Answer:
Area of ΔQRS = 2.3 square inches
Step-by-step explanation:
From the given information,
<S + <Q + <R = [tex]180^{o}[/tex]
51 + 44 + <R = [tex]180^{o}[/tex]
95 + <R = [tex]180^{o}[/tex]
<R = [tex]180^{o}[/tex] - 95
= [tex]85^{o}[/tex]
<R = [tex]85^{o}[/tex]
Applying the Sine rule, we have;
[tex]\frac{q}{SinQ}[/tex] = [tex]\frac{r}{SinR}[/tex] = [tex]\frac{s}{SinS}[/tex]
Using [tex]\frac{r}{SinR}[/tex] = [tex]\frac{s}{SinS}[/tex]
[tex]\frac{r}{Sin 85}[/tex] = [tex]\frac{2.3}{Sin51}[/tex]
r = [tex]\frac{2.3*Sin85}{sin51}[/tex]
= 2.9483
r = 2.9 inches
Also, [tex]\frac{q}{SinQ}[/tex] = [tex]\frac{s}{SinS}[/tex]
[tex]\frac{q}{Sin44}[/tex] = [tex]\frac{2.3}{Sin51}[/tex]
q = [tex]\frac{2.3*Sin44}{Sin51}[/tex]
= 2.0559
q = 2.0 inches
From Herons formula,
Area of a triangle = [tex]\sqrt{s(s-q)(s-r)(s-s)}[/tex]
s = [tex]\frac{2.3 + 2.0 + 2.9}{2}[/tex]
= 3.6
Area of ΔQRS = [tex]\sqrt{3.6(3.6-2.0(3.6-2.9)(3.6-2.3)}[/tex]
= 2.2895
Area of ΔQRS = 2.3 square inches
Answer:
2.4
Step-by-step explanation:
*PLEASE HELP WITH SLOVING THESE QUESTIONS IT IS DUE SOON WORTH 100 POINTS*
1. If x = -4: Then what is the answer to 8x + 4x?
2. If x = 3: Then what is 9x - 18?
3.If x = 8: Then what is -2x + 10?
4. If x = -3: Then what is 5x + 11?
Answer:
1 = -48
2 = 9
3 = -6
4 = - 4
Step-by-step explanation:
Hello there!
For each problem we are going to want to plug in the value of x (which is given) and find the total value of the expression
For #1
8(-4) + 4(-4)
8 * - 4 = -32
4*-4=-16
-32+(-16)=-48
So the answer to #1 is -48
For #2
9(3)-18
9*3=27
27-18=9
so the answer to #2 is 9
For #3
-2(8)+10
-2*8=-16
-16+10=-6
so the answer to #3 is -6
For #4
5(-3)+11
5*-3=-15
-15+11=-4
So the answer to #4 is -4
if 400g is 1kg find the ratio in the simplest form
Answer:
2 : 5
Step-by-step explanation:
The quantities must have the same units of measure
400 g : 1 Kg
= 400 g : 1000 g ← divide both parts by 200
= 2 : 5
Is PS a vertical line, a horizontal line, or neither?
P (-1,0), S (-1,7)
Given:
The two points are P (-1,0) and S (-1,7).
To find:
Whether the line PS is vertical, horizontal or neither.
Solution:
We have, two points P (-1,0) and S (-1,7).
Slope of the line PS is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{7-0}{-1-(-1)}[/tex]
[tex]m=\dfrac{7}{0}[/tex]
[tex]m=\infty[/tex]
We know that the slope of a vertical line is [tex]\infty[/tex].
Since the slope of the line PS is [tex]\infty[/tex], therefore PS is a vertical line.
y = 2x - 4
y = - 2x + 8
Math
Answer:
(3,2)
Step-by-step explanation:
Since both equations are equal to each others.
2x-4=-2x+8
2x+2x=8+4
4x=12
x=3
Substitute x = 3 in any given equations but I will substitute in the first equation.
y = 2(3)-4
y = 6-4
y = 2
Which functions have removable discontinuities (holes)? Check all of the boxes that apply.
f(x)=x-1/x^2-1
f(x)=x^2-9/x^2+7x+12
f(x)=x^2+4x+4/x^2+2x-8
f(x)=x+7/x^2+5x-14
Answer:
A,B,D
Step-by-step explanation:
I just did it .
Answer:
It is correct, the answers are A, B and D.
Step-by-step explanation:
Edge 2021. Assignment.
Please help, its my homework and I really need this done
Answer:
Surface area of cylinder = 91.2π cm²
Volume of cylinder = 57.6π cm³
Step-by-step explanation:
Given:
Height of cylinder = 1.6 cm
Radius of cylinder = 6 cm
Find:
Surface area of cylinder
Volume of cylinder
Computation:
Surface area of cylinder = 2πr[h+r]
Surface area of cylinder = 2π(6)[1.6+6]
Surface area of cylinder = 2π(6)(7.6)
Surface area of cylinder = 91.2π cm²
Volume of cylinder = πr²h
Volume of cylinder = π(6)²(1.6)
Volume of cylinder = π(36)(1.6)
Volume of cylinder = 57.6π cm³
PLEASE HELP ASAP PLZZ I WILL GIVE BRAINLIEST In order to increase the circumference of a circle from 12pi cm to 18pi cm, by how much must the diameter increase?
Answer:
This is because the diameter of the smaller circle is 12pi/pi which is 12, and the diameter of the bigger one is 18pi/pi which is 18. 12 + 6 = 18, so the diameter increases by 6.
Step-by-step explanation:
brinliest pls
Answer:
6
Step-by-step explanation:
Write the equation of the line (in point-slope form) that passes through the point (3, -4) and has a slope of 6.
Answer:
y+4=6(x-3)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=6(x-3)
y+4=6(x-3)
Omlll, I'm actually stuck rn xD If anyone can help,i'd appreciate it so much!! Tyssmm!!!!!
Answer: it’s acute
Step-by-step explanation:
the second one lollollol
Yolanda painted 2/5 of a wall in 40 minutes. If she keeps painting at the same rate, how much longer will it take her to finish painting the wall
Answer:
60 minutes
Step-by-step explanation:
She painted 2/5 of the wall.
She still needs to paint 3/5 of the wall.
3 is 50% more than 2, so 3/5 is 1.5 times 2/5, so it will take her 1.5 times the time it took so far.
1.5 * 40 minutes = 60 minutes.
Answer: 60 minutes
People enjoyed attending the concert in the park.
Twice as many men as women attended the concert.
If the total attendance was 714, how
many women
attended the concert?
Answer:
w = 238
Step-by-step explanation:
So create a system of equations if the number of m = 2w where the men's number is twice the women's number. and m + w = 714 so substitute 2w for m
2w + w = 714 so 3w = 714, divide both sides by 3, you get w = 238
Which statement is always true?
The sum of two irrational numbers is rational.
The product of a rational and irrational number is rational.
The sum of two rational numbers is irrational.
The product of two rational numbers is
rational.
what is the domainof f(x)=4^x
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Domain of given function is set of real numbers
what is the cube root of 343/8?
Answer:
970.150503788
Step-by-step explanation:
the answer is 0.875 soo use square root on both of them
On a coordinate plane, a rectangle has 4 points. Point A is (negative 5, 3), point B is (4, 3), point C is (4, 0), point D is (negative 5, 0). What is the length of side AB with endpoints A(–5, 3) and B(4, 3)? units
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
which sequence of transformations map triangle RST to triangle LMN? D0.5
Answer:
yeah my boy i think your right
Step-by-step explanation:
Clumsy Carl is running a marathon. There are 3 dangerous areas on the course, and Clumsy Carl approximates
that he has a 50% chance of falling at each spot, independent of if he falls at the other spots.
The table below shows the total number of people that will see Carl fall based on how many times he falls.
What is the expected total number of people that will see Carl fall?
Round your answer to the nearest hundred.
Answer:600
Step-by-step explanation: Khan Academy
how many quarts of pure antifreeze must be added to 6 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution
Answer:
3 quarts
Step-by-step explanation:
First, find how many quarts of antifreeze is in the mixture.
0.4 x 6 = 2.4
Now, make it into a fraction by putting the antifreeze amount over the rest so:
2.4/6
Now add + a at the end of the numerator and bottom to make:
2.4 + a/ 6 + a.
Now, turn the percentage you want to strengthen or weaken the mixture into a percentage. So, 3/5.
Now, make it an expression by adding = 3/5 at the end of the equation.
2.4 + a/ 6 + a = 3/5
Now, use cross multiplication.
12 + 5a = 18 + 3a
Now, solve the equation.
12 + 5a = 18 + 3a
-3a. -3a
12 + 2a = 18
-12. -12
2a = 6
/2. /2
a = 3.
Therefore, the answer is 3 quarts.
Lincoln's car used 16 gallons to travel 640 miles. How far can he travel on 9 gallons?
Answer: 360
Step-by-step explanation:
Well if you take 640miles and divide it by 16 gallons you get 40mpg so if you get 40mpg times that by 9 and you get 360miles
what is the best math answer ever
Lol you like maths? Honestly, I don't like it much b r u h
Hey I need help .. again we’re doing log lines
Answer:
Step-by-step explanation:
Help me with this question please!
Answer:
84 in²
Step-by-step explanation:
12+9=21
21x0.5=10.5
10.5x8=84
help me please!! thank you!! i’m so confused!!
Answer:
C 532 square feet
Step-by-step explanation:
We need to calculate the surface area of the storage shed. This includes the floor. I did the calculations without the floor and I got 434ft, which is not one of the answers.
Length = 14ft Width = 7ft Height = 8ft
The front and back of the shed both have dimensions of 14x8
The left and right sides of the shed have dimensions of 7x8
The roof and floor have the dimensions of 14x7
2(14 x 8) + 2(7 x 8) + 2(14 x 7)
2(112) + 2(56) + 2(98)
224 + 112 + 196
532 square feet
I hope this helps.
Estimate 12.59 _ 7.68 to the nearest whole number
Answer:
13_8
Step-by-step explanation:
if the first number in the decimal is 5 or up then you round up if its 4 or less you round down meaning it would be 13 and 8
The perimeter of the figure below is 54.9 in. Find the length of the missing side.
5.9 in
5.9 in
?
7-3 in
7.3 in
7.3 in
7.3 in
7.3 in
(Note: diagram is NOT to scale)
collect like terms
14. x2 + 2x - x - 2
Answer:
the answer is 3x minus 2 because when u combine the x terms it's 3x and 2 doesn't have any other like term
The product of two factors is x2+ 6x + 8. If one of the factors is (x + 4), what is the other factor?
The radius of the cylindrical construction pipe is 2.5ft, if the pipe is 25ft long, what is the volume? Use the value 3.14 for pi, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer. Please helpp.
Answer:
Step-by-step explanation:
radius of the cylindrical construction pipe = 2.5 ft
height of cylinder = 25 ft
volume of cylinder = [tex]\pi r^{2} h[/tex]
= 3.14 x 2.5 x 2.5 x 25
= 490.625
= 490 [tex]ft^{3}[/tex]
Hope this helps
please mark as brainliest!!!
Answer:
490 ft³
Step-by-step explanation:
The radius of the cylindrical construction pipe is 2.5ft, if the pipe is 25ft long, what is the volume? 490 ft³
Will give brainliest
Find the area of the shaded region.
800
5 cm
A = [?] cm2
Enter a decimal rounded to the nearest tenth.
The area of the shaded region is 73.4 cm².
What is Area ?
An object's area is the space that its boundary encloses. A closed figure's area is determined by how many unit squares are present on its surface.
Given : Radius of circle = 5 cm
The area of circle = πr²
= 25π = 78.57 cm²
Now, the area of segment can be found by using the formula :
= 1/2 × r² × [ πФ/180 - sinФ]
So, area of segment = 1/2 × 25 × [ π×80/180 - Sin 80 ]
= 25/2 × [4π/9 - 0.9848 ]
= 25/2 × [1.3968 - 0.9848]
= 5.15 cm² approx.
So, Th area of shaded region = area of circle - area of segment
= 78.57 - 5.15
= 73.4 cm²
To learn more about Area, visit the link:
https://brainly.com/question/25292087
#SPJ1
Solve: 2x-3 = 5(x + 6)
Answer:
2x - 3 = 5(x + 6)
2x - 3 = 5x + 30
-33 = 3x
x = -11
Answer:
x= -11
Step-by-step explanation:
1. Expand and distribute.
2x - 3 = 5x + 30
2. Subtract 2x from both sides.
2x - 3 = 5x + 30
-2x -2x
---------------------
-3 = 3x + 30
4 Subtract 30 from both sides.
-3 = 3x + 30
-30 -30
---------------------
-33 = 3x
6. Divide both sides by 33.
-33/3 = 3x/3
-11 = x
7. Switch sides
x = -11