Answers
Answer:
Area of ΔABC = 10 square units
Step-by-step explanation:
Distance between the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is represented by,
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Length of AB = [tex]\sqrt{(-4-2)^2+(-6+8)^2}[/tex]
= [tex]\sqrt{36+4}[/tex]
= [tex]2\sqrt{10}[/tex]
Length of CD = [tex]\sqrt{(-6+7)^2+(-2+5)^2}[/tex]
= [tex]\sqrt{1+9}[/tex]
= [tex]\sqrt{10}[/tex]
Area of a triangle ABC will be represented by the formula,
Area = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(AB)(CD)[/tex]
= [tex]\frac{1}{2}(2\sqrt{10})(\sqrt{10})[/tex]
= 10 square units
Answer:
10 square units
Step-by-step explanation:
Related Questions
if |a+3|=4 which describes all possible values of a)
Answers
Answer:
1 and -1
Step-by-step explanation:
The absolute value means that the answer will always come out as positive, meaning that both 1 and -1 fit in this equation.
Answer:
-7 and 1.
Step-by-step explanation:
either a + 3 = 4 or a + 3 = -4
So a = 1 and a = -7.
Each morning Soriano buys coffee and donut holes for his employees and clients. The following system represents the amount of coffee and donut holes bought this morning and the amount of money that he spent (in dollars). In the system, represents the number of cups of coffee that he bought and the number of cups of donut holes that he bought.
c+d=60
2.5+1.75=123.75
Part A: How many cups of coffee and donut holes did Soriano buy this morning?
Part B: How much does each cup of coffee cost?
Part C: How much does each cup of donut holes cost?
Part D: How much did Soriano spend in coffee and donut holes?
Part E: Use the elimination method to solve the system and determine the number of cups of coffee and donut holes that Soriano bought this morning.
Answers
Answer:
Part A: 60
Part B: Each cup of coffee costs 2.5 dollars
Part C: Each donut costs 1.75 dollars
Part D: Sonario spent 123.75 dollars in coffee and donut holes
Part E: The number of cups of coffee bought are 25 cups of coffee
The number of donut holes bought are 35 donut holes
Step-by-step explanation:
The given parameters are;
c + d = 60
2.5 × c + 1.75 × d = 123.75
Part A
Whereby the number of cups of coffee bought = c, and the number of donut holes bought = d, then, the total number of cups of coffee and donuts bought is c + d = 60
Part B:
From the second equation for the total cost of cups of coffee and holes of donuts, the coefficient multiplying the variable representing an item is the cost of the item
Therefore, each cup of coffee costs 2.5 dollars
Part C:
Using the method from above, each donut costs 1.75 dollars
Part D:
From the equation for the total cost, Sonario spent 123.75 dollars in coffee and donut holes
Part E:
By the elimination method, we have;
c + d = 60
∴ c = 60 - d
Eliminating c in the equation for the total cost gives;
2.5 × c + 1.75 × d = 2.5 × (60 - d) + 1.75 × d = 123.75
150 - 2.5·d + 1.75·d = 150 - 0.75·d = 123.75
150 - 123.75 = 0.75·d
26.25 = 0.75·d
d = 26.25/0.78 = 35
d = 35
c = 60 - d = 60 - 35 = 25
c = 25
∴ c = The number of cups of coffee bought = 25 cups of coffee
d = The number of donut holes bought = 35 donut holes
which number line represents 3-5?
Answers
Answer:
?
please rewrite the question cause it seems unclear!
Sarah purchased $28.75 worth of coffee that sold for $11.50 per pound. How
many pounds of coffee did Sarah buy?
Answers
Answer:
She bought 2.5 pounds
Answer:
2.5 lb
Step-by-step explanation:
If Sarah has not made any loss or profit then amount of coffee = total cost/cost per pound 28.75/11.5= 2.5
What number is 38% of 60
Answers
Answer:
63.333333333333 you could put 63.3
Step-by-step explanation:
How much is 38 out of 60 written as a percent value? Convert fraction (ratio) 38 / 60 Answer: 63.333333333333%
Answer:
38% of 60 is 22.8. that's the correct answer
Sum of twice a number and 15 is greater than 3
Answers
2x+15= sum of twice a number and 15
=3 = Greater than 3
The number with the algebraic sum of its double and 15 is greater than 3 is described by; x > -6
From the question given;
The Sum of twice a number and 15 is greater than 3.In essence;
Let the number in discuss be; x so the we have;2x + 15 > 3By solving;
2x > 3 -152x > -12x > -6.Read more on inequalities;
https://brainly.com/question/14361489
what is 3(x+2)-5x simplified
Answers
Answer:
6-2x
Step-by-step explanation:
=3x+6-5x
=6-2x
Answer:
-2x + 6
Step-by-step explanation:
3(x+2)-5x =
3x + 6 - 5x =
-2x + 6
Let cot(x) = StartFraction 5 Over 8 EndFraction, with 0 < x < 90°. What is sin(x)?
StartFraction 5 Over StartRoot 89 EndRoot EndFraction
StartFraction 8 Over StartRoot 89 EndRoot EndFraction
StartFraction StartRoot 89 EndRoot Over 8 EndFraction
StartFraction StartRoot 89 EndRoot Over 5 EndFraction
Answers
Answer:
B. 8/square root of 89
Step-by-step explanation:
got it right on edge :)
Value of sin(x) = 8 / √89, 0 < x < 90.
What are trigonometric functions?Trigonometric functions can be simply defined as the functions of an angle of a triangle where 0 < x < 90°.
Formula used
In right angled triangle ABC , ∠B = 90° , ∠C = x°
cot (x )= ( Base ) / ( perpendicular)
sin ( x) = ( perpendicular ) / ( Hypotenuse )
Pythagoras theorem
(Hypotenuse)² = (Base)² + (perpendicular)²
(AC)² = (AB)² + (BC)²
Given that
cot (x) =5 / 8 , 0< x< 90
Therefore, by comparing the given values of trigonometric function with the formula ,
Base = 5
perpendicular = 8
Substitute the value in the Pythagoras theorem,
(Hypotenuse)² = 5² + 8²
⇒ (Hypotenuse)² = 25 + 64
⇒ Hypotenuse = √89
Therefore,
sin(x) = 8 / √89
Hence Value of sin(x) = 8 / √89, 0 < x < 90
To learn about trigonometric function: https://brainly.com/question/26719838
#SPJ2
what is the likelihood of throwing a 4 with a single throw of adie
Answers
Answer:
1/6.
Step-by-step explanation:
As there are 6 sides to a die than answer is 1/6.
Explanation: There are 6 sides to die and there’s only one 4 on the die. So that makes 1/6 times u would roll a 4.
SOMEONE PLLLLZZZ HELP MMEEE!!!III BBEEGGGGG UUU!!!!
Answers
Answer:
y = x + 2
Step-by-step explanation:
Used slope formula to get a slope of 1
Line crosses y axis at (0,2)
I think. I was just doing this an hour ago. But you are first meant to find the gradient. Then you create the equation.
Read my notes
If f(x) = 5x - 75, find f(-2).
Answers
Answer:
-85
Step-by-step explanation:
i need help.pleaaseeeeeeeeeeIM BEGGING
Answers
Pls mark me brainliest
I need help on these questions who ever answers this question will be the brainliest!!
Answers
A=78
C=78°
The Opposite angles are equal which means B is equal to 102° and lines on a straight line equals 180 so 180-102=78
Solve m +1.4 = 0.6.
What does m equal?
Answers
Answer:
m=0.8
Step-by-step explanation:
Answer:
0.8
Step-by-step explanation:
1.4-0.6=m
What value should go in the empty boxes to complete the calculation for finding the product of 0.59 × 0.37? Both numbers are the same; however, only input the number one time in your answer. 0.59 times 0.37 gives two unknown partial products. The first product is 413. The second product is 1 thousands, an unknown value in the hundreds place, an unknown value in the tens, and 0 ones. These products are being added. Numerical Answers Expected! Answer for Blank 1:
Answers
Answer:
1 7 _7 0
Step-by-step explanation:
From this Given information:
We are to find the product of:
0.59
× 0.37
However, the first product is given as 413;
Also, the second product is 1 thousand, an unknown value in the hundreds place, an unknown value in the tens, and 0 ones.
Mathematically; i.e. 1 __ __ 0
i.e.
0.59
× 0.37
4 1 3
+ 1 __ __ 0
So, to work out the unknown; we look for the multiplication of:
0.59
× 0.37
This is calculated as:
0.59
× 0.37
4 1 3
1 7 7
0 0 0
1 1 8 3
Thus:
1183 - 413 = 770
i.e
the unknown value in the hundreds place is highlighted in bold format = 700
the unknown value in the tens place is highlighted in bold format = 70
e. How many feet are there in 14.0 yards? (3 ft = 1 yd)
Answers
Answer:
42
Step-by-step explanation:
i smart
Answer:
Step-by-step explanation:
1 yard = 3 ft
To find 14 yards, just multiply 14 by 3
14 yards = 14 x 3 = 42 ft
HELP IS GREATLY APPRECIATED:)
Pia registered for an account on the website of a national magazine. The magazine charges $5 as a
setup fee and $17 per month for access to the website. What is the initial value of the function that
represents Pia's cost for access to the magazine's website over time?
A.) 0
B.) 5
C.) 17
D.) 22
Answers
Answer:
d.)22
(I'm pretty sure it's d but if not it's c)
Terrence drove to his sister's house, a distance of d miles. For the first 150 miles, he was able to drive relatively quickly, at 60 miles per hour. For the remaining distance, the road was rougher, and he had to slow his speed by 20 miles per hour. For each part of the journey, he was able to keep a steady speed. The time he spent driving at the faster speed was twice the time he spent driving at the slower speed.
Answers
Answer:
The total distance he drove is 350 miles, with an average speed of 46.67 miles/hour.
Step-by-step explanation:
Let [tex]t_1[/tex] and [tex]t_2[/tex] be the time of driving at a slower rate and at a faster rate respectively.
Given that the total distance = d
The speed for the first 150 miles = 60 miles/hour.
So, [tex]150=60\times t_1[/tex] [ as distance = speed x time]
[tex]\Rightarrow t_1=2.5[/tex] hours.
The remaining distance [tex]= d-150[/tex] miles.
Speed for the remaining distance = 60 miles/hour.
As the time he spent driving at the faster speed was twice the time he spent driving at the slower speed,
So, the time of driving at a faster rate, [tex]t_2 = 2t_1=2\times2.5=5[/tex] hours
So, [tex]d-150=60\times t_2[/tex] [ as distance = speed x time]
[tex]\Rightarrow d-150=20\times 5=100[/tex]
[tex]\Rightarrow d = 100+150=350[/tex] miles.
The average speed of the journey = (Total distance)/(Total time taken )
[tex]=d/(t_1+t_2)[/tex]
=350/(2.5+5)
=350/7.5
=46.67 miles/hour.
Hence, the total distance he drove is 350 miles, with an average speed of 46.67 miles/hour.
Evaluate 1/3 x 5/6.
A. 1/15
B. 6/15
C. 5/18
D. 3/30
Answers
Answer:
C
Step-by-step explanation:
1x5=5
3x6=18
and you can't simplify 5/18.
Answer:
5/18
Step-by-step explanation:
1 times 5 equals 5. 3 times 6 equals 18.
What is the domain of the radical function shown on the graph?
Answers
The domain is the set of all possible x inputs. The blue curve stretches on forever in both directions along the x axis. This means that we can plug in any x value we want, and get some y output. We don't have to worry about dividing by zero, or applying the square root of a negative number, so there are no restrictions on the domain. We can take the cube root of a negative number with no issues. For example, the cube root of -8 is -2.
A player at second base throws a ball to the catcher at home plate, but the catcher misses it. Which of the following best represents this situation?
A. ray SP
B. point S
C. segment SH
D. plane SPH
Answers
Answer:
d
Step-by-step explanation:
Which polygon has two or more right angles?
Answers
Answer:
c
Step-by-step explanation:
What is the slope of a line parallel to y = -5x + 2?
Answers
Answer:
-5
Step-by-step explanation:
Parallel lines have the same slope, so it would just be -5
56 equals 128 reduced by z
Write the sentence as an equation.
Answers
Answer:
56 = 128-z
Step-by-step explanation:
Answer:
128-z=58
z=70
Step-by-step explanation:
Plz help!
The Gazelle football team made 5 plays in a row where they gained
3 yards on each play. Then they had 2 plays in a row where they lost 12 yards on each play. What is the total change in their position from where they started?
Answers
Answer:
3
Step-by-step explanation:
because 3 times 5 is 15 - 12 is 3
А
Question 5
Dwight owns 1600 acres of farmland. He wants to split the PLEASE HELP TIMED TEST !!
land into fourths and sell off each of the parcele, which expression shows the amount of acres that each parcel will contain? Select ALL that apply
1600 =
1600-4
1600
B
С
D
16.4
E
1600-
1600+
F
Answers
Answer:
Options (B) and (C)
Step-by-step explanation:
Farmland owned by Dwight = 1600 acres
He wants to divide his farmland into four equal parts.
So the area of each part of the land will be = [tex]\frac{\text{Area of the farmland}}{\text{Number of parts of the farmland}}[/tex] = [tex]\frac{1600}{4}[/tex]
This expression can be written in different ways,
[tex]\frac{1600}{4}=[/tex] 1600 ÷ 4
[tex]=1600\times \frac{1}{4}[/tex]
Therefore, Options (B) and (C) will be the correct options.
suppose you want to buy software for your computer. One piece of software costs $20.75. Another costs $10.59 and a third costs $18.25.
Use mental math to find the total cost. Explain.
How much more is the first piece of software than the second? Use mental math to decide.
Answers
Answer:
The total cost is 49.59 the answer for the second question is 10.16
Step-by-step explanation:
Part A. self explanatory, i just added all of the pieces together and got 49.59.
Part B. I just solved the expression 20.75 - 10.59 and got 10.16.
a ferris wheel can accommodate 40 people in 25 minutes, how many people can people ride the ferris wheel in 5 hours? What's the rate per hour?
Answers
Answer:
480 in 5hrs
Rate is 96 per hour
Step-by-step explanation:
In 5 hours there are 300 minutes (5x60) and 300min/25min = 12. So 25 mins pass 12 times in 5 hours. Since each 25 mins its 40 ppl then 12x40 = 480.
480 in 5 hours so 480/5= 96 per hour
Ron is saving money for college. Each month he deposits 10% of his net income plus
an additional $50 into a savings account. His net income, after taxes have been taken
out, is 80% of his gross income. Find the amount that Ron saves a month when his
gross income is $2400.
Answers
Answer:
$242
Step-by-step explanation:
His Gross income a month is $2400.
Now, we are told that his net income, after taxes have been taken out, is 80% of his gross income.
Thus;
Net income a month = 80% × 2400 = $1920
Now, Each month he deposits 10% of his net income plus an additional $50 into a savings account.
This means amount saved each month is = (10% × 1920) + 50 = 192 + 50 = $242
Rashan says that –6 ÷ 2 = -3. Which multiplication expression can he use to check his answer?
a) 2(3)
b) –3(2)
c) 6(2)
d) –6(–3)
Answers
Answer:
b) –3(2)
Step-by-step explanation:
–3(2)
= –3 x 2
= –6