Answer:
20
Step-by-step explanation:
firstly let's find out the side lengths of the triangle using formula
[tex]length \: = \: \sqrt{(y₂-y1) + ( y₂-y1)}[/tex]
length of AB
[tex] \sqrt{( - 6 - 2) {}^{2} + ( - 4 - 1) {}^{2} } = \sqrt{89} [/tex]
length of AC
[tex] \sqrt{( - 6 - 2) {}^{2} + (1 - 1) {}^{2} } = 8[/tex]
length of BC
[tex] \sqrt{( - 6 - ( - 6)) {}^{2} + (1 - ( - 4)) {}^{2} } = 5[/tex]
Now we have all three side lengths:
a =√89 b = 8 and c = 5
using this formula to find the semi perimeter where a, b and c are the side lengths, input them in
[tex]s \: = \: \frac{a + b + c}{2} [/tex]
[tex]s = \frac{ \sqrt{89} + 8 + 5 }{2} = \frac{13 + \sqrt{89} } {2} [/tex]
Use heron's formula
[tex]area = \sqrt{s(s - a)(s - b)(s - c)} [/tex]
[tex]area = \sqrt{ \frac{13 + \sqrt{89} }{2}(\frac{13 + \sqrt{89} }{2} - \sqrt{89})( \frac{13 + \sqrt{89} }{2} - 8)(\frac{13 + \sqrt{89} }{2} - 5 } = 20[/tex]
area = 20
As part of a visit, a veterinarian weighs each dog brought to her clinic. At the end of each day, she creates a histogram of all the dogs’ weights. The histogram she created on one particular day is shown.
How many observations are recorded in this histogram?
Please help, I really struggle with this! anythibg will help
[tex]{:\implies \quad \sf \dfrac{3}{8}+\dfrac{3}{6}}[/tex]
After taking LCM ;
[tex]{:\implies \quad \sf \dfrac{9+12}{24}}[/tex]
[tex]{:\implies \quad \sf \dfrac{21}{24}}[/tex]
[tex]{:\implies \quad \bf \underline{\underline{\dfrac{7}{8}}}}[/tex]
Question 2 :-[tex]{:\implies \quad \sf \dfrac{5}{9}+\dfrac{1}{3}}[/tex]
After taking LCM ;
[tex]{:\implies \quad \sf \dfrac{5+3}{9}}[/tex]
[tex]{:\implies \quad \bf \underline{\underline{\dfrac{8}{9}}}}[/tex]
Question 3 :-[tex]{:\implies \quad \sf \dfrac{5}{12}+\dfrac{7}{8}}[/tex]
After taking LCM ;
[tex]{:\implies \quad \sf \dfrac{10+21}{24}}[/tex]
[tex]{:\implies \quad \bf \underline{\underline{\dfrac{31}{24}}}}[/tex]
Question 4 :-[tex]{:\implies \quad \sf \dfrac{7}{9}-\dfrac{1}{6}}[/tex]
After taking LCM ;
[tex]{:\implies \quad \sf \dfrac{14-3}{18}}[/tex]
[tex]{:\implies \quad \bf \underline{\underline{\dfrac{11}{18}}}}[/tex]
Question 5 :-[tex]{:\implies \quad \sf 4\dfrac{2}{5}+2\dfrac{1}{5}}[/tex]
Simplifying it into improper fraction will leave with us ;
[tex]{:\implies \quad \sf \dfrac{22}{5}+\dfrac{11}{5}}[/tex]
Now , we know that whenever we add or subtract two or much fractions and their denominator is same , then the resultant has the same denominator and we had to perform operations in just numerator .
Applying it here ;
[tex]{:\implies \quad \bf \underline{\underline{\dfrac{33}{5}}}}[/tex]
Question 6 :-[tex]{:\implies \quad \sf 5\dfrac{3}{8}+2\dfrac{7}{8}}[/tex]
Simplifying it into improper fraction will leave with us ;
[tex]{:\implies \quad \sf \dfrac{43}{8}+\dfrac{23}{8}}[/tex]
[tex]{:\implies \quad \sf \dfrac{43+23}{8}}[/tex]
[tex]{:\implies \quad \sf \dfrac{66}{8}}[/tex]
[tex]{:\implies \quad \bf \underline{\underline{\dfrac{33}{4}}}}[/tex]
Note :- Whenever we have a mixed fraction of the form [tex]{\bf a\dfrac{b}{c}}[/tex] we convert it into an improper fraction of the form [tex]{\bf \dfrac{ac+b}{c}}[/tex]
Nicole and Elena wanted to know if listening to music at a louder volume negatively impacts test performance. To investigate, they recruited 30 volunteers and randomly assigned 10 volunteers to listen to music at 30 decibels, 10 volunteers to listen to music at 60 decibels, and 10 volunteers to listen to music at 90 decibels. While listening to the music, each student took a 10-question math test. Given is computer output from a least-squares regression analysis using = volume and = number correct.
Predictor Coef SE Coef T P
Constant 9.9000 0.7525 13.156 0.0000
Volume - 0.0483 0.0116 -4.163 0.0003
S = 1.55781 R-Sq = 38.2% R-Sq (adj) = 36.0%
What is the P-value of this test?
Interpret the P-value of this test.
Assuming the slope of the true regression line relating
y = performance on the 10-question math test to x = volume of the music is _______, there is a _____ probability of getting a sample slope of ________ by chance alone.
Nonsense will be Reported!!
Step-by-step explanation:
1. when x is 0
y will be
4x+2y=10
4(0)+2y=10
0+2y=10
collect like terms
2y=10-0
2y=10
divide both sides by 2
2y/2=10/2
y=5
so when x =0 y will equal to 5
2. when x is 1
y will be
4x+2y=10
4(1)+2y=10
4+2y=10
collect like terms
2y=10-4
2y=6
divide both sides by two
2y/2=6/2
y=3
so when x is 1, y is 3
3. when x is 2
4x+2y=10
4(2)+2y=10
8+2y=10
(CLT) 2y=10-8
2y =2
y= 1
Answer:
( x ,y) = ( 0, 5), ( 1, 3), ( 2, 1 ), ( 3, -1)
given equation: 4x + 2y = 10
rewrite it as:
2y = 10 - 4xy = 5 - 2xsolve:
when x = 0
y = 5 - 2(0)
y = 5
when x = 1
y = 5 - 2(1)
y = 3
when x = 2
y = 5 - 2(2)
y = 1
when x = 3
y = 5 - 2(3)
y = -1
The population of a school is 800 and is increasing at a of 2% per year , 6 years
My answer is assuming that you want the final population after the 6 years since you did not tell me the question.
If it increases 2% a year then it can be expressed in a exponential function.
Result=800*(1+0.02)^6
Result≈900.93
And since there cannot be part of a student, we round down and get the answer of 900 students after the sixth year.
PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST
Answer:
B
Step-by-step explanation:
B because you are flipping the -4 5/6.
Hope this helps! :)
thanks for helping
can you show the steps
Which line segment is a radius of circle F?
FE¯¯¯¯¯
AC¯¯¯¯¯
DC¯¯¯¯¯
ED¯¯¯¯¯
Answer:
FE
Step-by-step explanation:
I took the test a while back and got this answer right.
Calculate the missing angles in these isosceles triangles
angle N and angle M has same value 32 degree because it is an isosceles triangle so the value is 116 degree
Please please helppppppp
Step-by-step explanation:
putt the value of x in sin 3*5*180/4
answer will be 540
f(x) = 2x - 3 and g(x) = x - 1.
Find f((g(x)) - g(f(2))
Answer:
(f + g)(x) = I2x + 1I + 1 ⇒ C
Step-by-step explanation:
∵ f(x) = I2x + 1I + 3
∵ g(x) = -2
→ We need to find (f + g)(x), which means add the two functions
∵ (f + g)(x) = f(x) + g(x)
→ Substitute the right side of each function on the right side
∴ (f + g)(x) = I2x + 1l + 3 + (-2)
→ Remember (+)(-) = (-)
∴ (f + g)(x) = I2x + 1I + 3 - 2
→ Add the like terms in the right side
∵ (f + g)(x) = I2x + 1I + (3 - 2)
∴ (f + g)(x) = I2x + 1I + 1
i hope this work for you
Simplify the expression:
3x+b+p^2
Answer:
[tex]3x+b+p^2[/tex] is already simplified
Step-by-step explanation:
[tex]3x+b+p^2[/tex] is already simplified
Answer:
The equation is already simplified
Step-by-step explanation:
Nothing fuurther can be done to this equation
What are the values of (-8)^2 and -8^2
A. 64 and -64
B. 16 and 16
C. 64 and 64
D. 16 and -16
Which of the following are remote interior angles of <1?
Answer:
A and B
Step-by-step explanation:
The remote interior angles are the angles inside the triangle opposite to ∠ 1 , that is
∠ 2 and ∠ 3
Five times the product of two numbers x and y divided by a third number z
Answer:
The product of two numbers can be written as "x" and "y", and this product is multiplied by 7. Then, five is divided by "z" which is multiplied by 3. So, the answer is 7(xy) - 5/3z.
Step-by-step explanation:
“I think of a number and divide it by 5. The answer is 20.”
Answer: 100
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
To find out that number we do inverse:
Inverse of divide is multiply:
20 × 5 = 100
This is our answer since:
100 ÷ 5 = 20
find the perimeter of a square of side 10.5 cm
Answer:
P=42cm
Step-by-step explanation:
Solution: P =4a = 4 x 10.5 = 42cm
simplify 5/12 x 1/12
A. 1/5
B. 5/144
C. 12/60
D. 5
Answer:
B. 5/144
5 can't go in 144 evenly. so its leading to 5/144
Step-by-step explanation:
The answer would be B.5/144
5 1 5
---- x ----- = -----
12 12 144
12 x 12 = 144
Distribute to create an equivalent expression with the fewest symbols possible.
1/2 (2a-6b+8)
please help me or im doomed
Answer:
a-3b+4
Step-by-step explanation:
multiply the 1/2 by each number, or subtract half from each number.
But you'll need to keep the variables. hope this helped!
need help asap first to answer gets BRAINLIEST
Answer:
[tex]\sf 1.9 * 10^6 \ is \ greater \ than \ 3.56 * 10^4[/tex]
Explanation:
[tex]\sf 3.56\:\cdot \:10^4 = 35600[/tex]
[tex]\sf \:1.9\:\cdot \:10^6 = 1900000[/tex]
Look the the 'to the power' above 10. The greatest number to the power is the greatest number. Here 6>4
Therefore, [tex]\sf 1.9 * 10^6 \ is \ greater \ than \ 3.56 * 10^4[/tex]
Answer: 1.9 × 10^6 is greater
Step-by-step explanation: why its because when you multiply them to each other there number amount is higher hence that's why I know.
Someone help me with this pleaseeee
Answer: (A) x⁰ = 30⁰
Ok done. Thank to me :>
In Hilliard School there are 650 students. Of the 650
students, there are 400 students who play at least one
sport. Write and solve a proportion to determine how
many students in a class of 30 students would play at
least one sport. (Round answer to the nearest whole
number.)
Answer:
It's 50 because I used the right answer hahahahah
I need help with easy things
Answer:
the answer is 1820
455×
4
1820
ans:1820
Divide. 8 / 95.44 Enter your answer as a decimal in the box.
Answer:
0.08
Step-by-step explanation:
8 / 95.44 = 0.08
Hope this helps!
Answer:
0.08
Step-by-step explanation:
What is the answer to this question?
Step-by-step explanation:
3gh² × 4g³h³
Expand
3 × 4 × g × g³ × h² × h³
To make it easier to understand
(3×4) × ( g × g³) × (h² × h³)
(12) × (g¹+³) × ( h²+³)
= 12g⁴h⁵
Basically, you add the indices of the given letters while also multiplying the whole numbers.
I hope you understand :)
Please be so kind as to mark me brainliest :)
e Try Again The ratio of men to women working for a company is 4 to 5. If there are 243 employees total, how many women work for the company? women
A theater can seat 170 people. The number of rows is 7 less than the number of seats in each row. How many rows of seats are there?
what two numbers add to -18 and multiply to 81
Answer : -3 And -9
Explanation : -9 * -9 = 81 So -9 Is True And -9 + -9 = -18
And -3 * -27 = 81 And -3 + -3 + -3 + -3 + -3 + -3 = -18
◊ YusuCr ◊
Brainliest Would Be Appreciated
25x - 80 = 120 cant figure this i need help please
Answer:
x = 8
Step-by-step explanation:
25x - 80 = 120
+ 80 + 80
25x = 200
/25 /25
x = 8
Check your answer:
25x - 80 = 120
25(8) - 80 = 120
200 - 80 = 120
120 = 120
This statement is correct
Hope this helps!
Answer:
8
Step-by-step explanation
Find 62,208 divide 36
Answer:
1728
Step-by-step explanation: