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3 years ago

Solve: 2a + 5 = 23 :((

Mathematics

1 answer:

artcher [175]3 years ago

5 0

Answer: 9

Step-by-step explanation:

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Graph the line<br> y= -2x - 4

maxonik [38]

Answer:

It should look like this

Step-by-step explanation:

hope it helps :)

3 0

3 years ago

Frank paid 5% sales tax on his television, which cost $769 before taxes. What did the television cost in total?

Alenkasestr [34]

The 5% tax would be +<span>38.45
So add that to the 769
you get </span><span>807.45</span>

4 0

4 years ago

a rectangle has vertices a(2,6), b(2,9), C(7,9), and D(7,6), what is the length of each side of the rectangle?

Dmitry_Shevchenko [17]

The side length in the y-direction is 9-6 = 3 units. (sides ab and cd)

The side length in the x-direction is 7-2 = 5 units. (sides bc and ad)

3 0

4 years ago

Solve the equation. Round the solution to the nearest tenth . Enter the solution set of the equation . 2P o =P 0 (1.053)^ t

kow [346]

Answer: t= 13.4

Step-by-step explanation:

The given equation is $2P_0=P_0(1.053)^t$

To solve this equation for 't', we first divide both sides by $P_0$ , we get

$2=(1.053)^t$

Taking log on both the sides, we get

$\log 2= \log(1.053)^t$

Since $\log a^b=b\log a$

Then,

$\log 2= t\log1.053\\\\\Rightarrow0.30103=t(0.02243)\\\\\Rightarrow t=\dfrac{0.30103}{0.02243}\\\\\Rightarrow t=13.4208649131\approx13.4$

Hence, the value of t is 13.4.

6 0

3 years ago

Find the volume of a right prism with height h=10 cm, The base is equilateral triangle with side 4 cm, base altitude of ≈ 3.5 cm

cestrela7 [59]

<h2>Answer:</h2>

$\boxed{V=40\sqrt{3}cm^3}$

<h2>Step-by-step explanation:</h2>

A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. In a right prism every edge that connects the base and the opposite face makes right angles with both faces. Moreover, a triangular prism is a solid whose base is a triangle. In general, a prism's volume is always equal to the area of its base, which has the same area of the top face, times its height. In mathematical language:

$V=A_{b}\times H \\ \\ Where: \\ \\ A_{b}:Base \ Area \\ \\ H:Height$

Since the base is an equilateral triangle with side 4 cm, then we'll use Heron's formula to find the area. This formula uses triangle's side lengths and the semiperimeter. A polygon's semiperimeter s is half its perimeter. So the area of a triangle can be found by $A=\sqrt{s(s-a)(s-b)(s-c)}$ being $a,\:b\:and\:c$ the corresponding sides of the triangle. So:

$s=\frac{4+4+4}{2}=6cm \\ \\ a=b=c=4cm \\ \\ A_{b}=\sqrt{6(6-4)^3}=4\sqrt{3}cm^2$

Finally:

$V=4\sqrt{3}\times 10 \\ \\ \boxed{V=40\sqrt{3}cm^3}$

3 0

3 years ago