Answer:
45° and 135°
Step-by-step explanation:
A linear pair of angles sum to 180°
let one angle be x , then the other is 3x ( 3 times the other ), thus
x + 3x = 180
4x = 180 ( divide both sides by 4 )
x = 45
Thus the 2 angles are
x = 45° and 3x = 3 × 45° = 135°
The measure of two angles are 135 and 45 degrees if the two angles form a linear pair. The measure of one angle is three times the measure of the other.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
It is given that:
Two angles form a linear pair. The measure of one angle is three times the measure of the other.
As we know,
If two angles form a linear pair it means the angle made by the pair is 180 degrees
Let the two angles are x and y
x + y = 180
x = 3y (one angle is three times the measure of the other)
Solving the two linear equations in two variable:
3y + y = 180
4y = 180
y = 180/4
y = 45 degrees
x = 3(45) = 135 degrees
Thus, the measure of two angles are 135 and 45 degrees if the two angles form a linear pair. The measure of one angle is three times the measure of the other.
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Which is greater than 4? (a) 5, (b) -5, ...
Answer:
(a) 5
Step-by-step explanation:
5 is geater than 4
4 is greater than -5
Kameryn flips a coin, rolls a 6-sided die, and then spins an 8-section
spinner. How many possible outcomes are there?
Answer:
96 possible outcomes
Step-by-step explanation:
2 x 6 x 8 = 96
A. Find x
B. Find the measure of angle b
C. Find the measure of angle c
Answer:
3, 50 and 70
Step-by-step explanation:
Using exterior angle property, we have 15x+5+22x+4=120, 37x+9=120. x=3
B=15x+5=50
C=22x+4=70
NEED IN NEXT HOUR solve the following equation: 20= 4t -5t^2
Answer:
2/5 ±i4/5sqrt(6)= t
Step-by-step explanation:
20= 4t -5t^2
Rewriting
20 = -5t^2 +4t
Divide by -5
20 = -5t^2 +4t
20/-5 = -5/-5t^2 +4/-5t
-4 = t^2 -4/5 t
Complete the square
Take the coefficient of t
-4/5
Divide by 2
-4/10 = -2/5
Square it
(-2/5)^2 = 4/25
Add to each side
-4 +4/25 = t^2 -4/5 t + 4/25
-100/25+4/25 = ( t-2/5)^2
-96/25 = ( t-2/5)^2
Take the square root of each side
sqrt(-96/25) = sqrt(( t-2/5)^2)
±isqrt(96/25)=( t-2/5)
±i4/5sqrt(6)=( t-2/5)
Add 2/5 to each side
2/5 ±i4/5sqrt(6)= t
YOU HAVE A GARDEN HOSE AND A 0.5 LITER CONTAINER AND A 0.3 LITER CONTAINER. YOU NEED TO MEASURE OUT 0.1 LITER OF WATER. HOW DO YOU DO IT
Answer:
Fill up the .3 container and then pour it into the .5
fill up the .3 again and fill up the .5 ... if all is poured in the .5 will overflow over the top.
stop when the .5 is totally full... only .3 will fit... the liquid left in the .3 will be .1
Step-by-step explanation:
(2/7)power 7 divided (2/7)power 5
Answer:
4/49
Step-by-step explanation:
7-5 = 2
2/7*2/7 = 4/49
Answer:
4/49
Step-by-step explanation:
[tex] \frac{ (\frac{2}{7})^{7} }{( \frac{2}{7} )^{5} } = ({ \frac{2}{7} )}^{7 - 5} \\ = ( \frac{2}{7})^{2} \\ = \frac{4}{49} [/tex]
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Answer:
13 mi
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 +12^2 = c^2
25+144 = c^2
169 = c^2
Taking the square root of each side
sqrt(169) = sqrt(c^2)
13 = c
A compression takes place when 0 1.
True
False
Answer:
i think it is true
Step-by-step explanation:
What is the answer for this question
Answer:
option d. is the correct answer
Find the 9th term of the geometric sequence whose common ratio is 23 and whose first term is 3
Answer:
2.35 x 10^11
Step-by-step explanation:
The formula for finding the nth term in a geometric sequence is ar^n-1.
a = 3, r = 23, and n = 9:
3(23)^9-1 = 3(23)^8 = 2.35 x 10^11.
How many pounds is 7 tons
Answer:
14000 pounds :)
Step-by-step explanation:
Answer:
14000 pounds
Step-by-step explanation:
Formula:
multiply the mass value by 2000
When the numbers 0.04, 0.40, 0.043 are arranged in order, which is the middle number?
Pls be quick
Answer:
0.043
Step-by-step explanation:
arranging in ascending order
0.04,0.043,0.40
or they are 0.040,0.043,0.400
so middle term is 0.043
Given :
the numbers are 0.04, 0.40, 0.043
Arrange the given decimal numbers in ascending order
smallest number is 0.04
So the order of given decimal numbers are
0.04, 0.043 , 0.40
From this we can see that the middle number is 0.043
So, the middle number of the numbers 0.04, 0.40, 0.043 is 0.043
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If there are:
6 red marbles
10 yellow marbles
5 green marbles
and 1 blue marble What is the probability of picking 1 blue marble and 1 green marble?
(Once a marble is chosen it is NOT put back into the box).
(Write your answer in the form of a decimal, round to 2 places).
Answer:
total number of marble=22
probability of picking 1 blue marble= 1/22
=45×10^-2
probability of getting a green ball= 5/21
= 238×10^-3
Answer in Detail !!! ✨
Answer:
3300cm²
Step-by-step explanation:
30cm+30cm=60cm 60cm is the lengh of the whole joint structure.We will put it in the equation as "a".
heigh stays the same(10cm) because the pieces are not stacked one on top of the other.They are joined on their sides.We will put it as "c".
Widht also stays the same.its 15 cm and we will put it as letter "b".
So
a=60cm
b=15cm
c=10cm
We need to calculate the surface area of the entire joint structure.
1.First thing to do is to calculate the top part which is:
a*b=15*60=900cm²
2.The bootom side is the same 900cm².
3.The front side is:
a*c=60*10=600cm²
4.The back side is the same as front so it is 600cm².
5.The left side is:
c*b=10*15=150cm²
6.The right side is the same as the left and it is 150cm²
Now we just add it up.
S(surface)=900*2+600*2+150*2=3300cm²
If you want the whole exercise in one equation:
S=2*(a*b)+2*(a*c)+2*(b*c)
Decrease 4,500 by 18%.
Answer:
5,310.
Step-by-step explanation:
Answer:
3690
Step-by-step explanation:
Simplify 18% to 0.18
4500-(4500×0.18)
4500-810
=3690
Solve the triangle. A = 51°, b = 14, c = 6 A. a ≈ 14.9, C ≈ 28.1, B ≈ 100.9 B. a ≈ 11.2, C ≈ 24.1, B ≈ 104.9 C. a ≈ 14.9, C ≈ 24.1, B ≈ 104.9
Answer:
(B) has the closest values.
Step-by-step explanation:
Solve the triangle: A = 51°, b = 14, c = 6
A. a ≈ 14.9, C ≈ 28.1, B ≈ 100.9
B. a ≈ 11.2, C ≈ 24.1, B ≈ 104.9
C. a ≈ 14.9, C ≈ 24.1, B ≈ 104.9
Using the cosine rule,
a^2 = b^2+c^2-2bc (cos(A))
= 196+36 - 2(14)(6)cos(51)
= 196+36 - 105.72
= 126.27
a = sqrt(126.27)
= 11.24
using sine rule,
sin(C)/sin(A) = 6/11.24
sin(C) = 6/11.24*sin(51)= 0.41495
C = arcsin(0.41495 = 24.5 degrees, reasonably close to the given value, probably due to the answer used the rounded value of a.
B = 180-51-24.5 =104.5
Out of the given options, only (B) has the correct value of a and C
what is the range and domian of y=(x-4)
Simplify 7^ -5/6 x 7^-7/6
Answer:
1/49
Step-by-step explanation:
If you add this is the calculator, I think it will come out.
━━━━━━━☆☆━━━━━━━
▹ Answer
1/49
▹ Step-by-Step Explanation
7^-5/6 * 7^-7/6
= 1/7²
= 1/49
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
(8
10-7) - (-6.25 • 10-2)
Answer:
362
(8
10-7) - (-6.25 • 10-2)
identify the terms of each expression 7 + 5 p + 4r + 6 s
term 1 is -3, term five is 5. find the tenth term?
Answer:
t(10) = 15
Step-by-step explanation:
5 - (-3)/ 5 - 1
= 2
t(n) = t1 + (n - 1)(d)
t(10) = -3 + (10 - 1)(2)
t(10) = -3 + (9)(2)
t(10) = -3 + 18
t(10) = 15
7 - 9 + (9 - 5)^2-4x 6/-6+8-3x10? Can y'all help me? I know I just asked but I'm really bad at math!!!!
Answer:
7 - 9 + (9 - 5)^2 - 4 (-6/6) + 8 - 3×10
-4
Solve for d.
4d - 4 = 5d – 8
d =
Answer:
Step-by-step explanation:
-d - 4 = -8
-d = -4
d = 4
Answer:
d= 4
Step-by-step explanation:
4d - 4 = 5d – 8
Subtract 4d from each side
4d-4d - 4 = 5d-4d – 8
-4 = d-8
Add 8 to each side
-4+8 = d-8+8
4 =d
the distance of a point P(x, y) from the origin O(0, 0) is given by OP=__
Answer:-
[tex]\boxed{\sf \sqrt{x^2+y^2}}[/tex]
Explanation:-
P(x,y)O(0,0)We know distance formula
[tex]\boxed{\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]
[tex]\\ \sf\longmapsto OP=\sqrt{(0-x)^2+(0-y)^2}[/tex]
[tex]\\ \sf\longmapsto OP=\sqrt{(-x)^2+(-y)^2}[/tex]
[tex]\\ \sf\longmapsto OP=\sqrt{x^2+y^2}[/tex]
9. What is the area of the given triangle? Round to the nearest tenth. (1 point) A 7 cm 38° B 13 cm C Area = cm2
Answer:
Area = 13.5 cm^2
Step-by-step explanation:
When we know 2 sides and the included angle
the area is =(½)ab sin C
where a and b are the side lengths and C is the angle between them
Area = 1/2 ( 13*7) sin 38
Area = 13.48477
Rounding to the nearest tenth
Area = 13.5 cm^2
u4gent help needed
help me with the question of o.math
Answer:
1≤f(x)≤5
Step-by-step explanation:
-1≤x≤1
-2≤2x≤2 (Multiplied by 2 both side)
-2+3≤2x+3≤2+3 (Adding three both sides)
1≤f(x)≤5
What is the volume of a sphere with a radius of 49.5 in, rounded to the nearest tenth of a cubic inch?
Answer:
Below
Step-by-step explanation:
To find the volume of a sphere you can use this formula!
V = 4/3πr^3
Plugging in the values....
V = 4/3π(49.5)^3
V = 5.08047 × 10^5
V = 5.1 x 10^5 in^3
If you wanted to write this is standard form it would be
V = 508047 in^3
Hope this helps!
If a coin is flipped five times and a head comes up two times, what is the relative frequency of head coming up? A) 0.40 B) 0.20 C) 0.60 D) 0.80
Answer:
A) 0.40
Step-by-step explanation:
5 goes into 100, 20 times. Each coin flip is equal to 0.20, so 2 heads would be 0.40.
Relative frequency of heads coming up is 0.40
Given,
Flipping of coin 5 times .
Here,
The probability of head and tail coming in a single flip of coin is equal .
P(H) = P(T) = 1/2
Thus there are equal number of chances for head and tail .
Here,
Two heads are coming in the flip of five times .
So,
Two heads will be coming up as
0.20 * 2
= 0.40
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Michael is drawing a card from a standard 52-card deck, which includes 4 aces: the ace of clubs, the ace of diamonds, the ace of hearts, and the ace of spades. For each trial, he drews a card, records which cards he drew, and returns it to the deck. He draws an ace 240 times
Michael is drawing a card from a standard 52-card deck, which includes 4 aces: the ace of clubs, the ace of diamonds, the ace of hearts, and the ace of spades. For each trial, he draws a card, records which cards he drew, and returns it to the deck. He draws an ace 240 times
Of the times he draws an ace, which of the following would be a good estimate for the number of times the ace drawn is the ace of hearts?
Answer:
Step-by-step explanation:
From the information:
Let consider the following variables,
assume p to be the number of times an ace was drawn,
also, q should be the number of aces and r to be the number of outcomes.
Thus ;
[tex]\mathtt{r = \dfrac{p}{q}}[/tex]
where;
p = 240
q = 4
[tex]\mathtt{r = \dfrac{240}{4}}[/tex]
r = 60
It is literally unlikely that exactly 25% of the drawings are going to be the ace of hearts, therefore, the best answer will be 60 or the value closest to 60
Given that (8,7) is on the graph of f(x), find the corresponding point for the function f(x)+4
Answer:
( 8,11)
Step-by-step explanation:
When x = 8 the output is 7
The new function
f(x) +4
when x = 8
The output is f(8) +4= 7+4 = 11
( 8,11)
Answer:
[tex]\boxed{(8,11)}[/tex]
Step-by-step explanation:
Given the point (8,7)
This means when x = 8, the output is 7 . So, f(8) = 7
So, the new function will be:
=> f(8) + 4
=> 7 + 4
=> 11
So, the corresponding point for the function f(x)+4 is ( 8, 11 )