Solve the inequality below for a.
4a - 7 <2a + 1
A.a>1 B. a < 4
C. a<1 D.a > 4

Answer:

10/3 cubic units (proof below!)

Step-by-step explanation:

The volume of pyramid is, 10/3 cubic units

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Here, We have;

Volume of triangular prism = Base area x Height

                                          = 10

And, Volume of triangular pyramid = 1/3 x Base area x Height

Since, The triangular pyramid has a congruent base and the same height.

Hence, The volume of pyramid = 1/3 x 10

                                                 = 10/3 cubic units

Thus, The volume of pyramid is, 10/3 cubic units

Learn more about the multiplication visit:

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Answer:

Hello! answer: 6.25

Step-by-step explanation:

With these we will cross multiply so 12.5 × 3.6 = 45 so now that we have that we can just divide by 7.2 for h! so... 45 ÷ 7.2 = 6.25 so h = 6.25 HOPE THAT HELPS and heres a visual picture

x^( 2a - b ) + ( 2b + c ) + ( 2c + a ) =

x^2a + a + 2b - b + 2c + c =

x^3a - b + 3c

Step-by-step explanation:

Simply add the exponents after combining the bases

[tex] {x}^{2a - b} \times {x}^{2b - c} \times {x}^{2c + a} [/tex]

[tex] = {x}^{2a - b + 2b - c + 2c + a} [/tex]

[tex] = {x}^{3a + b + 3c} [/tex]

D is correct answer

±8√2

Answer:  12x+12/24=144

Step-by-step explanation:

this is a very vague question but heres my best nguees

Answer:

2/6 x 3/4 = 6/24

Step-by-step explanation:

Answer:

[tex] Total \:area\approx 290.5\: ft^2 [/tex]

Step-by-step explanation:

Total area [tex] =\frac {1}{2} \pi r_1^2 +\frac {1}{2} \pi r_2^2 [/tex]

(where [tex] r_1 = 22/2 = 11 \: ft, \: \:\:r_2 = (30-22)/2 = 4 \: ft[/tex])

[tex]\therefore Total \:area=\frac {1}{2} \pi( r_1^2 + r_2^2) [/tex]

[tex]\therefore Total \:area=\frac {1}{2} \times 3.14(11^2 + 8^2) [/tex]

[tex]\therefore Total \:area=1.57(121 + 64) [/tex]

[tex]\therefore Total \:area=1.57(185) [/tex]

[tex]\therefore Total \:area=290.45\: ft^2 [/tex]

[tex]\therefore Total \:area\approx 290.5\: ft^2 [/tex]

Answer:

C and D

Step-by-step explanation:

Answer:

x = 154°

Step-by-step explanation:

The 4 interior angles of the quadrilateral sum to 360°

The angles between the tangents and the radii = 90°

Then

x = 360° - (90 + 90 + 26)° = 360° - 206° = 154°

Answer:

Step-by-step explanation:

50

Answer:

i think you have to figure out if the lines are parallel

Step-by-step explanation:

Answer:

x = 35

y = 17.5

Step-by-step explanation:

By Central angle and its corresponding arc theorem:

x° = 360° - (175° + 150°)

x° = 360° - 325°

x° = 35°

x = 35

By inscribed angle theorem:

[tex]y \degree = \frac{1}{2} x \\ \\ y\degree = \frac{1}{2} \times 35 \degree \\ \\ y\degree = 17.5 \degree \\ \\ y \: = 17.5[/tex]

Answer:

x=35         y=17.5

Step-by-step explanation:

This problem wants you to find the angles of an inscribed and central angle.

Note: central angles are angles that have radii as there sides and the center (of the circle) as its center. Inscribed angles are angles that have chords as there sides and there vertex as a point on a circle.

I will by find the measure of the missing arc. To do this is simple, Just add 175+150 and subtract from 360,

175+150= 325          

360-325=35

So, the missing arc length is 35. X is a central angle and central angles are equal to the arc length. This means that,

x=35

Lastly, we need to find y, an inscribed angle. Inscribed angles are half of the arc length. So, the measure of y is 17.5

y=17.5

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

The measure of an inscribed angle of a circle is exactly half the measure of the arc it forms.

Therefore, we have the following equation:

[tex]2(3x+25)=5x+60,\\6x+50=5x+60,\\x=\boxed{10}[/tex]

Answer:

Step-by-step explanation:

the answer for my flvs students is  g(x), h(x), f(x)

Step-by-step explanation:

i just took the test

Answer:

exponential i think

Step-by-step explanation:

Answer:

Exponential.

Step-by-step explanation:

Notice how each time the x goes up by one, the y multiplies by 2.

Hi there! Use the following identities below to help with your problem.

[tex] \large \boxed{sin \theta = tan \theta cos \theta} \\ \large \boxed{tan^{2} \theta + 1 = {sec}^{2} \theta}[/tex]

What we know is our tangent value. We are going to use the tan²θ+1 = sec²θ to find the value of cosθ. Substitute tanθ = 4 in the second identity.

[tex] \large{ {4}^{2} + 1 = {sec}^{2} \theta } \\ \large{16 + 1 = {sec}^{2} \theta } \\ \large{ {sec}^{2} \theta = 17}[/tex]

As we know, sec²θ = 1/cos²θ.

[tex] \large \boxed{sec \theta = \frac{1}{cos \theta} } \\ \large \boxed{ {sec}^{2} \theta = \frac{1}{ {cos}^{2} \theta} }[/tex]

And thus,

[tex] \large{ {cos}^{2} \theta = \frac{1}{17}} \\ \large{cos \theta = \frac{ \sqrt{1} }{ \sqrt{17} } } \\ \large{cos \theta = \frac{1}{ \sqrt{17} } \longrightarrow \frac{ \sqrt{17} }{17} }[/tex]

Since the given domain is 180° < θ < 360°. Thus, the cosθ < 0.

[tex] \large{cos \theta = \cancel\frac{ \sqrt{17} }{17} \longrightarrow cos \theta = - \frac{ \sqrt{17} }{17}}[/tex]

Then use the Identity of sinθ = tanθcosθ to find the sinθ.

[tex] \large{sin \theta = 4 \times ( - \frac{ \sqrt{17} }{17}) } \\ \large{sin \theta = - \frac{4 \sqrt{17} }{17} }[/tex]

Answer

Answer:

A) $0.21

B) $0.13

C) B is the better buy by $0.08/oz

Step-by-step explanation:

A) 3.30 ÷ 16 = 0.20625 = $0.21

B) 8.60 ÷ 64 = 0.134375 = $0.13

C) $0.21 - $0.13 = $0.08 difference/ounce

Answer:b

Step-by-step explanation:

Let's simplify the ratio

[tex]\\ \sf\longmapsto 15:12[/tex]

[tex]\\ \sf\longmapsto \dfrac{15}{12}[/tex]

[tex]\\ \sf\longmapsto \dfrac{5}{4}[/tex]

[tex]\\ \sf\longmapsto 5:4[/tex]

Answer:

12

Step-by-step explanation:

I forgot Sorry

Answer:

The answer is 7/8.

You can simply bring 9⅛ to the left hand side

You'll have your answer .

To verify

10-7/8 = 73/8

which further simplifies to 9⅛.

Thanks

Answer:

1/3

Step-by-step explanation:

7x + 1 = 10x

1 = 10x - 7x

1 = 3x

1/3 = x

Answer: I just took the test so the answer would be...Brody went to two different amusement parks. The first park charged $7 per hour and gave a 1% discount for showing a student ID. The other park charged $10 per hour. What is x, the number of hours that Brody would have to stay at each park to have to pay the same amount?

Step-by-step explanation: hope this help thx for the points :D

Answer:

0.0024

Step-by-step explanation:

0.04*0.06=0.0044

Answer:

x = 15.81

Step-by-step explanation:

horizontal leg of triangle = 15

vertical leg of triangle = 9 - 4 = 5

using the Pythagorean theorem:

x² = 15² + 5² = 225 + 25 = 250

x = √250 = 15.81

Answer:

Circumference of the circle with a radius of 5 is 31.42

Step-by-step explanation:

Answer:

The 1st one is: 31.4cm

Step-by-step explanation:

1st: 2 x 3.14 x 5 = 31.4

Answer:

49

Step-by-step explanation:

[tex]\sqrt{7(343)}[/tex]

= [tex]\sqrt{2401}[/tex]

= 49

Answer:

  [tex]\sqrt{7*343}=49[/tex] ✔︎

Step-by-step explanation:

[tex]Simplify~ the~ radical ~by ~breaking ~the~ radicand ~up~ into ~a ~product ~\\of known factors[/tex]

᪥༄᪥༄᪥༄᪥༄᪥༄᪥༄

Answer:

y = 2x - 6

Step-by-step explanation:

subtract 2x from each side to get:

-y = -2x + 6

divide each side by -1 to get:

y = 2x - 6

Answer:

Random sampling uses specific words for certain things. "Population" means every possible choice. Whether you're choosing numbers, things or people, "population" means "all the possible things I could choose." "Sample," logically enough, means the thing or things you choose from the population to study

Step-by-step explanation:

Answer:

Step-by-step explanation:

x - brother's money

3x - my money

$24 - our money

The equation:

x + 3x = $24

4x = $24

4x : 4 = $24 : 4

x = $6

3x = 3 · $6 → 3x = $18

Answer:  4

14 is shown... then you have 10 that is shown how much more would it take to make 14..... 4 more

10+x=14

x=4

Answer:

Equation: 14 - j = 10

j = 4

Step-by-step explanation:

Answer:

(7,6)

Step-by-step explanation:

We already know that the high school is located at (7,-2) and when writing coordinate points we write the x value and then the y value. (x,y) The x represents when you move left or right while the y represents moving up or down. In this example we are moving up because the library is 8 miles north of the high school. All we need to do is add 8 to -2. 8+(-2) =6. So, (7,6) is your answer.