt{151290 \ - \ (333)^2}\\\\a = 201\\\\(201, \ 333)\\\\a = \sqrt{151290 \ - \ (369)^2}\\\\a = 123\\\\(123, \ 369)[/tex]
Thus, the third ordered pair that satisfies the equation of the circle is (123, 369).
Learn more about equation of circle here: https://brainly.com/question/11711668
Each factory at a candy company has 498 workers. There are 12 factories. )
How many workers are employed at each candy company
Answer:
5,976 workers
Step-by-step explanation:
498 times 12 = 5976
Answer: 41.5
Step-by-step explanation: you have to do 498 divided by 12 and then you will get your answer.
Can someone please help me with both questions I will mark u brilliant
1. We can simply multiply 6.50 by 2!
6.50 x 2 = 13
The book cost $13
2. The easiest way to do this is to convert the fractions into decimals.
1/4 = 0.25
1/5 = 0.2
1/8 = 0.125
Add them together: 0.575!
Subtract this from 1: .425
Multiply by 100: 42.5
42.5% is your answer!
Hope this helps!
Answer: B
Step-by-step explanation:
Help with the answer
Answer:
3 6/7
Step-by-step explanation:
Absolute value is the distance a number is away from 0 on a number line; another way of thinking about absolute value is that it is the positive version of every number. So, the absolute value of -1 is 1, and the absolute value of 88 is 88. We can apply this rule to 3 6/7 - how far is it away from 0 on the number line? What is it as a positive number? Well it is 3 6/7 away from 0 on the number line, and it already is positive, so our final answer will be 3 6/7.
Hopefully that's helpful! :)
[tex]|3\frac{6}{7}|=3\frac{6}{7} =\frac{27}{7}[/tex]
ok done. thank to me :>
find the answer pleasere
Answer:
b is the answer f(e) gives us b
❤️‼️‼️‼️‼️‼️‼️‼️❌❌❣️❣️❣️❣️❣️❣️
Answer: a
Step-by-step explanation:
Answer:
it's A
Step-by-step explanation:
Evaluate (4x + 4)(7x - 3).
Answer:
28x^2+16x-12
Step-by-step explanation:
(4x+4)(7x-3)
28x^2+28x-12x-12
28x^2+16x-12
...................................................................
plz write your proper question
Determine each measure. M
Check the picture below, tis corrected.
btw the picture is rather long, so the thumbnail here may not show all its size, so you may have to open the image in a new tab or window.
The polygons are similar. Find the value of each variable.
[tex]\\ \sf{:}\dashrightarrow \dfrac{4}{x}=\dfrac{6}{9}[/tex]
[tex]\\ \sf{:}\dashrightarrow 6x=36[/tex]
[tex]\\ \sf{:}\dashrightarrow x=6[/tex]
#y
[tex]\\ \sf{:}\dashrightarrow \dfrac{y}{12}=\dfrac{12}{18}[/tex]
[tex]\\ \sf{:}\dashrightarrow \dfrac{y}{12}=\dfrac{2}{3}[/tex]
[tex]\\ \sf{:}\dashrightarrow 3y=24[/tex]
[tex]\\ \sf{:}\dashrightarrow y=8[/tex]
Here we go
4/x=6/94/x=2/32/x=1/3x=6And
y/12=12/1818y=12²18y=144y=8help i want to graduate by january :,)
HELP
find the a,b,c of this table
Answer:
a = b = 1 , c = - 8
Step-by-step explanation:
ax² + bx + c = y
( - 5 )² a - 5b + c = 12
c = - 8
3² a + 3b + c = 4
25a - 5b - 8 = 12 ⇔ 25a - 5b = 20 ⇔ 5a - b = 4 ........ (1)
9a + 3b - 8 = 4 ⇔ 9a + 3b = 12 ⇔ 3a + b = 4 .......... (2)
(1) + (2)
8a = 8 ; a = 1
b = 1
y = x² + x - 8
If Jenny can read 7 books in 8 days, exactly how many days would it take her to read 20 books?
Answer:
17 and a half days OR 18 days
Step-by-step explanation:
7 books : 8 days
20 books: x days
cross multiply
x = (8×20)÷ 7
x = 17.5
therefore
17 and a half days or 18 days
Identify the slope and y-intercept of the line 4x + 2y < 3.
Answer:
Step-by-step explanation:
4x+2y<3
y<-2x + [tex]\frac{3}{2}[/tex]