Answer:
The volume of each cube is one cubic centimetre so the volume of the rectangular prism above is 60 cubic centimetres, or 60 cm3.The volume of each cube is one cubic centimetre so the volume of the rectangular prism above is 60 cubic centimetres, or 60 cm3.
help me with this please
Answer:
You would choose Merry Berry Fruit Punch.
Step-by-step explanation:
We need to see the ration of fruit to water. To do this we need to divide the concentrate by the water.
Tropic Fresh Fruit Punch: 10/22 or 5/11
Merry Berry Fruit Punch: 6/13
We see that Tropic Fresh Fruit Punch has a ratio of 5/11 while Merry Berry Fruit Punch has a ratio of 6/13. When we have a common denominater, we can see the difference easier.
Tropic Fresh Fruit Punch: 65/143
Merry Berry Fruit Punch: 66/143
Si: Tg θ =√2 ∧ θ es agudo √7 Calcular: A = 3(Sen θ + Cos θ) - √7
Answer:
[tex]A \approx 1.488[/tex]
Step-by-step explanation:
Por definición de razones trigonométricas, tenemos las siguientes identidades:
[tex]\tan \theta = \frac{y}{x} = \sqrt{2}[/tex] (1)
[tex]\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex] (2)
[tex]\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (3)
Si [tex]\theta[/tex] es agudo, entonces [tex]x, y > 0[/tex].
De (1), suponemos [tex]x = 1[/tex] que [tex]y = \sqrt{2}[/tex], entonces los valores de las funciones seno y coseno:
[tex]\sin \theta = \frac{\sqrt{2}}{\sqrt{5}} = \sqrt{\frac{2}{5} }[/tex]
[tex]\sin \theta = \frac{\sqrt{10}}{5 }[/tex]
[tex]\cos \theta = \sqrt{\frac{1}{5} }[/tex]
[tex]\cos \theta = \frac{\sqrt{5}}{5}[/tex]
Por último, calculemos [tex]A[/tex]:
[tex]A = 3\cdot \left(\frac{\sqrt{10}}{5} + \frac{\sqrt{5}}{5} \right) - \sqrt{7}[/tex]
[tex]A \approx 1.488[/tex]
Derive the equation of the parabola with a focus at (0, 1) and a directrix of y = -1.c
Answer:
[tex]\displaystyle y=\frac{1}{4}x^2[/tex]
Step-by-step explanation:
Let (x, y) be a point on the parabola.
By definition, any point on the parabola is equidistant from the focus and the directrix
The distance from the focus is given by:
[tex]\begin{aligned} d&=\sqrt{(x-0)^2+(y-1)^2\\\\&=\sqrt{x^2+(y-1)^2}\end{aligned}[/tex]
The distance from the directrix is given by:
[tex]d=|y-(-1)|=|y+1|\text{ or } |-1-y|[/tex]
So:
[tex]\sqrt{x^2+(y-1)^2}=|y+1|^[/tex]
Square both sides. Since anything squared is positive, we can remove the absolute value:
[tex]x^2+(y-1)^2=(y+1)^2[/tex]
Square:
[tex]x^2+(y^2-2y+1)=y^2+2y+1[/tex]
Hence:
[tex]x^2=4y[/tex]
So, our equation is:
[tex]\displaystyle y=\frac{1}{4}x^2[/tex]
6. The diagram on the right shows right-angled triangles POR
and PRS. Given that tan 0 =
3
4
in em, the length of
(a) PR
(b) RS
Q
9 cm
R
Answer:
The answer is below
Step-by-step explanation:
Trigonometric ratios shows the relationship between the sides of a right angled triangle and its angles. Some trigonometric ratios are:
sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse; tanθ = opposite / adjacent.
In triangle PQR:
tanθ = QR / PQ
substituting gives:
3/4 = 9 / PQ
PQ = 9 * 4 / 3 = 12 cm
Applying Pythagoras in triangle PQR gives:
PR² = PQ² + QR²
PR² = 12² + 9²
PR² = 144 + 81 = 225
PR = 15 cm
Also in triangle PRS:
PS = (5/3)PR = (5/3)*15 = 25 cm
PS² = PR² + RS²
25² = 15² + RS²
625 = 225 + RS²
RS² = 400
RS = 20 cm
If the grain pile has a diameter of 60 feet and a height of 13 feet, what is the volume of the grain pile?
Answer:
36,738
Step-by-step explanation:
The first step is to calculate the radius
= 60/2
= 30
Therefore the volume can be calculated as follows
= πr^2h
= 3.142 × 30^2 × 13
= 3.14× 900×13
= 36,738 cubit feet
Hence the volume of the grain pile is 36,738 cubic feet
What is the direct variation between x and y when x=7 and y=3 1/2?
Answer:
[tex]{ \tt{y \: \alpha \: x }} \\ { \tt{y = kx}} \\ \\ { \bf{3 \frac{1}{2} = k \times 7 }} \\ { \bf{k = \frac{1}{2} }} \\ \\ { \tt{y = \frac{1}{2}x }} \\ \\ { \tt{y = 0.5x}}[/tex]
A factory makes orange paint by mixing red paint and yellow paint in the ratio 7:2. The factory makes 2700 litres of orange paint every day. How many litres of yellow paint does the factory use every day?
Answer:
2700÷9=300
300×2=600liters yellow paint
The record for the largest scoop of ice cream was made in Wisconsin. Thebscoop of ice cream was 3,010 pounds! How many ounces of ice cream is that?
Answer:
48160
Step-by-step explanation:
Rearrange the formula to make x the subject.
y = x -5
Answer:
[tex]x=y+5[/tex]
Step-by-step explanation:
[tex]y=x-5[/tex]
[tex]y+5=x[/tex]
[tex]x=y+5[/tex]
solve it : -
[tex] \sqrt{27 \times3 } [/tex]
_______
Answer:
9
Step-by-step explanation:
sqrt(27*3)
sqrt(81)
sqrt(9*9)
9
Answer:
9
Step-by-step explanation:
27 * 3 = 81
√81 = 9
30 POINTS + BRAINLIEST!!! PLEASE HELP ASAP!!!
Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "Cannot be determined" in place of the rule.
Answer:
CNBD
Step-by-step explanation:
From the diagram, we can see that:
[tex]\displaystyle BL\parallel CA[/tex]
Then by Alternate Interior Angles:
[tex]\angle LBA\cong \angle CAB\text{ and } \angle BLC\cong \angle ACL[/tex]
From vertical angles, we also know that:
[tex]\displaystyle \angle BKL\cong \angle AKC[/tex]
This is all we can gather from the given image. Knowing only three pairs of angles cannot prove congruence, as proving congruence requires at least one side.
Congruence cannot be determined.
Answer:
Cannot be determined
Step-by-step explanation:
With BL and AC being parallel, we can deduce that the two triangles in question share all three of their angles. However, there is no information given that implies any of the sides are equal. AAA (Angle-Angle-Angle) is a proof of similarity, but not congruence, therefore the two triangles cannot be determined to be congruent.
Victor also saw a jacket he liked while he was shopping. The jacket has a price tag of $75.00 and was marked for 30% off. How much money will the jacket cost after the sale?
Respuesta:
$ 52.5
Explicación paso a paso:
Dado
Costo de la chaqueta = $ 75
Mark off = 30%
Descuento = 30% de $ 75
Precio de descuento = 0,3 * 75
Precio de descuento = $ 22.5
Costo después de la venta = $ 75 - $ 22.5
Costo después de la venta = $ 52.5
Por lo tanto, el costo después de la venta es de $ 52.5
PLEASE HELP ASAP ILL MARK BRAINLIEST.!!!
i only need these 2 and I’m done with math.!!!
Answer:
663902.4
11 pavers
Step-by-step explanation:
V = l × w × h
V = 164 × 82 × 6.6
V =
**********************************
The Swimming pool is a
rectangular prism. Write
the formula for its volume
and calculate it.
l...length of this prism
w...width of this prism
h...height of this prism
V ...volume
*********************************
To know how many
gallons are in the pool,
multiply the volume by
the number of gallons
in gal...number of
gallons
********************************
gal = 88757 × 7.48
gal = 663902.4
********************************
First to not confuse
anybody on this, we need
to convert the meters into
centimeters.
Rule: 1 m = 100 cm
3 m = 300 cm
2.5 m = 250 cm
********************************
so for every meter, we
multiply 100 to get the
amount of centimeters
********************************
so then add the
centimeters of 3 m and
2.5 m
Answer: 550 cm
so then now compare
the measurings...
3 m = 300 cm
50cm × y = 300cm
50cm × 6 = 300cm
y = 6
2.5 m = 250 cm
50cm × y = 250cm
50cm × 5 = 250cm
y = 5
6 + 5 = 11 pavers
so Oliver will need 11 pavers
PLEASE HELP Assume the line of best fit for a data set is given by y = 32x+ 25. What data
points are predicted by the line of best fit? Check all that apply.
A. (9,326)
B. (10,345)
C. (7,224)
D. (6,217)
Answer:
B
Step-by-step explanation:
the answer is B
If you substitute 10 in the equation
32(9)+25=345
Answer:
B and D
Step-by-step explanation:
Substitute the values in y = 32x+ 25
A. 9, 326
326=32(9)+25
326 don't equal to 315
A is not
B. 10, 345
345=32(10)+25
345=345
B is a point on the line of best fit.
C. (7,224)
244= 32(7)+ 25
244 don't equal to 249
D. (6,217)
217= 32(6)+ 25
217=217
D is a point on the line of best fit.
Brainliest please
Which is the graph of g(x) = [x+3]?
pls answer this question correctly pls .
Answer:
Step-by-step explanation:
Fraction Decimal Percentage
[tex]\frac{19}{100}[/tex] [tex]0.19[/tex] [tex]19 \%[/tex]
[tex]\frac{3}{10}[/tex] [tex]0.3[/tex] [tex]3 0\%[/tex]
[tex]\frac{49}{100}[/tex] [tex]0.49[/tex] [tex]49 \%[/tex]
[tex]\frac{7}{100}[/tex] [tex]0.07[/tex] [tex]7 \%[/tex]
Answer:
First row: 19%
Decimal for 3/10: 0.3
Fraction for 0.49: 49/100
Percentage for 0.49: 49%
Decimal for 7/100: 0.07
Fraction for 7/100: 7&
Also 3% should be 30%. Just to point that out :)
Which transformation performed on Triangle PQR will create an image Triangle P'Q'R' contained entirely in Quadrant II?
A
a counter-clockwise rotation of 90 degrees about the origin
B
a reflection over the x-axis
C
a reflection over the y-axis
D
a translation of 2 units to the left
Select the elements in H.
Let H = {cube numbers}
A-8
B-49
C-3
D-125
E-1
F-100
G-25
H-12
Answer:
H={8,125,1}
Step by step explanation:
8 is the cube of 2125 is the cube of 51 is the cube of 1What is v6/v5 in simplest radical form?
Answer: [tex]\sqrt{30}/5[/tex]
Step-by-step explanation:
You should get this answer because the simpliest form of a radical is that you shouldn't have any radical in the denominator. In order to get rid of the radical sign in the denominator, you have to multiply the numerator and the denominator with the [tex]\sqrt{5}[/tex].
Look at the image below for further explanation
help please on all of these
the answer is on the picture
quiere cercar con alambre un terreno rectangular que mide 180 m (metros) de largo por 85 m de ancho.¿cuantos metros de alambre necesita? ¿Con qué concepto matemático relacionas esta situación?
You want to wire a rectangular piece of land that is 180 m (meters) long by 85 m wide. How many meters of wire do you need? With what mathematical concept do you relate this situation?
Answer:
The wire required to fence is 530 m.
Step-by-step explanation:
Length, L = 180 m
Width, W = 85 m
The perimeter of the wire is
P = 2 (L + W)
P = 2 (180 + 85)
P = 530 m
So, the wire required to fence is 530 m.
As a salesperson at Trading Cards Unlimited, Justin receives a monthly base pay plus commission on all that he sells. If he sells $500 worth of merchandise in one month, he is paid $410. If he sells $900 of merchandise in one month, he is paid $498.
Answer:
Justin's salary will be $1048 when he sells $3400 worth of merchandise.
Step-by-step explanation:
If the salesperson receives a monthly base pay and the commission on the sales expression that represents his monthly pay,
y = B + C(x)
Here y = Monthly pay
B = Base pay
C = percentage of commission
x = Amount of sales done
If he sells $500 worth of merchandise in a month, he earns $410,
410 = B + C(500) -----(1)
If he sells $900 worth of merchandise in a month, he earns $498,
498 = B + C(900) ------(2)
By subtracting equation (1) from equation (2),
498 - 410 = 900C - 500C
88 = 400C
C = [tex]\frac{88}{400}[/tex]
C = 0.22
From equation (1),
410 = B + 0.22(500)
B = 410 - 110
B = $300
Therefore, expression for the monthly earning will be,
y = 300 + 0.22(x)
Justin's salary when he sells $3400 worth of merchandise in a month,
y = 300 + 0.22(3400)
y = 300 + 748
y = $1048
Therefore, Justin's salary will be $1048.
A car left the house traveling north at 10 A.M. Another car left the house traveling south two hours later. If the cars traveled at the same rate and were 550 miles apart at 4 P.M , what was the rate of each car.
Answer:
55 mph
Step-by-step explanation:
What else would need to be congruent to show that ABC= DEF by ASA?
B
E
10
10
45
A
с
45
F
O A. ZBE ZE
B. AC = DF
C. ZA ZD
O D. BC = EF
Answer:
Option A
then you would have an angle, a side and another angle (ASA) next to each other
Opt.B would be a second sude (SAS)
Opt.C is already given
Opt.D seems to be like (A-S-S). no pun intended.
The additional information need to be added to show the given triangles congruent is angle B = angle E
What are congruent triangles?Triangles are said to be congruent if their corresponding sides and angles are congruent.
Given is a pair of triangles, Δ ABC and Δ DEF, in this angle A = angle D and AB = DE = 10,
We need to find one more reason to make them congruent by ASA rule,
In ASA rule of congruence, we have two corresponding angles congruent in the triangles and a side between them need to be congruent,
Here, the pair of two angles should be ∠ A and ∠ D and ∠ B and ∠ E, because the congruent sides AB and DE are in mid of them.
Hence, the additional information need to be added to show the given triangles congruent is angle B = angle E
Learn more about triangles congruent click;
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Which of the following steps were applied to ABCD to obtain A'B'C'D
Answer:
B. 3 units right and 4 units up
The correct steps were applied to ABCD to obtain A'B'C'D is,
⇒ 3 units right and 4 units up
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
We have to given that;
Translation applied to ABCD to obtain A'B'C'D.
Now, We get;
Coordinate of A = (2, 3)
Coordinate of A' = (5, 7) = (2 + 3, 3 + 4)
Hence, The correct steps were applied to ABCD to obtain A'B'C'D is,
⇒ 3 units right and 4 units up
Learn more about the transformation visit:
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The expression x^2 - 10x + 24 is equivalent to
Answer:
[tex](x−6)(x−4)[/tex]
Step-by-step explanation:
[tex]x^2 - 10x + 24[/tex]
[tex] {x}^{2} −6x−4x+24[/tex]
[tex]x(x−6)−4(x−6)[/tex]
[tex](x−6)(x−4)[/tex]
Hope it is helpful...Answer:
(x - 4 )(x - 6 )
Step-by-step explanation:
[tex]x^2 - 10x + 24 \\\\=x^2 - 6x - 4x +24 \\\\=x(x - 6) -4(x - 6) \\\\=(x - 4)(x-6) \\[/tex]
The two cross sections shown are taken parallel to their respective bases. The cross sections have the same area. If the heights of the two solids are equal, find the volume of the cylinder. Round your answer to the nearest hundredth. A. 465.10cm3 B. Please select the best answer from the choices provided A B C D
Answer:
489.40 cm³
Step-by-step explanation:
Since the cross section is parallel to their respective bases, hence:
Area of the cylinder cross section = area of the circular base = πr²
where r is the radius of the cylinder base.
Area of other cross section = area of rectangle base = 3.8 cm * 8.1 cm
Since both cross sections have same area, hence:
Area of cylinder cross section = Area of rectangle base
πr² = 8.1 * 3.8
r² = 9.8
r = 3.1 cm
Volume of the cylinder = πr²h = π(3.1)²(15.9) = 489.40 cm³
Which of the following are solutions to the quadratic equation? Check all that
apply.
x2 + 8x + 16 = 7
Answer:
x=-9/10
Step-by-step explanation:
2x+8x+16=7
Step 1: Simplify both sides of the equation.
2x+8x+16=7
(2x+8x)+(16)=7(Combine Like Terms)
10x+16=7
10x+16=7
Step 2: Subtract 16 from both sides.
10x+16−16=7−16
10x=−9
Step 3: Divide both sides by 10.
10x/10
=
−9/10
x=-9/10
Answer:
x = - 4 ± [tex]\sqrt{7}[/tex]
Step-by-step explanation:
Given
x² + 8x + 16 = 7 ( subtract 16 from both sides )
x² + 8x = - 9
Using the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(4)x + 16 = - 9 + 16
(x + 4)² = 7 ( take the square root of both sides )
x + 4 = ± [tex]\sqrt{7}[/tex] ( subtract 4 from both sides )
x = - 4 ± [tex]\sqrt{7}[/tex]
Then
solutions are x = - 4 - [tex]\sqrt{7}[/tex] , x = - 4 + [tex]\sqrt{7}[/tex]
[tex]3 \sqrt{10} + \sqrt{9} - 4\sqrt{17} [/tex]
please help with this equation
a rack bought for rs.8000 and sold at 15% loss, find selling price
Answer:
Rs 6800
Step-by-step explanation:
Hope this helps
