Answer:
∠1 = 73
∠2 = 107
∠4 = 107
Step-by-step explanation:
∠1 and ∠3 are vertical angles
Vertical angles are congruent
Which means that because ∠3 = 73°, ∠1 also equals 73°
∠2 and ∠3 are supplementary angles
supplementary angles add up to equal 180
Thus, ∠2 + ∠3 = 180
If ∠3 = 73° then ∠2 + 73 = 180
180 - 73 = 107
Hence, ∠2 = 107
∠2 and ∠4 are vertical angles
Like stated previously vertical angles are congruent
Which means that because ∠2 = 107°, ∠4 also equals 107°
The graph shown below is a scatter plot:
Which point on the scatter plot is an outlier?
Point H
Point K
Point L
Point M
pls help me- i hate things like this-
Answer:
Percent Fraction Decimal
64 [tex]\frac{16}{25}[/tex] 0.64
12.5 [tex]\frac{1}{8}[/tex] 0.125
140 [tex]1\frac{2}{5}[/tex] 1.4
275 [tex]2\frac{3}{4}[/tex] 2.75
8 [tex]\frac{2}{25}[/tex] 0.08
Find the volume of the rectangular prism
Answer:
Hello! answer: volume = 216
Step-by-step explanation:
Volume for rectangular prisms are found by doing length × width × height so... 6 × 4 × 9 = 216 therefore the volume is 216 hope that helps!
Hiii!! I know for the most part that i should sketch a picture out, but i don’t remember the process may someone help me, would be greatly appreciated !!
Answer:
66
Step-by-step explanation:
Find the last side of the triangle using the Pythagorean theorem.
[tex]c^{2} = a^{2} + b^{2} \\20^{2} = 8^{2} + b^{2}[/tex]
B=[tex]4\sqrt{21}[/tex]
This makes b = 18.3
Now you can find the angle B = arcsin (opp/hyp)
B=arcsin [tex]\frac{4\sqrt{21} }{20}[/tex]
B= 66.42
Answer:
22°
Step-by-step explanation:
Okay, to first find the missing side, you need to use a² +b² = c²
getting 21.54 for the hypotenuse. From there, you're going to divide the leg (8) that's opposite of the angle you're trying to find and divide it by the hypotenuse (21.54). Then on you're caluclator you should have a button that says "Sin-1". You're going to use that and plug in the answer you got from 8/21.54. This'll give you your answer!
what is the answer to this no links
Answer:
6 ÷ 2(1+2)
From
PEMDAS
We deal with Parenthesis first, Then Multiplication before division.
6÷ 2(3)
6÷6
6/6 = 1.
Answer:
1
Step-by-step explanation:
= 6 ÷ 2(3)
= 6 ÷ 2 of 3
= 6 ÷ 6 (∵ Using BODMAS rule)
= 1
1. You have $180 to spend on video games. The inequality 6x + 60y = 180
represents the number x of used video games and the number y of new
video games that you can purchase. Graph the inequality and identify can
you purchase 10 used video games and 3 new video games? Explain.
Answer:
No, that would cost more than $180.
Step-by-step explanation:
6(10)+60(3)≤$180
60+180 = $240
$240≤$180
Hope this helps!
Find the inverse function.
2x + 5
4
[ ? ]x + []
Answer:
The answer is in the picture.
Please answer right no links thank you
Answer:10
Step-by-step explanation: If you see that the vocabulary questions is 20 percent of the total number of questions which is 50, then you multiply 20/100 with 50 which is 1/5 of 50 which is 10 questions. Hope this helps
Please help me I need help so bad I’m failing:/
Answer:
the answer is 25 in typing this to extend to 20 charecters
Susie wants to try out for the football team. She asks her classmates if they think its a good idea. Of the girls, 10 say yes and 4 say no. Of the boys, 8 say yes, and 5 say no. What fraction of the people Susie surveyed are boys? What fraction are boys??
NEED ASAP PLEASE AND THANK YOU
Answer:
13 / 25 were boys
14 / 25 were girls
Step-by-step explanation:
Of the girls 10 said no and 4 said yes
10 + 4 = 14 so she asked a total of 14 girls
Of the boys 8 said yes and 5 said no
8 + 5 = 13 so she asked a total of 13 boys
she asked 14 girls and 13 boys
14 + 13 = 25 so she asked a total of 25 people
Out of the 25 people she asked 13 of them were boys
So 13 out of 25 people we boys
or 13 / 25
which means 14 out of 25 were girls
or 14 / 25
hi! i’m really confused, so if anyone could help me.. that would be nice!
Answer:
I beleave that it is 12 because it look like for every 1 unit to the right it goes up 12.
PLZZZZZZ SOMMMEONEEEE HELLLPPPPPP
Answer:
9765625
Step-by-step explanation:
[tex] {5}^{5} \times {5}^{5} = 9765625[/tex]
Answer:
[tex]{5}^{7} [/tex]
Step-by-step explanation:
[tex] {5}^{5 + 2} [/tex]
=
[tex] {5}^{7} [/tex]
Find the volume of the composite solid. Round your
anwser to the nearest hundredth.
Answer:
226.19 [tex]cm^{3}[/tex]
Step-by-step explanation:
Vol. of cone = Bh/3 where B is the area of the base(circle) and h is the height of the cone.
r = 3 h = 3
V = [tex]\frac{\pi *3^{2}*3 }{3}[/tex] = 9π
Vol. of the cylinder = Bh where B is the base(circle) and h is the height of the cylinder.
r = 3 h = 10 - 3 = 7
V = [tex]\pi *3^{2} * 7[/tex] = 63π
Total volume = 9π + 63π = 72π = 72(3.1416....) = 226.19
Volume is a three-dimensional scalar quantity. The volume of the composite figure will be 226.194cm³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the composite solid is the sum of the slanted cylinder and the cone. Therefore, the volume will be,
Volume = Volume of cone + Volume of slant cylinder
= [(1/3)πr²h] + [πr²H]
= [(1/3)×π×(3)²×3] + [π×(3)²×7]
= 28.274 cm³ + 197.920 cm³
= 226.194 cm³
Hence, the volume of the composite figure will be 226.194cm³.
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Find the sum of the first eight terms of a geometric series is the fourth term of 25 in the constant ratio is 3/5 . Answer your answer as a decimal rounded to two places
25 = a1(1- (0.6)⁴)/(1-0.6)
25 = a1 (1- 0.13)/(0.4)
10 = a1(0.87)
a1 = 11.49
S8 = 11.49(1- (0.6)^8)/(1-0.6)
= 11.49(1-0.017)(1-0.6)
= 11.49(0.983)/0.4
= 28.24
The sum of the first eight terms of the given geometric series is; 28.24
How to find the sum of a geometric series?
We are told that the sum of the first four terms of the geometric series is 25. Thus, formula for sum of n terms of a geometric series is;
Sₙ = a(1 - rⁿ)/(1 - r)
where;
a is first term
r is common ratio
Thus;
25 = a(1 - (0.6)⁴)/(1 - 0.6)
25 = a(1 - 0.13)/(0.4)
10 = 0.87a
a = 11.49
Thus, sum of the first 8 terms of the series is;
S₈ = 11.49(1 - 0.6⁸)/(1 - 0.6)
S₈ = 11.49(1 - 0.017)(1 - 0.6)
S₈ = 28.24
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Help a fellow out please
Answer:
24.27 cm
Step-by-step explanation:
sin 65 degrees = 22/x, so:
1 x
------------------ = ------
sin 65 deg 22
so x = 22 / (sin 65 deg) = 22/0.906 = 24.27 cm
Can someone help me
Answer:
See explanation for answer.
Step-by-step explanation:
I'm not sure if this correct but I think the answer is the second one.
I hope this helps!
Have a lovely day!
plz, help! thanks
a,b,c, or d
Answer:
3rd option
Step-by-step explanation:
Given
[tex]\frac{x^2-10x+21}{x^2+x-12}[/tex] ← factor numerator and denominator
= [tex]\frac{(x-7)(x-3)}{(x+4)(x-3)}[/tex] ← cancel (x - 3) on numerator / denominator
= [tex]\frac{x-7}{x+4}[/tex]
Step-by-step explanation:
c is the correct answer of this question.
HELP!!! QUICK!! PLEASE!! ITS TIMED OMG
Answer:
57.12 cm²
Step-by-step explanation:
area = (9.28 + 5) × 8/2
= 14.28 × 4 = 57.12 cm²
June can paint a room in 5 hours. Kathryn can paint the same room in 3 hours. How long will it take them to paint the room together?
Answer:
5hours - 3hours = 2hours
ASAP
-WILL MARK BRIANIST
Answer:
D and E
Step-by-step explanation:
Dan had $34 to spend at the fair. If the admission to the fair is $10 and the rides cost $1.50 each, what is the greatest number of rides Dan can go on?
Answer:
34-10 for admission= 24. if each ride cost 1.50, you can take 1.50x16 and get 24.00. He can go on 16 rides.
Simplest form
3x^3-5x^2-27x+45
Answer: (3x-5)(x+3)(x-3)
Step-by-step explanation:
The ratio of boys to girls at the Milwood School is 4 to 5. If there are a total of 27
children at the school, how inany boys attend the Milwood School?
Answer: 12 boys attend Millwood School.
Step-by-step explanation:
Yeah. It just makes sense. I am bad at explaining. Sorry!
The ratio shows how many times one value is contained in another value.
The ratio of boys to girls at the Milwood School is 4 to 5.
The number of girls that attended the Milwood school is 15.
The number of boys that attended the Milwood school is 12.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
The ratio of boys to girls at the Milwood School is 4 to 5.
Total number of children = 27
Let the number of boys = 4x
Let the number of girls = 5x
Now,
4x + 5x = 27
9x = 27
x = 3
Now,
The number of boys = 4x = 4 x 3 = 12
The number of girls = 5x = 5 x 3 = 15
Thus,
The number of boys that attended the Milwood school is 12.
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what's the greatest common factor of 8, 44, and 12
Answer:
Step-by-step explanation:
the greatest common factor of 8,44,12 is 4
Find the value of x.
65
7
78°
106°
X=
Given:
Consider the below figure attached with this question.
To find:
The value of x.
Solution:
We know that, the sum of all exterior angles of a quadrilateral is always 360 degrees.
The below figure represents the four exterior angles of the quadrilateral. So,
[tex]65^\circ+106^\circ+78^\circ+x^\circ=360^\circ[/tex]
[tex]249^\circ+x^\circ=360^\circ[/tex]
[tex]x^\circ=360^\circ -249^\circ[/tex]
[tex]x^\circ=111^\circ[/tex]
Therefore, the measure of x is [tex]111^\circ[/tex].
The mean of four numbers is 40. Three of the four numbers are 35, 41, and 41. What
is the fourth number?
Answer:
43
Step-by-step explanation:
Use the mean formula:
mean = (sum of elements) / (number of elements)
Let x represent the fourth number, and solve for x:
mean = (sum of elements) / (number of elements)
40 = (35 + 41 + 41 + x) / 4
40 = (117 + x) / 4
160 = 117 + x
43 = x
So, the fourth number is 43
Answer:
43
Step-by-step explanation:
If the interval (a, oo) describes all values of x for which the graph of f(x) =
4
x2 - 6x +9
is decreasing, what is the value of
a?
Answer:
Answer:
a = - 1.1
Step-by-step explanation:
Condition for a single variable function f(x) to be decreasing is f'(x) < 0.
So, in our case, .
Then, differentiating with respect to x on both sides we get,
⇒
⇒
{Dividing both sides with - 1 and hence the inequality sign changes}
⇒
⇒ 8 > - 6x³ {Multiplying both sides with x³}
⇒ 6x³ > - 8 {Interchanging the sides}
⇒
⇒ x > - 1.1
Therefore, a = - 1.1. (Answer)
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
EDG2021
Solve for xxx. Enter the solutions from least to greatest.
x^2 + x - 30 = 0x
2
+x−30=0
Given:
The quadratic equation is:
[tex]x^2+x-30=0[/tex]
To find:
The solutions of the given equation.
Solution:
We have,
[tex]x^2+x-30=0[/tex]
Splitting the middle term, we get
[tex]x^2+6x-5x-30=0[/tex]
[tex]x(x+6)-5(x+6)=0[/tex]
[tex](x+6)(x-5)=0[/tex]
Using zero product property, we get
[tex]x+6=0[/tex] and [tex]x-5=0[/tex]
[tex]x=-6[/tex] and [tex]x=5[/tex]
Therefore, the solutions of the given quadratic equation are -6 and 5.
Answer if you know
don't copy
[tex]\green{\dfrac{(2^x + 22^x + 222^x)}{(3^x + 33^x + 333^x)} =\dfrac{ 9}{4}}[/tex]
[tex]\bold{\blue{\dfrac{2^{x}+(22)^{x}+(222)^{x}}{3^{x}+(33)^{x}+(333)^{x}}=\dfrac{9}{4}} }[/tex]
[tex]\bold{\pink{\dfrac{2^{x}+(22)^{x}+(222)^{x}}{3^{x}+(33)^{x}+(333)^{x}}=[\dfrac{4}{9}]^{-1} }}[/tex]
[tex]\bold{\green{\dfrac{2^{x}(1+11^{x}+111^{x})}{3^{x}(1+11^{x}+111^{x})}=((\dfrac{2}{3})^{{{2}}})^{{{-1}}} }}[/tex]
[tex]\bold{\orange{\dfrac{2^{x}\cancel{(1+11^{x}+111^{x})}}{3^{x}\cancel{(1+11^{x}+111^{x})}}=(\dfrac{2}{3})^{-2} }}[/tex]
[tex]\bold{\purple{\dfrac{2^{x}}{3^{x}}=(\dfrac{2}{3})^{-2} }}[/tex]
[tex]\bold{\red{(\dfrac{2}{3})^{x} =(\dfrac{2}{3})^{-2} }}[/tex]
[tex]\bold{\green{ x=-2 } }[/tex]
Answer:
Step-by-step explanation:
simplify upper n lower fraction of LHS:
2^x+22^x+222^x
= 2^x*1 + (2*11)^x + (2*111)^x
= 2^x*1 + 2^x*11^x + 2^x*111^x
= 2^x*(1+11^x+111^x)
3^x+33^x+333^x
= 3^x*1 + (3*11)^x + (3*111)^x
= 3^x*1 + 3^x*11^x + 3^x*111^x
= 3^x*(1+11^x+111^x)
so LHS
= 2^x*(1+11^x+111^x) / (3^x*(1+11^x+111^x))
= 2^x / 3^x
= (2/3)^x
RHS = 9/4
= (3^2/ 2^2)
= (3/2)^2
= (2/3)^(-2)
so x = -2
a gift box has the shape of a rectangular prism. how much wrapping paper do you need to cover the box?
Answer:
You will need 411 inches
Step-by-step explanation:
To solve this problem you have to find the surface area.
First, multiply.
7 × 13 = 91
16 × 7 = 112
16 × 13 = 208
Then add.
91 + 112 + 208 = 411
You will need 411 inches of wrapping paper to cover the box.
Have a great day!