Is the statement “The absolute value of a number is always greater than its opposite” true?
Answer:
No; the absolute value of a negative number is equal to its opposite
Step-by-step explanation:
If the diagonals of a rhombus are of length 24 & 32 cm, find the altitude of the rhombus.
a) 15.8 cm
b) 14.2 cm
c) 12 cm
d) 19.2 cm
Hello Carousel!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
If the diagonals of a rhombus are of length 24 & 32 cm, find the altitude of the rhombus.
a) 15.8 cm
b) 14.2 cm
c) 12 cm
d) 19.2 cm
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Please refer to the attached picture for the answers with steps included.
NOTE :-
The sides of a rhombus are equal to each other.The point of intersection of the diagonals (marked as O in the figure) forms 90° angles (which is why we used the pythagoras property to solve the question).Since 0 is the point of intersection, it's also the midpoint of the diagonals. (So, BO = ½ × BD & AO = ½ AC -- we used this to solve the question).__________________
Hope it'll help you!
ℓu¢αzz ッ
lim x tends to a {x^7-a^7/x^3-a^3]
Answer:
thank you very much
1235÷722
Please help me this question
Enter the value of x. The diagram is not to scale.
680
119°
.70
Answer:
51°
Step-by-step explanation:
We know that all angles in a triangle add up to 180°
We have one of them, 68° for now.
We also know the angle on the outside of the triangle that forms with one side being extended. That side is a straight line (180°)
Which means the interior angle there would be 180-119 = 61°
This means that we have 2 out of 3 angles now. Now we just add them up and subtract them from 180°.
180° - (68+61) = 51° is our final answer.
Let me know if that makes sense, or if you have any other questions.
Hope I helped! :)
The coefficient of x in the expansion of (x+3)(x - 1) is
Answer:
^2+2−3
Step-by-step explanation:
Answer: the coefficient of x in the expansion is 2
Step-by-step explanation:
(x+3)(x-1)= (x)(x) + (x)(-1) + (3)(x) + (3)(-1)
which equals x^2 -x +3x -3 which is x^2 +2x -3
the leading coefficient of x^2 1. and the coefficient of x is 2.
Solve the given equation.
- 29 = - 13 - n
Write step by step how you solved it.
Answer:
The answer is n=16
Step-by-step explanation:
Let's solve your equation step-by-step.
−29=−13−n
Step 1: Simplify both sides of the equation.
−29=−13−n
−29=−13+−n
−29=−n−13
Step 2: Flip the equation.
−n−13=−29
Step 3: Add 13 to both sides.
−n−13+13=−29+13
−n=−16
Step 4: Divide both sides by -1.
−n/−1 =−16/−1
n=16
Roger paid $27.50 for a sweatshirt. This amount includes a sales tax of 10%. What was the cost of the sweatshirt before tax?
Answer:
$ 24.75
Step-by-step explanation:
10/100 = x/27.50 (10% is what of 27.50) (%/100 = is/of)
(27.50)(10)/100 (cross multiply)
= $2.75 (tax)
27.50 - 2.75 = $ 24.75
Mrs. Blake needs to hire a babysitter. Kelsey charges $6 per hour plus a $5 fee. Lauren charges $4 per hour, plus a $10 fee. Mrs. Blake set up this equation to figure out for what amount of time both babysitters charge the same.
6h + 5 = 4h + 10
What is the correct sequence of steps to solve Mrs. Blake’s equation?
A. Subtract 6h from both sides. Subtract 5 from both sides. Divide each side by –2.
B. Subtract 4h from both sides. Subtract 5 from both sides. Divide each side by 2.
C. Subtract 4h from both sides. Add 5 to both sides. Divide each side by 2.
D. Subtract 4h from both sides. Subtract 5 from both sides. Divide each side by 6.
Answer: The answer is B.
Step-by-step explanation: I took the test (:
Answer:
b
Step-by-step explanation:
Fiona planted tomato plants in her back yard earlier this year. So far, they have produced 55 tomatoes. From past experience, she expects the tomato plants to produce an additional 14 tomatoes each week for the rest of the summer. Which of the following recursive formulas can be used to determine the total number of tomatoes produced by her plants after any given number of weeks in the summer, assuming that her expectations are correct?
Answer:
Although it is a short-lived perennial, tomato plants can bear fruit for more than one year in parts of the world that never dip below 65 degrees Fahrenheit. If you have a greenhouse and can keep it heated during the cold months, consider placing an experimental beefsteak, plum or grape tomato plant among your tropical flowers.
Step-by-step explanation:
What is the correct standard form for 500 + 6 + 0.09 + 0.003.
Answer:
506.093
Step-by-step explanation:
Expand the brackets in these expressions
1.(a²)²
2.(3c)³
3.(2z²)³
4.a(2b)²
5.5(q2)2
6.(xy)²
7. i(jk)²
Answer:
1. a^4.
2. 9c³.
3. 8z^6.
4. 4b²a.
5. 20q(if the 2 isn't an exponent)
if it is,
20q².
6.x²y².
7. j²k²i.
All the best.
Answer:
Step-by-step explanation:
[tex]1.(a^{2})^{2}= a^{2*2}=a^{4}\\\\\\2. (3c)^{3}=3^{3}*c^{3} = 27c^{3}\\\\\\3.(2z^{2})^{3}=2^{3}*(z^{2})^{3}=8z^{2*3}=8z^{6}\\\\\\4.a(2b)^{2}=a*2^{2}b^{2}=4ab^{2}\\\\\\5.5(q^{2})^{2} = 5q^{2*2}=5q^{4}\\\\\\6.(xy)^{2}=x^{2}y^{2}\\\\\\7i(jk)^{2}=ij^{2}k^{2}[/tex]
I Need Help Please
Jada has a scale map of Kansas that fits on a page in her book. The page is 5 inches by 8 inches. Kansas is about 210 miles by 410 miles. Select all scales that could be a scale on the map. (There are 2.54 centimeters in an inch.) A. 1 in to 1 my B. 1 cm to 1 km C. 1 in to 10 mi D. 1 ft to 100 mi E. 1 cm to 200 km F. 1 in to 100 mi G. 1 cm to 1000 km
Step-by-step explanation:
5 inches on the map correspond to 210 miles (or even a bit more) in reality.
we do know, the real length of the state is 213 miles.
and 8 inches to 410 (or a bit more) miles.
but, in fact, in reality, Kansas is indeed 410 miles long.
so, let's see first about the consistency of the scale factors (our ratios) in every direction.
5 inches / 210 miles = 1/42
8 inches / 410 miles = 4/205 = 1/51.25
so, in order to be a true map, both directions must have the same scale factor.
to fit the whole map on one page we must go with the smaller scale ratio : 1/51.25
so,
A with the ratio 1/1 is wrong.
B wrong.
1 cm = 1/2.54 inches
1 km = 1/1.6 miles
so, the scale ratio here is
1 cm / 1km = 1/2.54 / 1/1.6 = 1.6 / 2.54
still far off of the 1/51.25 ratio.
C with the ratio 1/10 is wrong.
D wrong
1 ft = 12 inches
the ratio is therefore
12/100 = 3/25 = 1/8.3333
still far off of the 1/51.25 ratio.
E would fit
1 cm = 1/2.54 inches
1 km = 1/1.6 miles
200 km = 200/1.6
so, the scale ratio here is
1 cm / 200km = 1/2.54 / 200/1.6 = 1.6 / (2.54×200) =
= 1.6 / 508
still far off of the 1/51.25 ratio, but in the form of being much smaller. so it fits on the page.
F would fit.
the ratio is 1/100.
this is again far off of the 1/51.25 ratio, but also in the form of being much smaller, so it fits on the page.
G would fit.
1 cm = 1/2.54 inches
1 km = 1/1.6 miles
1000 km = 1000/1.6
so, the scale ratio here is
1 cm / 1000km = 1/2.54 / 1000/1.6 = 1.6 / (2.54×1000) =
= 1.6 / 2540
again far off of the 1/51.25 ratio, but also in the form of being much smaller. so it fits on the page.
to the nearest tenth, the P(z<-1.4) is:
A) 6.7%
B) 8.1%
C) 80.8%
D) 91.9%
Answer: everyone to the nearst tenth is 7% 8% 81% 92%
Step-by-step explanation: if this is what it is i did this in the 4th
Juan is paid a salary of $302 biweekly find Juan’s earnings per year
Answer:
7852
Step-by-step explanation:
There are 52 weeks in a year
Divide by 2 to determine bi-weekly
52/2 = 26
You will be paid 26 times in a year if you are paid bi-weekly
302 * 26
7852
Dont leave any links please
Answer:
m^2/n
Step-by-step explanation:
The following laws of exponent are useful to this problem:
[tex] \displaystyle \large{ {(mn)}^{b} = {m}^{b} {n}^{b} } \\ \displaystyle \large{ {n}^{ - b} = \frac{1}{ {n}^{b} } }[/tex]
We are given the expression:
[tex] \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } }[/tex]
Use the first law of exponent above.
[tex] \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = {m}^{(8)( \frac{1}{4}) } {n}^{ ( - 4)( \frac{1}{4}) } } \\ \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = {m}^{2 } {n}^{ - 1} }[/tex]
Make sure to recall the important necesscary fundamental math such as operation with negative numbers/integers, basic division, fraction, etc.
From the expression, apply the second law of exponent to n^-1.
[tex] \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = {m}^{2 } ( \frac{1}{ {n}^{1} } )} \\ \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = {m}^{2 } ( \frac{1}{ {n} } )} \\ [/tex]
Multiply m in.
[tex] \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = \frac{ {m}^{2} }{ {n} } }[/tex]
Thus the answer is m^2/n.
Which of the following is a polynomial?
A.
(x - 2)
(x4 +3)
B. X2 - 1
C. A + x 4 + 16
D. 1/x +2
Answer:
A, B, C
Step-by-step explanation:
Assuming the choices are:
A. [tex](x-2)(x^{4}+3)[/tex]
B. [tex]x^{2} -1[/tex]
C. A+[tex]x^{4} +16[/tex]
D. [tex]\frac{1}{x} +2[/tex]
Put simply, a polynomial in this case will be a function that has at least one variable raised to a power greater than 1.
Choice A already has a variable raised to a power greater than 1 ([tex]x^{4}[/tex]), so no additional manipulation is needed.
Choice B also has a term that is already raised to a power greater than 1 ([tex]x^{2}[/tex]). It is the same for choice C ([tex]x^{4}[/tex]).
Choice D does not have an obvious variable raised to a power greater than 1. When the equation is manipulated it becomes [tex]x^{-1} +2[/tex]. Since -1 is less than 1, choice D is not a polynomial.
Answer:
Option D
Step-by-step explanation:
[tex]\\ \sf\longmapsto \dfrac{1}{x}+2[/tex]
Simplify
[tex]\\ \sf\longmapsto x^{-1}+2[/tex]
Degree is less than 1 .It's not a polynomial
What is the slope-intercept form of the linear equation 2x + 3y = 6?
Drag and drop the appropriate number, symbol, or variable to each box.
1. х
2. y
3. 6
4. 3
5. -1
6. 2
7. 3
8. 6
9. +
10. 1
11. 2.
12. 3
13. 4
14. 5
I need the 6 that go in the boxes
Answer:
slope is -2/3
Step-by-step explanation:
[tex]3y = - 2x + 6 \\ y = \frac{ - 2}{3} x + 2[/tex]
55000/500 in standard form
Answer:
i think it is 110
Step-by-step explanation:
sorrt if i am wrong
Two numbers have a sum of 32. One number is 6 more than the other. Find the numbers
Let the bigger number be 'U' and the smaller number 't'.
Since the two numbers have a sum of 32, then U + t = 32.
& since one number is 6 more than the other, the U - 6 = t
⇒ U + U - 6 = 32
2U = 38
U = 19
By substituting fot the value of U we found,
19 - 6 = t
t = 13
∴ the numbers are 13 & 19.Answer:
13 and 19
Step-by-step explanation:
let's first set the two mystery numbers as "x"
and we know that x + (x + 6) = 32 since one of the numbers is 6 more than the other.
now let's set it up:
x + x + 6 = 32
= 2x = 26
= x = 13
so we know that x = 13 now we need to find the other number so we do:
13 + 6 = 19
now to check our work:
13 + 19 = 32
hope that helped :))
Find the value of K given x=4 and y=16?
Answer:
When y = 20 ,x is −5
Step-by-step explanation:
EXAMPLE 4
If m.25 = 82, find each measure.
a. M21 -
e. m.26
LM210
b.m.22
1. m.27
J. 211
1/7 2/6 319
10
11 6/12
c.m.3
9. M.28
km212 =
d. 24
hm.29
EXAMPLE 5
Ifm.212 121° and m.2675°, find each measure.
a.m21
e. m.25
Lm.210
b. m.22
t.m.27
Jm211
70
10
13 14
11/12
c.m.3
km.213
g. 28
d.m24
hm.29
L214 =
EXAMPLE
Ifm.27 - 38° and m210 = 102, find each measure.
a. mZ1 =
..MZ6
km213
10
b. m.22
g.M.ZB
Lm.214 =
c.m.23
h. m29
m.m415
13 14
16
d.m24
I. m211 =
n. 216
e. m.25
J. M212=
I m.22 41, m.2594, and m.210 = 109, find each measure,
EXAMPLE 7
a. mZ1 =
d. m.26
9. m29
b.MZ3 =
c.m.27 -
c. m.24
1. M.Z8 =
Answer:
thank You for your points rhis is the answer kf
can someone please help me with this
Answer:
3. How many faces do each of the following have?
cube - 6 facessquare pyramid - 5 facestriangular pyramid - 4 facespentagonal pyramid - 6 facesHope this helps!
At 9 AM,one share of Starbucks stock was $26. By 2 PM the price was $29. The rate the Starbucks stock value was changing is ___ per hour.
Answer:
60 cents per hour
Step-by-step explanation:
final price minus starting price is 3 divide by 5 hours to get .60
Realiza los siguientes problemas de Tanto Por Ciento.
1. Se desplaza un camión consumiendo el 60% de su combustible, si el tanque
lleno tiene 45 litros de gasolina ¿Cuántos litros ha consumido?
2. En un gimnasio una persona se pesa y tiene 78 kilogramos de peso, si el peso ideal (100%) para una persona de su edad es de 62 kilogramos ¿Cuales el porcentaje de peso que tiene la persona?
3. Un cohete lunar ha consumido el 20% de su tiempo de vida útil, el cual es de 15 años (100%) ¿Cuânto tiempo de vida útil ha consumido el cohete lunar?
4. El volcán de Pacaya incremento su altitud en 25 metros en su ultima erupción de ceniza, si el volcán mide 2,552 metro ¿Qué porcentaje de altura incremento?
5. Beni tiene el 40% de la edad de su hermano Aarón que tiene 24 años ¿Que edad tiene Beni?
Answer:
1. 27 liters
2. 125.8%
3. 3 years
4. 0.98%
5. 9.6 years
Step-by-step explanation:
1. (60%)(45) = 27 liters
2. Percentage of weight relative to ideal weight = (100%)(78/62) = 125.8%, rounded to nearest 10th of a percent.
3. (20%)(15) = 3 years
4. Assume that the beginning height is 2552 meters and the height increases 25 meters. Then, the percentage increase = (100%)(25/2552) = 0.98%, rounded to the nearest 100th of a percent.
5. Beni's age = (40%)(24) = 9.6 years
How do you solve this type of problem?
Thanks!
Mary got a rectangular box. If the perimeter is 82cm and the length is 23cm, what is the
width of the box?
Answer:
w = 18cm
Step-by-step explanation:
Using the formula
P = 2 (l + w)
Solving for w
w = P
2﹣l = 82
2﹣23 = 18cm
Dividing Decimals by Decimals Word Problems
The Sanchez family drove 48.9 miles to the river. It took them 1.2 hours to get there. How fast did they drive in miles per hour?
Please answer quickly because this is due tomorrow
Answer:
speed = distance÷time 48.7÷1.2 = 40.58
Please help this is algebra one
Answer:
B
Step-by-step explanation:
When x is equal to 0, you look at the graph and you get y is equal to 3, which is choice B
Estimate the sum using front end estimation.
546+ 412
A) 900
OB) 950
OC) 960
OD) 1000
Answer:546 +412 Is 958
Step-by-step explanation:
