Answers
You only have to apply the theorem of Pythagoras here. Remember the square on the hypotenuse (the longest side) is equal to the sum of the squares on the other two sides :
1. AB is the hypotenuse, so, according to the theorem we can write :
AB² = AC² + CB²
c² = 5² + 4²
c²= 25 + 16
c² = 41
applying the square root of 41 we get :
c ≈ 6.40 rounded to the hundred
The next cases are exactly the same thing so there is no need for explanation :
2.
AB is the hypotenuse here because it is the biggest side clearl :
AB² = AC² + CB²
25² = 15² + b²
Thus
b² = 25² - 15²
we just subtracted 15² on each side of the equation
b² = 625 - 225
b² = 400
applying the square root of 400 we get
b = √400 = 20
So AC = 20
3. The longest side is clearly AB = 60
So
AB² = AC² + CB²
60² = 40² + a²
subtracting 40² on each side of the equation we get :
a² = 60² - 40²
I let you finish this using your calculator and doing exactly like the previous cases
4.
AB is the hypotenuse,
AB² = AC² + CB²
23² = b² + 14²
Subtracting 14² from each side of the equation we get
b² = 23² - 14²
5.
AB is the biggest side :
AB² = AC² + CB²
29² = 23² + a²
We subtract 23² on each sides of the equation :
a² = 29² - 23²
You can finish with your calculator
6.
AB² = AC² + BC²
78² = b² + 30²
subtraction...
b² = 78² - 30²
Good luck :)
Related Questions
PLEASE HELPPP RUNNING OUT OF TIMMEE
Two shops sell baked beans in different sized tins. Calculate the price per 1.25 kg for shop B. Give your answer in pence.
Shop A) 1.25kg for £4.85
Shop B) 250g for £0.88
Answers
Step-by-step explanation:
you really need help with that ?
250g = 0.250kg = 0.25kg
comparing 0.25kg with 1.25kg : how many times of 0.25 is 1.25 ?
it is the same as with 25 to 125.
5 times !
so, you need to multiply the price also by 5 to get the price per 1.25kg :
0.88 × 5 = £4.40 = 440 pence per 1.25kg
Tahap risiko unit amanah?
Answers
Step-by-step explanation:
Tahap risiko unit amanah?
ayuda con esto por favor
Answers
[tex] \sqrt[5]{ \frac{3}{8} - \frac{11}{32} } \\ = \sqrt[5]{ \frac{12 - 11}{32} } \\ = \sqrt[5]{ \frac{1}{32} } \\ = \sqrt[5]{ \frac{ {1}^{5} }{ {2}^{5} } } \\ = \sqrt[5]{( \frac{1}{2} {)}^{5} } \\ = \frac{1}{2} [/tex]
[tex] \sqrt[3]{ \frac{1}{4} + \frac{5}{108} } \\ = \sqrt[3]{ \frac{27 + 5}{108} } \\ = \sqrt[3]{ \frac{32}{108} } \\ = \sqrt[3]{ \frac{8}{27} } \\ = \sqrt[3]{ \frac{ {2}^{3} }{ {3}^{3} } } \\ = \sqrt[3]{( \frac{2}{3} {)}^{3} } \\ = \frac{2}{3} [/tex]
[tex](1 - \frac{1}{10} ) ^{3} \\ = ( \frac{10 - 1}{10} ) ^{3} \\ = (\frac{9}{10} {)}^{3} \\ = \frac{ {9}^{3} }{ {10}^{3} } \\ = \frac{729}{1000} [/tex]
Hope it helps.
Do comment if you have any query.
Help !! I don’t understand
Answers
Answer: .8, -.9, -.5, .9 (estimates)
Step-by-step explanation: correlation coefficients are between -1.0 and 1.0.
-1.0 means a perfectly negative correlation, which will be a straight line going down from left to right
0 means no correlation, it's just random points on the graph with no sense of direction or relationship
1.0 means a perfectly positive correlation, which will be a straight line going up from left to right
the more line-like the shape the data points make are, the further away the correlation coefficient is from 0. you can tell if it's negaitive or positive from the direction of the line.
The quotient of k and 9 is greater than 1/3
Answers
i believe this is how it is represented.
Graph the function f(x) = x^2 + 4x-12 on the coordinate plane.
Answers
Answer:
x-intercepts: (-6,0) and (2,0)
y-intercepts: (0,-12)
Minimum value at x = -2
Solve the inequality:
-h + 4 ≤ 6
Answers
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
( h ≥ -2 ).
Answer:
Refer to the attachment
6/7 = x/11 round to nearest tenth
Answers
Answer:
66/7 or 9.429 or 9 [tex]\frac{3}{7}[/tex]
Step-by-step explanation:
6/7=x/11
Multiply by 11 to get x alone
Multiply (6/7) by 11 to get 9.42857143=x
Answer this question
Answers
y is 5% more than 110:
y = 110 x 1.05 = 115.50
x = 5% less than y:
x = 0.95(115.50)
x = 109.725
The kitchen of a house is of size 15ft x 12ft. Find the cost of tiling the wall at all sides 5 ft from the base at the rate of Rs. 120/sq ft.
Answers
Answer:
20400RS
Step-by-step explanation:
Given, Kitchen Size = 15ft * 12ft wall height to be tiled = 5 ft so area of focer walls
= 2* 15+2*5*12
= 150+120=170ft.
Rate is 120/ sq*ft here rate
= 120*170
= 20400RS
Give all solutions in degrees.
2 sin 0 tan 0 - 13 tan 0 = 0
Answers
Answer:
The left side 0 is equal to the right side which means that the given statement is always true.
Step-by-step explanation:
Level: Easy
A football team loses 6 yards on their first play. It gains 8 yards on the next play. Which number line best represents the sum -6+8?
A)
B)
C)
D)
Answers
Enter the value of x that makes the equation 3x + 4 + 2x + 2 = -24
answer? and how would I answer this.
Answers
Answer:
x = -6
Step-by-step explanation:
Combine like terms.
5x + 6 = -24
Subtract 6 from both sides.
5x = -30
Divide by 5 on both sides.
x = -6
Follow Me:-
[tex]3x + 4 + 2x + 2 = - 24 \\ \\ = > 5x + 6 = - 24 \\ \\ = > 5x = - 24 - 6 \\ \\ = > 5x = - 30 \\ \\ = > x = \cancel \frac{ - 30}{5} \\ \\ = > x = - 6[/tex]
Hope This HelpsThe best way to accurately solve real-life problems involving decimals is through/by?
Answers
Answer:
Rounding maybe
Step-by-step explanation:
Having trouble using logarithmic differentiation!
Answers
Answer:
Having trouble using logarithmic differentiation!
4. Solve 6r + 7 = 2r - 9.
r= 4
r=-4
r = 0.5
r = -0.5
Answers
Answer:
r = -4
Step-by-step explanation:
[Given] 6r + 7 = 2r - 9
[Subtract 7 from both sides] 6r = 2r - 16
[Subtract 2x from both sides] 4r = -16
[Divide both sides by 4] r = -4
So our answer is the second option, -4.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Step-by-step explanation:
You answer is -4. I have solved it for you.
Like PLS HELP
The system of equations below form a line and a parabola. Select all possible solutions to this system from the answer choice
x+y=5
x^2+y=11
(-2,7)
(7,2)
(3,2)
(2,3)
(5,0)
Answers
Answer:
2,3 bro bro and also my leg
Sales tax in a certain community is 7%. If the sales tax on a new car was $1,400, what was the selling price of the car
Answers
Answer:
20,000
Step-by-step explanation:
Answer:
%7 1400
100 x
7x=140000
x=20000$
Write an equation in point-slope form of the line that passes through (-3, 2) and (6, - 1)
Answers
Answer:
y - 2 = -1/3 (x + 3)
Step-by-step explanation
Sorry!
Point-slope form )
Slope = (-1 -2)/(6 - (-3)
Slope = -3/9
Slope = -1/3
Using the point-slope formula and point (-3, 2)
y - 2 = -1/3(x - (-3)
y - 2 = -1/3 (x + 3) This is = to y = -1/3(x + 3) +2
Chad collected 256 M&Ms but lost 5/8 of them on his way to
sehool through a hole in his
bag. When he arrived at school how many M&Ms did Chad have left?
Answers
Chad had 96 M&Ms left when he arrived at school.
Chad initially collected 256 M&Ms.
However, he lost 5/8 of them on his way to school through a hole in his bag.
To determine how many M&Ms Chad had left when he arrived at school, we need to calculate the fraction that represents the M&Ms he did not lose.
If Chad lost 5/8 of the M&Ms, it means he kept 1 - 5/8 = 3/8 of them.
To find the number of M&Ms Chad had left, we multiply 3/8 by the total number of M&Ms he initially collected:
(3/8) [tex]\times[/tex] 256 = (3 [tex]\times[/tex] 256) / 8 = 768 / 8 = 96.
Therefore, Chad had 96 M&Ms left when he arrived at school.
In summary, Chad initially collected 256 M&Ms but lost 5/8 of them, leaving him with 3/8 of the total.
Multiplying 3/8 by 256 gives us 96 M&Ms, which is the number of M&Ms Chad had left when he arrived at school.
For similar question on fraction.
https://brainly.com/question/30154928
#SPJ8
Zach goes on holiday. The ratio of the costsflights: hotels = 3 : 8. The cost of the flightsis $861. Workout the total cost of flightsand hotels.
Answers
total cost of the hotels is 2,296
Answer:
hahshdbdndjksosondndndud
The ratio of boys to girls in Mr. Baker’s social studies class is 2 to 3. If there are 30 total students in the class, how many more girls are in the class than boys?
Answers
Answer:
There would be 10 more Girls.
What is 2 1/4 divided by 4 2/3
Answers
Answer: (27/56)
Step-by-step explanation:
(2 1/4)/(4 2/3)
(9/4)/(14/3) [Convert the integers on both sides to leave just fractions.
(9/4)*(3/14) [Invert the denominator and multiply times the numerator]
(27/56)
[tex] \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex] \frac{27}{56} \\ \\ in \: \: alternate \: \: form \\ \\ 0.482142857[/tex]
Step-by-step explanation:
[tex]2 \frac{1}{4} \div 4 \frac{2}{3} [/tex]
convert the mixed number to an improper fraction[tex] \frac{9}{4} \div \frac{14}{3} [/tex]
to divide by a fraction, multiply the reciprocal of that fraction[tex] \frac{9}{4} \times \frac{3}{14} [/tex]
multiply the fraction[tex] = \frac{27}{56} \\ \\ in \: alternate \: \: form \\ \\ 0.482142857[/tex]
hope it helps[tex] \: \: \: \: \: \: \: \: \: [/tex]
Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "not proportional" into the box.
x 2 3 4 5
y 6 9 12 15
Answers
Answer:
The table is proportional.
Step-by-step explanation:
When you multiply x by 3 the answer is y.
2 x 3= 6
3 x 3= 9
4 x 3= 12
5 x 3= 15
Answer:
Whats the badword anwser when its been a year you need to tell us badword
Step-by-step explanation:
If i can get 2 prego pasta sauce for $8 how much would it be for 1 prego pasta?
Answers
Answer: $4
Step-by-step explanation:
If you have 2 Prego pasta sauces at $8 and you only want half of that (1), you divide 8 by 2 to get 4. 1 pasta sauce equals $4
Answer:
$4
Step-by-step explanation:
divide 8 by two
to find the price of one prego pasta divide the cost of your object by the amount of objects
pls help ill give brainliest lolz
Answers
Answer:
t =5
Step-by-step explanation:
-7(2-t)=21
-14+7t=21
7t=35
t=5
Alex got 9 hits in his first 22 at bats. If his hitting rate remains constant, how many at bats would he have to have to reach 50 hits
Answers
Answer:
122.2222 repeating
Step-by-step explanation:
PLEASE ANSWER THIS ASAP THE ONES I GOT WRONG PLEASE TELL ME THE RIGHT ANSWER
Answers
Answer:
for line b - the slope is 0, not undefined. an undefined slope is a vertical line.
for line d - the slope is -1/3. slope is written rise over run, so just count the units that it goes down and how many it goes right. it goes down 1 and right 3, so it is -1/3.
Look at the set of ordered pairs.
{(-8,3), (-6, 2), (-4,1),(-2, 0)}
Which of the following shows the correct
equation for the function represented by the
ordered pairs?
A: y=-0.5x-1
B: y=-2x-1
C: y=-1/4x+1
D: y=-2x-2
Answers
i put in -8,3 in each one only a and c were true
i put in -6, 2 in a and c and only a was true
answer : A
the value of y varies directly with X. Which function represents the relationship between X and Y if y equals 15/6 when x equals 20
Answers
Answer:
y = (1/8)x
Step-by-step explanation:
The relevant basic formula is y = kx, where k is the constant of proportionality.
We must find k. To do this, let y = 15/6 and x = 20 in the above formula:
15/6 = k(20)
We solve for k by dividing both sides by 20: 15/(6*20) = k = 1/8
Then the specific formula for this situation is y = (1/8)x