Answer:
x = 9
Step-by-step explanation:
The triangle given is an isosceles triangle because it has two equal sides. By implication, the two base angles that are opposite the two equal sides are equal to each other.
Therefore,
80° + 2(m<2) = 180° (sum of triangle theorem)
80 + 2(5x + 5) = 180
80 + 10x + 10 = 180
Add like terms
90 + 10x = 180
90 + 10x - 90 = 180 - 90 (substraction property of equality)
10x = 90
10x/10 = 90/10 (division property of equality)
x = 9
68 - 4 × (6 - 4)4
pls help o-o
Answer:
Here you go!, hope it helped. 68-32x
Answer:
36 is the answer I think :D
Ahmad deposits $3000 into an account that pays simple interest at a rate of 3% per year. How much interest will he be paid in the first 4 years?
Answer:
.......
Step-by-step explanation:
Jahlan, simple interest means that interest is paid every year on the original $4000.
To find 2% of 4000, you multiply 4000(.02) = $80.
Since the interest is the same, 3(80) = $240.
In ΔQRS, the measure of ∠S=90°, SR = 7, QS = 24, and RQ = 25. What is the value of the tangent of ∠Q to the nearest hundredth?
Answer:tanQ=
adjacent
opposite
=
24
7
≈0.2917≈0.29
Step-by-step explanation:
trust me bro
The value of the tangent of ∠Q is 0.96.
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
We have,
∠S=90°, SR = 7, QS = 24, and RQ = 25.
Using Trigonometry
tan Q = P/ B
tan Q= 24/ 25
tan Q = 0.96
Thus, the value of tan Q is 0.96.
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how to find the vat on 14% of 1800
Answer:
[tex]14 \ 100 \1800[/tex]
Which equation is true for the value a=7
A. a+2(a-3)= 15
B. 4a-4(14)-a=24
C. 2a+47=105
D.3a+2(a-3)=34
E. 4a-2a=18
Answer:
The answer is just re look at the question A
Answer
THE ANSWER IS A
Step-by-step explanation:
I need the answer I will mark brainlist pls
Answer:
8 I belive is C and 9 I think is D :)
Find the Area of the shaded region. Round your answer to the nearest tenth.
Answer:
610 m^2
Step-by-step explanation:
Area of the shaded region = area of the outer rectangle - area of the inner rectangle
Area of the outer rectangle
l = 42
b = 25
a = l*b = 42*25 = 1050m^2
Area of the inner rectangle
l = 22
b = 20
a = l*b = 22*20 = 440m^2
Therefore, the area of the shaded region is = 1050 - 440
= 610m^2
Thank You
Hope u understood
Please mark as the brainliest
Need 3 and 4 for those who are up to the task
Answer:
x = 18.4
y = 35º
Step-by-step explanation:
cos∅ = adj/hyp
cos49 = x/28
28cos49 = x
x = 18.4
tany = opp/adj
tany = 19/27
y = arctan19/27
y = 35º
Suppose that you have the option to buy an itern with either cash or credit?Under which condition would you use credit?
A if you don't want to pay interest
B if you want to build a good credit history
C if you like carrying a lot of cash on you
Answer:
Step-by-step explanation:
B. You build credit by using credit cards so b is the answer.
4.
x-10
= 30
12
Solve for x.
Answer:
40-10=30
Step-by-step explanation:
x-10=30
we are going to flip the problem which would make it addition so you would do 10+30=X and we can fill in the blank of x equalling 40 because 10+30 is 40
Answer:
x = 40
Step-by-step explanation:
x - 10 = 30
=> x = 30 + 10
=> x = 40
A basketball player made 135 of the 225
foul shots he took in 4
games.
How many shots will he make in his next game if he attempts 30 foul shots?
135/225=3/5
3/5 times 6 on both sides=18/30
so he will make 18 shots
Solve each equation over the interval [0°, 360°). If a decimal approximation is necessary, round to four decimal places. cos 2x -cos x-2 = 0
Answer:earthy
Step-by-step explanation:vuinh
what is 24.65 cubed?
Answer:
14,977.8946
Step-by-step explanation:
Any help would be greatly appreciated!
Answer:
the answer for that question is sqrt(49)
A class spends 1 hour 15 minutes on
English Language each school day. If
the total time spent in school each day
is 5 hour. What fraction of the time is
spent on English Language
Answer:
1/4
this is fraction of time spent on English language...
Suppose we want to choose 4 colors, without replacement, from 18 distinct colors.
(a) If the order of the choices is relevant, how many ways can this be done?
(b) If the order of the choices is not relevant, how many ways can this be done?
Answers:
(a) 73440(b) 3060=====================================================
Explanation for part (a)
Consider four slots labeled A,B,C,D.
We have
18 choices for slot A17 choices for slot B16 choices for slot C15 choices for slot DWe started at 18 and counted down until we filled the four slots. The countdown is because we cannot repeat a color. Multiply out those values to get the answer: 18*17*16*15 = 73440
You can use the nPr permutation formula as an alternative method
[tex]_nP_r = \frac{n!}{(n-r)!}[/tex]
in this case n = 18 and r = 4. The exclamation marks indicate factorial.
-----------------------------------
Explanation for part (b)
Let's say we had color labels A,B,C,... all the way up to R which is the 18th letter in the English alphabet. From those 18 letters, we can only pick four. Let's say we pick D,E,F,G.
Focusing solely on the set {D,E,F,G}, we only have one set and the order doesn't matter. So {D,E,F,G} is the same as {D,E,G,F}.
There are 4*3*2*1 = 24 ways to arrange those four items meaning that we'll need to divide the result of part (a) by 24 to get the result of part (b)
73440/24 = 3060
You could use the nCr combination formula to get the same result
[tex]_nC_r = \frac{n!}{r!(n-r)!}[/tex]
where n = 18 and r = 4 are the same from last time.
The connection between nPr and nCr is this
[tex]_nC_r = \frac{_nP_r}{r!}[/tex]
which can be rearranged into
[tex]_nP_r = r!*\left( _nC_r \right)[/tex]
these formulas are handy to help us go back and forth between nCr or nPr.
If the order of the choices is relevant, the number of ways of selecting 4 colors out of 18 distinct colors is 73440.
If the order of the choices is not relevant, the number of ways of selecting 4 colors out of 18 distinct colors is 3060.
What are combination and permutation?Combination is a way of selecting items from a collection where the order of arrangement is not relevant.
It is given by:
[tex]^nC_r[/tex] = n! / r! (n-r)!
Permutation is a way of selecting items from a collection where the order of the arrangement is relevant.
It is given as:
[tex]^nP_r[/tex] = n! / (n-r)1
We have,
Number of distinct colors = 18
Number of colors to be chosen = 4
The number of ways the four colors be chosen when the order is not relevant:
= [tex]^{18}C_4[/tex]
= 18! / 4! 14!
= 18 x 17 x 16 x 15 / 4 x 3 x 2
= 3060
The number of ways the four colors be chosen when the order is relevant:
= [tex]^{18}P_4[/tex]
= 18! / 14!
= 18 x 17 x 16 x 15
= 73440
Thus,
If the order of the choices is relevant, the number of ways of selecting 4 colors out of 18 distinct colors is 73440.
If the order of the choices is not relevant, the number of ways of selecting 4 colors out of 18 distinct colors is 3060.
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Use the net to find the lateral area of the prism. 15 m 3 m 6 m 3 m 6 m
Answer:
270 m²
Step-by-step explanation:
LA = (3+6+3+6)×15
= 18×15 = 270 m²
Find the sum of the geometric series if n=6, r= 1/4, a = 2.
Sn = a(1-r^n)/(1-r)
Sn= 8(1-1/4096)/3= 2.67
What are the steps to multiplying a decimal times a decimal?
A local pizza parlor is selling two different shapes of cheese pizza for the same price. You can get two small square pizza that have sides of 7 inches or a large round pizza with a diameter of 12 inches. Which choice gives you more pizza
Answer:
It is a good idea to buy the round pizza, since it has a total of 113.04 square inches of pizza, while the two square slices together bring together 98 square inches.
Step-by-step explanation:
Since a local pizza parlor is selling two different shapes of cheese pizza for the same price, and you can get two small square pizza that have sides of 7 inches or a large round pizza with a diameter of 12 inches, to determine which choice gives you more pizza the following calculations must be carried out, knowing that the area of a square is equal to pi multiplied by the radius squared, and that the area of a square is equal to its side squared:
Round pizza:
Radius = Half the diameter
3.14 x 6 ^ 2 = X
3.14 x 36 = X
113.04 = X
Square pizzas:
(7x7) x 2 = X
49 x 2 = X
98 = X
Therefore, it is a good idea to buy the round pizza, since it has a total of 113.04 square inches of pizza, while the two square slices together bring together 98 square inches.
Please I need it now
A rational number is terminating decimal, if its denominator has
no prime factor other than:
A. 2 and 3 B. 3 and 5 C. 2 and 5 D. 2 and 7
Answer:
it's C. 2 and 5...
Step-by-step explanation:
If the denominator of rational number contains no prime factors other then 2 or 5 or both, then this rational number can be expressed as terminating decimal. So the correct answer is option is C
A circle fits inside a semi-circle with the diameter of 24mm.
Cauculate the shaded area.
Sorry I could not get the image
Answer:
Area of shaded part = 113 mm² (Approx.)
Step-by-step explanation:
Given:
Diameter of Semi-circle = 24 mm
Find:
Area of shaded part
Computation:
Radius of semi-cicrle = Diameter of Semi-circle / 2
Radius of semi-cicrle = 24 / 2
Radius of semi-cicrle = 12 mm
So,
Radius of small circle = 12 / 2
Radius of small circle = 6 mm
Area of shaded part = Area of semi circle - Area of small circle
Area of shaded part = [πR² / 2] - [πr²]
Area of shaded part = [(3.14)(12)² / 2] - [(3.14)(6)²]
Area of shaded part = [(3.14)(144) / 2] - [(3.14)(36)]
Area of shaded part = 226.08 - 113.04
Area of shaded part = 113.04
Area of shaded part = 113 mm² (Approx.)
Find the volume of the box.
3 ft
4 ft
5 ft
The volume of the box is
cubic feet________
Answer:
60 ft³
Step-by-step explanation:
GIVEN :-
Length of cube = 5 ftWidth of cube = 4 ftHeight of cube = 3 ftTO FIND :-
Volume of cubeFACTS TO KNOW BEFORE SOLVING :-
Volume of a cube = Length × Width × Height
SOLUTION :-
In the question , all the dimensions of the cube is given. So,
Volume of the cube = 5 × 4 × 3 = 60 ft³
Based on the calculation, the volume of the box is 60 cubic feet.
How to calculate the volumeTo find the volume of a box, you need to multiply its length, width, and height. In this case, the dimensions of the box are given as:
Length = 3 ft
Width = 4 ft
Height = 5 ft
To calculate the volume, multiply these dimensions together:
Volume = Length × Width × Height
Volume = 3 ft × 4 ft × 5 ft
Volume = 60 cubic ft
Therefore, the volume of the box is 60 cubic feet.
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What needs to be done before you can add or subtract in this equation?
X - 3/4 = 1/2
A)multiply by the reciprocal of 3/4
B)multiply by the reciprocal of 1/2
C)Find the LCD between 1/2 and 3/4
Answer:
A)
Step-by-step explanation:
Right triangles 1, 2,
and 3 are given with all their angle measures and approximate side lengths.
35
8.2
120
10
9.4
10
2
70
55
5.7
3.4
6.4
7.7
3
50
40
10
Answer:
2.2
Step-by-step explanation:
I did it on khan
Right triangles have the measure of one of its angles to be 90 degrees
The ratio WY/WX is 0.36
From the triangle (see attachment), one of the angles of triangle WXY is 70 degrees.
This means that, the triangle is similar to triangle 1.
Similar triangles may or may not have congruent side lengthsSimilar triangles have equivalent ratiosSo, by comparing the side lengths, we have:
[tex]WY = 3.4[/tex]
[tex]WX = 9.4[/tex]
The ratio is then calculated as:
[tex]\frac{WY}{WX}= \frac{3.4}{9.4}[/tex]
[tex]\frac{WY}{WX}= 0.36[/tex]
Hence, the ratio WY/WX is 0.36
Read more about similar triangles at:
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PLEASE ANSWER IMMEDIATELY!!!
Answer:
w
Step-by-step explanation:
The inputs (x) have the different variables in order for it to be a function.
green foods purchases packages of noodles by the carton. each carton contains 36 packages and costs $43.20. green foods sells the noodles for $2.29 per package. what is the markup per carton?
Answer:
91% markup
Step-by-step explanation:
$43.20 divided by 36 is $1.20 per package
if Green Foods is selling one package for $2.29 then they are marking each package up by $1.19
if you take the difference of the per carton prices (82.44-43.20) and divide it by 43.20, you get a 91% markup
Which expression has the same value as the one below? 87 + (-12)
Answer:
75
Step-by-step explanation:
Given data
First term= 87
Second term= -12
Hence,
87 + (-12)
open bracket
+*-= -
= 87 -12
=75
Therefore the equivalent is 75
Factorise as fully as possible:
[tex]8x^{2} -4x[/tex]
Please help me! Got a big test tomorrow and I really want to make sure I have every skill under my belt.
Answer:
[tex]4x(2x−1)[/tex]
Step-by-step explanation:
[tex] {8x}^{2} - 4x[/tex]
[tex]4x(2x) - 4x[/tex]
[tex]4x(2x)+4x(−1)[/tex]
[tex]4x(2x−1)[/tex]
Hope it is helpful....
Solve for y: 3y - x = a