Answer:
She knows there are 30 unit cubes in the bottom layer. Since the height is 4, there are 4 layers of 30 cubes each. She should multiply 4 times 30 = 120. The volume is 120 cubic units.
Step-by-step explanation:
The way to figure it out is by taking the prism and just making it a rectangle, which menas that it is just 6 by 5, and then when you multiply those together you get 30 which means that one layer, or the bottom layer, is 30 and not 11. Then you have only 3 more layers left and that means that means that you need 120 unit cubes to fill up the prism.
what transformation rule represents (-x,-y)
Answer:
Reflection across the x-axis.
what is the direction of the vector line w = (-1,6)
Answer:
Step-by-step explanation:
direction=y-component/x-component
tan theta =6/-1
tan theta=-6
theta=[tex]tan^{-1}[/tex]-6
theta=180 -80.53
theta=99.47°
therefore the direction of the given vector line is 99.47°
Given that √5=2.24 and √7.07, find the value of
(a) √0.05
(b)√0.0005
(c)√0.5
(d)√0.005
Answer:
0.05 = 5/100
sqrt(0.05] = sqrt(5/100) = sqrt(5)/sqrt(100) = 2.24/10 = 0.224
0.0005 = 5/10000
sqrt [0.0005) = sqrt(5/10000) = sqrt(5)/sqrt(10000) =
= 2.24/100 = 0.0224
0.5 = 50/100
sqrt(0.5) = sqrt(50/100) = sqrt(50)/sqrt(100) = 7.07/10 =
= 0.707
0.005 = 50/10000
sqrt(0.005) = sqrt(50/10000) = sqrt(50)/sqrt(10000) =
= 7.07/100 = 0.0707
Step-by-step explanation:
it would be nice, if you could truly type the full and real question.
you mean sqrt(50) = 7.07
right ?
this assumption leads to the answers above.
What is the solution set for -2n – 2 > 2?
Answer:
n < -2
Step-by-step explanation:
-2n – 2 > 2
-2n (– 2 + 2) > 2 + 2
-2n > 4
-2n/-2 > 4/-2
n < -2
1+2+4-5= -5+4+2+1
A) True
B False
Answer:
True
Step-by-step explanation:
same numbers on both sides = equivalent expression
1+2+4 = 7
7-5 = 2
So the first side is 2
-5 + 4 = -1
-1 + 2 + 1 = 2
So the second side is 2
Simplified, this is 2 = 2
This is TRUE because this is an equivalent expression, demonstrated by the equal sign.
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Maya is flying a kite, holding her hands a distance of 3.5 feet above the ground and letting all the kite’s string play out. She measures the angle of elevation from her hand to the kite to be 34^{\circ}
∘
. If the string from the kite to her hand is 125 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.
Answer:
The kite is 73.4 feet above the ground.
Step-by-step explanation:
125 sin 34=
Cross multiply.
x=69.899112...
x=69.899112...
{Add 3.5, the distance from the ground to her hand:}
Add 3.5, the distance from the ground to her hand:
69.899112...+3.5=
73.399112...
The kite is 73.4 feet above the ground.
A right angled triangle is a triangle (has three sides and three angles) in which one of the angles measure 90°.
Trigonometric ratios is used to show the relationship between the sides of the right angled triangle and its angles.
Let h represent the perpendicular distance from the top of the kite to her hand. The angle of elevation = 34°. Hence:
sin(34) = h/125
h = 69.9 feet
The distance from the kite to the ground = 69.9 + 3.5 = 73.4 feet
Find out more at: https://brainly.com/question/3770177
Match each expression with its sum or difference
Answer:
1-4=-3
-1-4=-5
-1+4=3
1-|-4|=5
Answer:
[tex]1-4=-3\\-1-4=-5\\-1+4=3\\1-(-4)=5[/tex]
Step-by-step explanation:
The hardest part about negative numbers in addition is remembering when to add, rather than subtract. In the last equation, we add the numbers together, because the negative sign cancels out with subtraction. All of the other equations we can follow exactly what it says to do, because there are no minus signs right next to each other.
Can you please solve this answer ...
9514 1404 393
Answer:
∠SPR = 48°
Step-by-step explanation:
The relevant relations are ...
an inscribed angle is half the measure of the arc it interceptsa triangle inscribed in a semicircle is a right trianglean exterior angle is equal to the sum of the remote interior angles of a triangleSince PR is a diameter, triangle PQR is a right triangle with angle PQR being the right angle.
This makes ∠PRQ complementary to ∠RPQ:
∠PRQ = 90° -28° = 62°
Exterior angle RTS is the sum of interior angles TRQ and TQR, so angle TQR can be found to be ...
110° = 62° +∠TQR
∠TQR = 110° -62° = 48° = ∠SQR
__
Angle TQR, also angle SQR, subtends arc SR, so is the same measure as angle SPR, which also subtends the same arc.
∠SPR = 48°
I need a fast reply please
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \:A. \:- 8 {b}^{4} + 10 {b}^{3} + 10b}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex](7b + 7 {b}^{3} - 6 {b}^{4} ) + (3 {b}^{3} + 3b - 2 {b}^{4} )[/tex]
➼[tex] \: 7b + 7 {b}^{3} - 6 {b}^{4} + 3 {b}^{3} + 3b - 2 {b}^{4} [/tex]
Combining like terms, we have
➼[tex] \: - 6 {b}^{4} - 2 {b}^{4} + 7 {b}^{3} + 3 {b}^{3} + 7b + 3b[/tex]
➼[tex] \: - 8 {b}^{4} + 10 {b}^{3} + 10b[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
68. Find the volume of this square-based
pyramid. (meters)
A. 810 m2
B. 270 m2
C. 405 m3
D. 180 m3
E. 60 m
Answer:
270 m^2
Step-by-step explanation:
1. Write down your formula. It is V= 1/3 Bh
2. Plug in your numbers. Your new formula is V= 1/3 (81)(10)
3. Simplify the expression to get 270.
Samuel, Martín y Santiago salen a montar bicicleta de Cali hacia Palmira. La distancia entre Cali y Palmira es de 29.3 KM. En la siguiente tabla se muestra los km que lograron realizar cada uno. Samuel izo 178/8 km , martin 21 3/4 km y santiago 21 5/12 ¿Quien recorrio mas distancia? ¿Cuantos km les falto a cada uno para llegar a palmira? ¿en promedio cuantos km recorrieron entre los 3 amigos? ¿¿Cuántos kilometros recorrió más Martín que Santiago? AYUDDAAAAAAAAaaaaaaa
Answer:
a) Martín recorrió más distancia, b) A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente, c) La distancia recorrida promedio es 21.889 kilómetros, d) Martín recorrió 0.333 kilómetros más que Santiago.
Step-by-step explanation:
a) En primer lugar, convertimos la distancia recorrida por cada persona a su forma decimal:
Samuel
[tex]\frac{178}{8}\,km = 22.25\,km[/tex]
Martin
[tex]21\,km + \frac{3}{4}\,km = 21.75\,km[/tex]
Santiago
[tex]21\,km + \frac{5}{12}\,km = 21.417\,km[/tex]
Como puede apreciarse, Martín recorrió más distancia.
b) La distancia faltante es igual a la sustracción de la distancia recorrida por la persona a la distancia total:
Samuel
[tex]x = 29.3\,km -22.25\,km[/tex]
[tex]x = 7.05\,km[/tex]
Martin
[tex]x = 29.3\,km - 21.75\,km[/tex]
[tex]x = 7.55\,cm[/tex]
Santiago
[tex]x = 29.3\,km - 21.417\,km[/tex]
[tex]x = 7.883\,km[/tex]
A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente.
c) La distancia recorrida promedio se obtiene sumando las distancias recorridas de las tres personas y dividiendo el resultado por la cantidad de personas:
[tex]\bar{x} = \frac{22.5\,km + 21.75\,km + 21.417\,km}{3}[/tex]
[tex]\bar x = 21.889\,km[/tex]
La distancia recorrida promedio es 21.889 kilómetros.
d) Esta diferencia se encuentra a restar la distancia recorrida por Santiago a la distancia recorrida por Martín:
[tex]x = 21.75\,km - 21.417\,km[/tex]
[tex]x = 0.333\,km[/tex]
Martín recorrió 0.333 kilómetros más que Santiago.
A 45 gram sample of a substance that's used to sterilize surgical equipment has a
K-value of 0.1483.
Find the substance's half-life, in days. Round your answer to the nearest tenth.
Answer:
Answer:
t = 4.7 days
Step-by-step explanation:
The half life formula is
N = No * e ^ (-kt)
Where No is the initial amount of the substance
N = 45 e ^ (-.1483 t)
We want 1/2 of the substance left
22.5 is half of 45 grams
22.5 = 45 e ^ (-.1483 t)
Divide each side by 45
1/2 = e ^ (-.1483 t)
Take the natural log of each side
ln(1/2) = ln (e ^ (-.1483 t))
ln(1/2) = -.1483t
Divide each side by -.1483
ln(1/2) / -.1483 = t
t=4.67395
Rounding to the nearest tenth
t = 4.7 days
What is the area of the triangle?
12
8
Answer:
48
Step-by-step explanation:
Answer:
48 un²
Step-by-step explanation:
1/2 ( base x height)
1/2( 12 x 8 )
1/2( 96 )
48
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Jenna is a 6th grader at CMS. Jenna was told her mean score on social studies quizzes was 94. She remembered getting scores of 97, 88, 90, and 95, but she knew she had taken 5 quizzes. What was her fifth quiz score?
Answer: 100
Step-by-step explanation:
Since she had a mean score of 94 in her 5 tests, then the total score will be:
= 94 × 5
= 470
Since she She remembered getting scores of 97, 88, 90, and 95, for 4 quizzes out of 5 quizzes, the total of the four quizzes will be:
= 97 + 88 + 90 + 95
= 370
Then, her 5th quiz will be:
= 470 - 370
= 100
The figure below shows some angles what is the measure of L ABD?
A, 46
B, 56
C, 90
D, 100
Answer:
90
Step-by-step explanation:
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Answer:
C. 32 3/8
Step-by-step explanation:
First, divide the fraction and the 4 into two equations. This makes 7 x 4 and 7 x 5/8. Then multiply both to get 28 and 35/8. Then convert 35/8 into a mixed number to get 4 3/8. Then add 28 + 4 3/8 to get 32 3/8.
Answer:
it would be choice 3
3⅜
Step-by-step explanation:
hope it helps you :)
What is the equation of the asymptote for the exponential function shown on the graph?
Answer:
B) y=0
Step-by-step explanation:
The exponential function shown has a horizontal asymptote at the line y=0, which means that y will approach 0 as the value of x decreases. Therefore, B is correct.
solve for x round to the nearest tenth if necessary
Answer:
Step-by-step explanation:
take 60 degree as reference angle
using cos rule
cos 60 = adjacent / hypotenuse
1/2 = 80/x
do cross multiplication
2*80 = x
160 = x
160.0 = x
a package of buttons contains 6 red 3 blue and 7 white P(white buttons) Calculate the probability of the event
how to find x in 64°,50° and 2x
Answer:
x = 33 degree
Step-by-step explanation:
angles of a triangle = 64 degree , 50 degree , 2x
64 + 50 + 2x = 180 degree (sum of interior angles of a triangle)
114 + 2x = 180
2x = 180 - 114
x = 66/2
x = 33 degree
to find 2x
=2*33
=66 degree
Answer:
33
Step-by-step explanation:
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a bag contains 517.6 g of dollar coins. Each coin has a mass of 8.1 g
Answer:
63 coins
Step-by-step explanation:
I am going to assume you are asking how many dollar coins are in the bag, I apologize if I am wrong.
So first, set up the problem. The total number is 517.6 and each coin weighs 8.1
So you would divide 517.6 by 8.1 to get 63.9012346 (which has too many decimal points so round)
But rounding up would get the wrong number because it would be too light for the amount of coins said to be in there, but rounding down gives you 63.
So 63 times 8.1 is 510.3 and the total could consider the weight of the bag into the total 517.6.
The perimeter of a triangle is 63m. Two of the sides are 20cm and 27cm. What is the length of the third side.
Answer:
16cm
Step-by-step explanation:
63 = 20 + 27 + x
Are the only bases that I need to use 2 and 4 along with the height 2.5 and I just ignore the 3?
Answer:
[tex]7.5\ units^2[/tex]
Step-by-step explanation:
The formula to find the area of a trapezoid is the following,
[tex]A=(h)(\frac{(b_1)+(b_2)}{2})[/tex]
Where ([tex]h[/tex]) represents the heights of the trapezoid, ([tex]b_1[/tex]) and ([tex]b_2[/tex]) represent the bases of the trapezoid, or rather the two parallel sides of the trapezoid.
One is given all of these values in the picture,
[tex]h = 2.5\\\\b_1 = 2\\\\b_2 = 4[/tex]
Substitute these values into the formula and solve for the area of the trapezoid,
[tex]A=(2.5)(\frac{(2)+(4)}{2})[/tex]
Simplify,
[tex]=(2.5)(\frac{6}{2})\\=(2.5)(3)\\=7.5[/tex]
Rahal is adding the Epression below. -3+[(-7)+(-6)] First he rewrites the expression. [3+(-7)]+(6) Which number property did Rashal use to rewrite the expressio?
Note: The second expression must be [tex][(-3)+(-7)]+(-6)[/tex] instead of [tex][3+(-7)]+(6)[/tex]
Given:
The given expression is:
[tex]-3+[(-7)+(-6)][/tex]
Rahal rewrites the expression as:
[tex][(-3)+(-7)]+(-6)[/tex]
To find:
The property that Rahal use to rewrite the expression.
Solution:
According to the associative property of addition, if a, b and c are three real numbers, then
[tex]a+(b+c)=(a+b)+c[/tex]
We have,
[tex]-3+[(-7)+(-6)][/tex]
Using the associative property of addition, we get
[tex]-3+[(-7)+(-6)]=[(-3)+(-7)]+(-6)[/tex]
Therefore, the required property is associative property of addition.
What is an equivalent expression to 6(a+b)?
Answer:
6a+6b
by distributive property
Step-by-step explanation:
Answer:
6a+6b
Step-by-step explanation:
6(a+b)
Use the distributive property to multiply 6 by a+b.
6a+6b
What is the value of x?
Enter your answer in the box.
x =
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Given,
The figure given is a rectangle. So, we know that the parallel (opposite) sides of a rectangle are equal to each other.
[tex]•°• \: \: 40 = 5x + 10 \\ 40 - 10 = 5x \\ 30 = 5x \\ \frac{30}{5} = x \\ 6 = x[/tex]
✐ The value of x is 6.
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# ꧁❣ RainbowSalt2²2² ࿐
The expression wA - 36 is equivalent to
Answer:
4. (w² + 6)(w² - 6)
Step-by-step explanation:
w^4 - 36
(w² + 6)(w² - 6)
Help
Nxhxhxhdhdhdbsbsbdhdhd
I could use some help on this
Answer:
the answer is B