Step-by-step explanation:
Angles whose sum is 90° .
For ex - 30° and 60°
Answer/Step-by-step explanation:
Complementary angle is two angle that add up to 90 degree.
Complementary angle also put together form a right angle.
ex:
To determine the complement, subtract the given angle from 90. 90 - 43 = 47° The complement of 43° is 47°.
A line passes through the points (1, 4) and (3 -4). Which is the equation of the line?
Answer:
Step-by-step explanation:
(-4 - 4)/(3 - 1)= -8/2= -4
y - 4 = -4(x - 1)
y - 4 = -4x + 4
y = -4x + 8
answer is option 1
Make x the subject of the formula
1/x - 3/a = 5/b
Modeling with Systems how do you do this?
Answer:
The systems model is a process-oriented representation that emphasizes the influences, or flow, of information between modules.
Step-by-step explanation:
A systems model describes how processes interact and what operations these processes perform, but it does not go into details as to how these processes are implemented.
Find the slope of the line that passes through (7,1) and (6,8)
Answer:
-7
y=-7x+50
Step-by-step explanation:
There are
r red marbles and g green marbles in a bag. When one red marble is removed and one green marble added, the ratio of red to green marbles is now 2:3 .
Subsequently, 6 red marbles and 4 green marbles are added, such that the ratio of red to green marbles is now 3:4.
What is the ratio of r to g? Your ratio must be in its simplest form.
The ratio of red marbles to green marbles, [tex]r:g=5:7[/tex]
The first sentence about what happens to the bag of marbles;
"When one red marble is removed and one green marble added, the ratio of red to green marbles is now 2:3"
Leads to the fractional equation
[tex]\frac{r-1}{g+1}=\frac{2}{3}[/tex]
After rearranging, we get equation (1) [tex]3r-2g=5[/tex]
The next sentence about what happens to the bag of marbles;
"Subsequently, 6 red marbles and 4 green marbles are added, such that the ratio of red to green marbles is now 3:4"
Leads to the fractional equation
[tex]\frac{r-1+6}{g+1+4}=\frac{3}{4}\implies \frac{r+5}{g+5}=\frac{3}{4}[/tex]
Since the first change to the bag was done without replacement. After rearranging, we get equation (2) [tex]4r-3g=-5[/tex]
So we need to solve the simultaneous equations for [tex]r[/tex] and [tex]g[/tex]
[tex]3r-2g=5\\4r-3g=-5[/tex]
Which gives [tex]r=25[/tex] and [tex]g=35[/tex]
Therefore, the ratio, [tex]r:g=25:35=5:7[/tex]
Another example of ratio word problems can be found in the link below:
https://brainly.com/question/11343888
According to the Empirical Rule, what percentage of a normal population falls between 1 standard deviations left of the mean and 3 standard deviations right of the mean
Answer:
68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.
Step-by-step explanation:
At the produce store you can buy 5 bags of bananas for $23.15 . How much would it cost if you were to buy 6 bags?
Answer: $26.16
Step-by-step explanation:
23.15 / 5 = 4.63
4.63 x 6 = $26.16
Round 18.527 to the nearest tenth.
Answer:18.53
Step-by-step explanation:
7 rounding up will end up to three
Answer:
18.5
Step-by-step explanation:
3x- 25 = 11x -5 + 2x
Please show working.
[tex]3x-25 =11x -5 +2x \\\\\implies 3x -25 = 13x-5\\\\\implies 13x -3x = 5-25\\\\\implies 10x = -20\\\\\implies x = -2[/tex]
Find the value of h and k.
Answer:
h = 6, k = 6.5
Step-by-step explanation:
The segment marked h is half the length of the one marked 3h-6.
2h = 3h -6
6 = h . . . . . . . add 6-2h
__
The segment marked k is half the length of the one marked 2h+1.
2k = 2(6) +1
k = 13/2 = 6.5 . . . . divide by 2
The values of h and k are 6 and 6.5, respectively.
write an expression 4 and 4 added to double 5
Answer: (4*4) + (2*5)
Solve the equation 6 - 6x = 5x - 9x -2
Answer:
x = 4
Step-by-step explanation:
[tex]6 - 6x = 5x - 9x - 2\\6 - 6x = - 4x - 2\\- 6x -(-4x)=-2-6\\-2x=-8\\x=-8/-2=4[/tex]
10) On a football team, there are 14 offensive players and 16 defensive players. If there are
35 offensive players on the team, how many defensive players would there be?
Answer:
well its 7/8
7 5x 35 so
8 5x 40
40 deffensive players would be there
In a school 2/3 of the students study a language
Of those who study a language, 2/5 study french
Find the ratio of students who study French to students who do not study french. Give your answer in it simplest form.
Answer:
4:6
or 4/15 : 2/5
Step-by-step explanation:
An item on the sale rack at a local supermarket was marked $3.42. The original price
of the item was $4.75.
What was the percent of the discount?
Answer:
The real answer would be 28%
Step-by-step explanation:
It's true!
A polyhedron has 6 faces and 7 vertices, how many edges does it have explain your answer
Indeed it in 5mins hurry plsssss
Answer: 12
Step-by-step explanation:
How to find area of a circle.
Answer:
A rea of a Circle = π × r²
Step-by-step explanation:
The area of a circle formula is A = π × r² where r is the radius.
Remember that the radius might not be given but the radius is half of the diameter.
For π use the calculator value or use 3.14.
7. A value of n is substituted in each expression to get the number
in the box. Find each value of n.
a) 5n
30
b) 3n – 1 11
c) 4n + 7 15
d) 5n
11
e) 4 + on 40
f) 5 +1 5
---
Answer:
a. n=6
b. n = 4
c. n =2
d. n = 11 ÷ 5
e. n = 10
f. 20
Step-by-step explanation:
a. 5n = 30
n=30÷5
n=6
b. 3n-1 = 11
3n= 11 + 1
n = 12 ÷3
n=4
c. 4n + 7 = 15
4n = 15 - 7
n = 8 ÷ 4
n = 2
d. 5n = 11
n = 11 ÷ 5
e. 4 + n = 40
n = 40 - 4
n = 10
f. 5 + 15 = 20
Find the quotient 40,936 4 34.
[tex]40936434. \times 10 {}^{7} [/tex]
Convert 6 fluid ounces into cups.
Answer:
0.75 cups
Step-by-step explanation:
PLS HELP WILL MARK BRAINLIEST!
Answer:
7x - 2y - 4Step-by-step explanation:
If a - b = c then the value of b is a - c:
5x + 2x - 7 - (-2x + 4y - 3) = 5x + 2y - 7 + 2x - 4y + 3 = 7x - 2y - 4linear equations
1. 4= x + 2
2. 6= x-3
3. 7= a + 4
4. 6= x - 7
5. 1= c - 2
6. 5= s + 2
7. x + 3=10
8. c + 4= 4
9. 3= b + 2
10. 6 + c= 10
11. 7= x + 3
12. x + 1= 9
13. x + 3= 15
14. y -6 = 4
15. x - 7 = 4
16. 6= x - 4
17. x - 4 = 2
18. x - 9 = 2
If x = 3, y=-1 is a solution of the equation 3x - 2y = k, then k is :
(a) 12
(b) 10
(c) 7
(d)11
Answer:
11
Step-by-step explanation:
So you replace each letter with it's numerical value.
Note that in arithmetics the sign is critical so observe it.
For this equation, if you solve for k by replacing the known variables with their actual value you get this:
3(3)-2(-1)=k
As stated earlier, the signs are important. When you multiply a negative number with another negative number the sign becomes positive (+).
For this case, -2*-1=+2 and 3*3=9
So, k=2+9
k is therefore 11
y is directly proportional to the square root of ( x-3 ). When x = 28, y = 20. Find y when x = 39.
Answer:
24Step-by-step explanation:
y is directly proportional to the square root of ( x-3):
y = k[tex]\sqrt{x-3}[/tex], where k is the coefficient of proportionalityGiven:
y is 20 when x is 28Find k:
20 = k[tex]\sqrt{28-3}[/tex]20 = k* 5k = 20/5k = 4Find y when x = 39:
y = 4[tex]\sqrt{39-3}[/tex]y =4[tex]\sqrt{36}[/tex]y = 4*6y = 24Answer:
y = 24
Step-by-step explanation:
Given y is directly proportional to [tex]\sqrt{x-3}[/tex] then the equation relating them is
y = k[tex]\sqrt{x-3}[/tex] ← k is the constant of proportion
To find k use the condition when x = 28, y = 20 , then
20 = k × [tex]\sqrt{28-3}[/tex] = k × [tex]\sqrt{25}[/tex] = 5k ( divide both sides by 5 )
4 = k
y = 4 [tex]\sqrt{x-3}[/tex] ← equation of proportion
When x = 39 , then
y = 4 × [tex]\sqrt{39-3}[/tex] = 4 × [tex]\sqrt{36}[/tex] = 4 × 6 = 24
I’ll give 20 points to whoever can answer all of the questions.
This file has it partly done
The triangle below is isosceles. Find the length of side x in simplest radical form with
a rational denominator.
x
4
Answer:
4√2
Step-by-step explanation:
as it is an isosceles 2 sides will have the same side length so 4 and 4, therefore you can use pythagoras theorem to solve for x.
do 4²+4²=32 then square root this √32 which is equal to 4√2
The two sides in the isosceles triangle will be the same thus the value of the third unequal side x will be 4√2.
What is a triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.
In a triangle, the sum of all three angles is 180°
Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.
As per the given isosceles triangle.
The angles opposite to equal sides in the isosceles triangle will be the same.
And, The two sides of the isosceles triangle will be the same.
Both perpendicular sides' length = 4
By Pythagoras theorem,
x = √(4² + 4²)
x = √32 = 4√2
Hence "The two sides in the isosceles triangle will be the same thus the value of the third unequal side x will be 4√2".
For more information about triangles,
https://brainly.com/question/2773823
#SPJ2
greatest from least 2lb., 891 g., 1 kg., 0.02 T.
Step-by-step explanation:
i think the greatest from is 0.02 T
What multiplication tables should every student memorize.
Answer:
1-15
Step-by-step explanation:
You should at least teach students 1-15 or 1-20
Solving inequalities
-4(x - 7) + 8 _> 2x
Answer:
Its 2
Step-by-step explanation:
Cause if you use addition-subtraction property and the division property to solve an equation. Example 3 Solve 4 x + 7 = x - 2.
what is the midpoint of PQ
Answer is (5,7)
Step-by-step explanation:
In the given image, move two points from P to right and move two points left from Q, in such a way that the gap between the two squares of P and Q are equal.
Then from the middle point of the line, mark down to the X-axis where you will get 5. Likewise, from the middle point, mark left to the Y-axis.
Any doubts, please refer the attached image.
So, you will get the answer as (5,7) .