Answer:
-6+3[tex]\sqrt{2}[/tex] and -6-3[tex]\sqrt{2}[/tex]
Step-by-step explanation:
xy = 18
x+y = -12
y = -12-x
substitution method:
x(-12-x) = 18
-12x - x² - 18 = 0
-x² - 12x - 18 = 0
-(x² + 12x + 18) = 0
used quadratic formula:
(-12±√144 - 4(18)) ÷ 2
(-12 ± [tex]\sqrt{72}[/tex]) ÷ 2
(-12 ± 6[tex]\sqrt{2}[/tex]) ÷ 2
= -6 ± 3[tex]\sqrt{2}[/tex]
A boy pulls the handle of a lawn mower at an angle of 30° to the horizontal with a force
of 120N. Calculate the work done when the mower moves through a distance of 12.8m.
(3mks)
If the mower is pulled over a flat horizontal surface, then first get the component of the force in the direction of the mower's displacement:
(120 N) cos(30°) = 60 √3 N ≈ 103.923 N
Then the work done by the boy on the mower over a distance of 12.8 m is
(103.923 N) (12.8 m) ≈ 1330.2 Nm ≈ 1330 J
Solve for x. Round your answer to the nearest tenth.
Answer:
15.9
Step-by-step explanation:
6^2 + x^2 = 17^2
36 + x2 = 289
x2 = 253
x= √ 253 = 15.9
HEWP KJ HLIXN Z
A:LMV
Answer:
i dont know why u deleted my answer- but ok
Step-by-step explanation:
Answer:
a hope it helps make brainlliest
Find the volume of the composite figure. Select the correct
numbers into the boxes to complete the answers.
7 ft
4 ft
4 ft
11 ft
7 ft
Volume of rectangular prism:
Volume of the triangle prims:
Answer:
the volume of rectangular prism is 11 ft.
the volume of triangle prism is 7 ft.
HELPPP WHAT IS THE ANSWER DONT SENT A FILE PLZ EXPLAIN STEP BY STEP PLZ I DINT HAVE A LOT OF TIME
Answer:
(x+3, y+2)
Step-by-step explanation:
choose a letter: let's use points A and A'
A: (-3, 3)
A': (0, 5)
the rule would be (x+3, y+2) because (-3+3, 3+2) = (0,5)
Try it on another point:
B: (-4, 0)
B': (-4+3, 0+2) = (-1, 2) which checks out!
Craig filled 1/3 of a bag with black beans and 2/6 of the same bag with red beans. What fraction of the bag did Craig fill with beans?
A.1/3
B.3/9
C.1/2
D.2/3
Answer:
D. 2/3
If 2/6 equals 1/3, then 1/3 + 1/3 = 2/3.
Answer:
4/6
Step-by-step explanation:
Make 1/3 into 6 as its denominator.
1 x 2 = 2
3 x 2 = 6
Black beans fill up 2/6 of the bag.
Red beans fill up 2/6 of the bag.
Find out what is the fraction both bags fill up altogether.
2/6 + 2/6 = 4/6
Select the correct answer. There are 500 sheets of paper in one ream. The counter on a copier says that 23,500 copies have been made. How many reams of paper were used? A. 47 reams B. 235 reams C. 470 reams D. 2350 reams
Answer:
A. 47 reams
Step-by-step explanation:
Total copies counted by the copier = 23,500 copies
Number of sheets in a ream = 500 sheets
How many reams of paper were used?
Number of reams of paper used = Total copies counted by the copier / Number of sheets in a ream
= 23,500 / 500
= 47
Number of reams of paper used = 47 reams
explain why Shirley Chisholm was a political pioneer. _________________________________________________________________________________________________________________
Answer: She had already surprised everyone by becoming the first black woman in Congress after an upset victory in 1968. Then Shirley Chisholm signed up for work as a census taker in Brooklyn, where she represented a range of struggling neighborhoods.
It was a thankless task; many of the “enumerators” for the 1970 census quit because so many poor black and Hispanic residents refused to answer questions or even open the door.
Their distrust in government ran deep, The Times reported, with some fearing that giving up their personal information would lead to genocide.
Ms. Chisholm, a daughter of immigrants from Barbados who studied American history with the zeal of a woman determined to shape it, understood such sentiments. She also embodied what was needed to bring those New Yorkers into the fold. It wasn’t pontificating. It wasn’t condescending, or scolding; it required the same charm and resolve she showed first as an educator, then as a politician.
“I do not see myself as a lawmaker, an innovator in the field of legislation,” she wrote in her 1970 autobiography, “Unbought and Unbossed.” “America has the laws and the material resources it takes to insure justice for all its people. What it lacks is the heart, the humanity, the Christian love that it would take.”
perform the indicated operation
1.(3x+8)+4x-3)
2.(7x-8)-(2x+4)
3.(5x2-8x+6)-(3x2-3x+2)
Answer:
1. 7x+5 2.5x-12. 3.2x^2+5x+4
Step-by-step explanation:
if you look up mathaway and put the equations in. it will tell you all the steps. hope this helps.
Answer:
hmmmmmmm
Step-by-step explanation:
o9ooooooooooooooo
please help find median and mean of each data display.
Answer:
median: 60
mean:44
Step-by-step explanation:
80-20=60
30+50+80+40+20=220
220÷5=44
Solve for x.
3x = 8x + 10
X =
Please help
Answer:
x= 0
Step-by-step explanation:
1. Combine like terms
2. Subtract 18x from both sides of the equation
3. Simplify
Solution
= 0
under 50 yards how much is a touchdown worth in flag football?
Answer:
6
Step-by-step explanation:
The ratio of boys to girls in the 10th grade is 8 to 13. If there are 91 girls in 10th grade, then how many boys are there?
Answer: There are 56 boys in the 10th grade
Step-by-step explanation:
Step 1
ratio of boys to girls in the 10th grade is 8 :13
Number of girls= 91
To find the number of boys, we first find the total number of boys and girls in the 10th grade
Step 2
Now the total ratio= 8 +13=21
Number of girls = ratio of girls/ total ratio x Total number of students
91=13/ 21 x Total number of students
Total number of students =21 x 91 / 13 =147
Step 3
Therefore Number of boys =ratio of boys/ total ratio x Total number of student
8/21 x 147=56
Find the equation of the line shown
Answer:
y=x+1
Step-by-step explanation:
i hope this helps :)
Answer:
y=x+1
Step-by-step explanation:
The gradient is y2-y1:x2-x1 which is 9-1:8-0 ; for example using two points on the line. The gradient is 1, so y=x is the first thing we get. Then you will use a point that is on the line in that equation. For example: y=x, 2=1. So it cannot be like this so we have to add 1. 2=1+1, therefore y=x+1
Tom spends 30% of his monthly budget on rent. His total monthly budget is 3,000 how much does Tom spend on rent?
Answer:
Total rent= $900
Step-by-step explanation:
Giving the following information:
Total monthly budget= $3,000
Percentage of rent in the budget= 30%
To calculate the monetary value paid in rent, we need to use the following formula:
Total rent= percentage of rent paid*total monthly budget
Total rent= 0.3*3,000
Total rent= $900
PLEASE help me with this math problem..
Answer:
6
Step-by-step explanation:
25 / 10 = 2.5
15 / 2.5 = 6
Can you please help me?
The ages of the employees at Solar Systems, Inc. Is normally distributed with a mean of 32.7 years and a standard deviation of 1.8 years. What percentage of employees at Solar Systems, Inc. Are younger than 30 years old? Round your answer to the nearest tenth of a percent.
Answer:
6.7%
Step-by-step explanation:
Mean = 32.7
Standard deviation = 1.8
Percentage of employees younger Than 30 years
Obtained the Standardized age, x < 30
Z = (x - mean) / standard deviation
Z = (30 - 32.7) / 1.8
Z = - 2.7 / 1.8
Z = - 1.5
Obtain the probability :
Using a Z probability calculator or standard normal table :
P(Z < - 1.5) = 0.066807
0.066807 * 100% = 6.7%
Find the surface area of the composite solid. 6 ft 4 ft 1 5 ft 5 ft
Sa Of Rectangular Prism - 65
Sa Of Pyramid - 85
TOTAL SURFACE AREA - 150
Steffie makes a scale drawing for a crate with a scale factor of 1 to 3 the dimensions of her scale drawing are 15 inches long by 12 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1 to 9
Answer:
The length is 5 inches and the width is 4 inches
Step-by-step explanation:
Steffie makes a scale drawing for a crate with a scale factor of 1:3. The dimensions of her scale drawing are 15 inches long by 12 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1:9. What are the dimensions of the builder's scale drawing? A. The length is 4 inches and the width is 5 inches B. The length is 45 inches and the width is 36 inches. C. The length is 5 inches and the width is 4 inches. D. The length is 36 inches and the width is 45 inches
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
dimensions of the image steffie scaled = (15 x 3) by (12 x 3) = 45 by 36
Builders scaled image = (45 / 9) by (36 /9) = 5 by 4
Which of the following are examples of radical numbers? Select all that apply.
Ill give the brainlest to the first correct answer
Answer:
√5 + √36
√9 + √24
3√12
These are radicals
Step-by-step explanation:
[tex]\sqrt{4}+\sqrt{16}=\sqrt{2*2}+\sqrt{4*4}=2+4 = 6[/tex]
Not radical
[tex]\sqrt{5}+\sqrt{36}=\sqrt{5}+\sqrt{6*6}=\sqrt{5}+6[/tex]
It is a radical
[tex]\sqrt{9}+\sqrt{24}=\sqrt{3*3}+\sqrt{2*2*2*3}=3+2\sqrt{2*3}=2+2\sqrt{6}[/tex]
It is radical
[tex]2*\sqrt{4}=2*2=4[/tex]
Not radical
[tex]\sqrt{49}*\sqrt{81}=\sqrt{7*7}*\sqrt{9*9}=7*9=63[/tex]
Not radical
[tex]3\sqrt{12}=3\sqrt{2*2*3}=2\sqrt{3}[/tex]
Radical
Mguel sells nsurence. He earns a 6% commision on each sell he makes. Miguel has a goal of earning $600 in commisions. Miguel needs to sell what Worth of nsurence to meet his goal.
Answer:
$10,000= sales
Step-by-step explanation:
Giving the following information:
Commission rate= 6%
Desired total earnings= $600
To calculate the sales level required to reach the objective, we need to use the following formula:
Desired earning= commission rate*sales
600= 0.06*sales
600/0.06= sales
$10,000= sales
can someone plz help answer this?
HELP PLZ 20 POINTS!!!!!!!!!!!!!!!!!!!!
Answer:
the correct function is linear
Step-by-step explanation:
Answer:
55.4 ft/s
Step-by-step explanation:
The easiest way to do this is to plug it into a calculator. The problem tells us that x is an object that has fallen a certain amount of feet. Then, the problem gives us that the object has fallen 48 feet. We can now plug 48 in for x and you get 55.4
Show all work to factor x4 – 10x^2 + 9 completely.
Answer:
(x+1)(x-1)(x+3)(x-3)
Step-by-step explanation:
it is a fourth degree trinomial
1) find two number whose sum is -10 and whose product is 9
the two numbers are -1 and -9
2) write the trinomial as a multiplication in this way
(x^2-1)(x^2-9)
3) the two factors are both a difference of tho squares.
so we can rewrite it as
(x+1)(x-1)(x+3)(x-3)
what is the slope of the line?
Answer: -3/2
Step-by-step explanation:
rise / run . the line is decreasing vertically by 3 and increasing horizontally by 2.
Use the series below to answer the following questions.
Answer:
a1=4, r=5, n=6
Step-by-step explanation:
got it correct on edge
b= first option
c= 15,624
Answer:
a1=4, r=5, n=6
b= first option
c= 15,624
Step-by-step explanation:
It is right on edge
find the height of a cone with a volume of 21ft and a radius of 4ft
here's the solution,
volume of cone :
=》
[tex]v = \dfrac{1}{3} \pi {r}^{2} h[/tex]
=》
[tex]21 = \dfrac{1}{3} \times 3.14 \times4 {}^{2} \times h [/tex]
=》
[tex]h = \dfrac{21 \times 3}{3.14 \times 16} [/tex]
=》
[tex]h = 1.253[/tex]
height = 1.25 ft (approximate)
if I have 200 apples and if I gave my friend 60 apples then how much apple I have
Answer:
[tex] \huge\red{ \mid{ \underline{ \overline{ \tt ♡ ANSWER࿐ ♡ }} \mid}}[/tex]
Total number of apples = 200
Apples you gave to your friend = 60
Apples left = ?
Apples left
[tex] = 200- 60 \\ = 140[/tex]
✏ You will have 140 apples left.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
Answer: 140 apples
Step-by-step explanation:
If you start off with 200 apples, but then give 60 of them, you would subtract 60 from 200.
200 - 60 = 140
You would be left with 140 apples.
PLZ HELP!!!!!!!!! IM BEING TIMED!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B. 40
Step-by-step explanation:
It looks like a 90-degree angle so...
90 - 30 = 60
60 - 20 = 40
40 would be your final answer.