Use the distributive property to writer an equivalent expression 2(w + 6x)

Answer:

170cm^2

Step-by-step explanation:

17 x 10 = 170cm^2

Answer: Last one I think

Step-by-step explanation:

Answer:

360°

Step-by-step explanation:

360° because ABC is 180°

Complete question:

Simplify 1/2 log base 10 raise to 25 - 2 log base10 raise to 4 +log base 10 raise to 32 + log base 10 raise to 1

Answer:

the simplified expression is 1.

Step-by-step explanation:

Given;

[tex]\frac{1}{2} log_{10}25 \ - \ 2log_{10}4 \ + \ \ log_{10}32 \ + \ \ log_{10}1[/tex]

The above expression is simplified as follows;

[tex]\frac{1}{2} log_{10}25 \ - \ 2log_{10}4 \ + \ \ log_{10}32 \ + \ \ log_{10}1 \\\\= log_{10}25^{\frac{1}{2} } \ - \ log_{10}4^2 \ + \ \ log_{10}32 \ + \ \ log_{10}1\\\\= log_{10} [\frac{25^{\frac{1}{2} } \ \times \ 32 \ \times 1}{4^2} ]\\\\= log _{10}[\frac{5 \ \times \ 32 \ \times \ 1}{16} ]\\\\= log _{10}[5 \ \times \ 2 \ \times \ 1]\\\\=log _{10}[10]\\\\= 1[/tex]

Thus, the simplified expression is 1.

Answer:

Sorry for being late!

the answer is D

Step-by-step explanation:

I just took the exam

Answer:

A = 450(1.1)^x

Step-by-step explanation:

Since the animal decreases by 10% each year, we will use the compound interest formula to find the required equation

A = P(1+r)^t

P is the number of animals = 450

r is the rate = 10% = 0.1

t is the time = x

Substitute into the formula;

A = 450(1+0.1)^x

A = 450(1.1)^x

This gives the required expression

Answer:16

Step-by-step explanation:I am doing the test :D

The surface area of the square pyramid is S = 736 cm²

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the pyramid be S

Let the side length of the pyramid be s = 16 cm

So , Area of base B = (side length)² = 16² = 256 cm²

Next, let's find the area of each triangular face. Since the pyramid is a regular square pyramid, all the triangular faces are congruent.

The base is one side of the square base, which has length 16 cm. The height of the triangle is the slant height of the pyramid, which is given as 17 cm.

Using the Pythagorean theorem, we can find the height of the pyramid:

Height of the pyramid h = √(slant height² - ( base/2 )²)²

h = √(17² - 8²)

h = √225

h = 15 cm

Therefore, the area of each triangular face is:

Area of triangular face = (1/2) × base × height

Area of triangular face = (1/2) × 16 × 15

Area of triangular face = 120 cm²

Since there are 4 triangular faces, the total area of the triangular faces is:

Total area of triangular faces = 480 cm²

Finally, we can find the total surface area of the pyramid by adding the area of the base and the area of the triangular faces:

Total surface area = Area of base + Total area of triangular faces

Total surface area = 256 + 480

Total surface area = 736 cm²

Hence , the surface area is 736 cm²

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Answer: Yes

Step-by-step explanation:

Given

Kwasi earned [tex]\$60[/tex] in babysitting

He spends 40% of the money in buying drinks

Money spend is given by

[tex]\Rightarrow 60\times 40\%\\\Rightarrow \$24\\\text{Remaining amount is}\\\Rightarrow 60-24=\$36[/tex]

So, Kwasi has enough money left to buy a skateboard.

Answer:

I think it 648.

Step-by-step explanation:

Answer:

The force of gravity will cause your vehicle to speed up when going downhill, and slow down when going uphill. ... Traction enables your tires to grip to the road and control your vehicle. Without traction, your car would not be able to accelerate, stop, or turn.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

78 x 30 = 2340

2340/2 = 1170

Answer:

1170 cm²

Step-by-step explanation:

Area = 1/2 (base * height)

We know that base is 78 cm and the height is 30 cm, so:

Area = 1/2 (78 * 30)

Area = 1/2 (2340)

Area = 1170

Therefore, Area of this triangle = 1170 cm²

Hope this helps!

Answer:

0.2222222222222222...

Step-by-step explanation: if not im sorry

Answer:

2.08008

so its = 2.1

i think

Answer:

50.3 cm^2

Step-by-step explanation:

Given data

Radius= 4cm

The expression for the area of circle is

Area= πr^2

Area= 3.142*4^2

Area= 3.142*16

Area= 50.3 cm^2

Hence the area is 50.3 cm^2

The measure of the angle of the triangle is ∠A = 51.3178°

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of sides are

AB = 24 units

AC = 15 units

Now , from the trigonometric relations , we get

cos θ = adjacent / hypotenuse

So , cos θ = 15 / 24

cos θ = 0.625

Taking inverse on both sides , we get

θ = cos⁻¹ ( 0.625 )

θ = 51.3178°

Hence , the measure of angle ∠A = 51.3178°

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Step-by-step explanation:

a12 = 45 + (12-1)(-6)

= 45-66= -21

Step-by-step explanation:

yes, the other answer is correct.

just to explain a little bit more :

the sequence is clearly built by subtracting 6 from one element to the next.

in other words :

a1 = 45

a n = a n-1 - 6

in such a sequence you do the same operation/ calculation over and over again - once per new element.

the operation in this example is simple - as mentioned : subtract 6.

a1 just gives us a starting value (no operation done for for it) zu, the operation is done one time less than the running number of the element.

therefore, the general element generation algorithm/ formula is :

a n = a1 - (n-1)*6

Answer:

2/3

1

3/2

Step-by-step explanation:

[tex]\frac{27}{7} n>\frac{4}{3}[/tex]

[tex]n>\frac{7}{27}*\frac{4}{3}[/tex]

[tex]n>\frac{28}{81}[/tex]

Answer:

The average weight is 9 19/40

Step-by-step explanation:

To find averages, you add all the quantities and divide by the amount of quantities (9.5+7+8.5+10 5/8+11.75 /5)

Hope this helps! Have a nice day!

Answer:

P(-8,6), Q(-5,2), R(2,1)

Answer:

The given two column proof is completed as follows;

Statements    [tex]{}[/tex]                                               Reasons

1. [tex]\overline{BE}[/tex] ║ [tex]\overline {CD}[/tex]    [tex]{}[/tex]                                               1. Given

2. ∠1 ≅ ∠2, ∠3 ≅ ∠4 [tex]{}[/tex]                                    2. Corresponding ∠s Post.

3. ΔABE ~ ΔACD [tex]{}[/tex]                                          3. AA similarity Postulate

4. [tex]\dfrac{AC}{AB} = \dfrac{AD}{AE}[/tex]    [tex]{}[/tex]                                              4. Def. of ~ Δs

5. AC = AB + BC; AD = AE + ED   [tex]{}[/tex]                5. Segment Add. Post

6. [tex]\dfrac{AB + BC}{AB} = \dfrac{AE + ED}{AE}[/tex]   [tex]{}[/tex]                           6. SAS Similarity Theorem

7. [tex]\dfrac{AB}{AB} + \dfrac{BC}{AB} = \dfrac{AE }{AE} + \dfrac{AE}{AE}[/tex]   [tex]{}[/tex]                          7. Distributive property of equality

8. [tex]1 + \dfrac{BC}{AB} = 1 + \dfrac{AE}{AE}[/tex]  [tex]{}[/tex]    [tex]{}[/tex]                               8. [tex]Simplify \left(\dfrac{AB}{AB} =1; \dfrac{AE }{AE} =1\right)[/tex]

9. [tex]\dfrac{BC}{AB} =\dfrac{AE}{AE}[/tex]          [tex]{}[/tex]    [tex]{}[/tex]                                    9. Subtraction prop. of =

Step-by-step explanation:

The given two column proof is completed as follows;

Statements    [tex]{}[/tex]                                               Reasons

1. [tex]\overline{BE}[/tex] ║ [tex]\overline {CD}[/tex]    [tex]{}[/tex]                                               1. Given

2. Corresponding angles are congruent (postulate)

3. Angle Angle, AA similarity Postulate

4. Def. of ~ Δs Definition of similar triangles

5. Segment Addition Postulate

6. Side-Angle-Side SAS Similarity Theorem

7. Distributive property of equality

8. [tex]1 + \dfrac{BC}{AB} = 1 + \dfrac{AE}{AE}[/tex]  [tex]{}[/tex]    [tex]{}[/tex]                               8. [tex]Simplify \left(\dfrac{AB}{AB} =1; \dfrac{AE }{AE} =1\right)[/tex]

9. Subtraction property of equality, by subtracting 1 from both sides

Step-by-step explanation:

secx=1/cosx

=1/(root of 11/6)

=6/root 11

=6root 11/11

Answer:

sec θ = [tex]\frac{6\sqrt{11} }{11}[/tex]

Step-by-step explanation:

Using the identity

sec x = [tex]\frac{1}{cosx}[/tex]

cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{\sqrt{11} }{6}[/tex] , then

secθ = [tex]\frac{6}{\sqrt{11} }[/tex] × [tex]\frac{\sqrt{11} }{\sqrt{11} }[/tex] = [tex]\frac{6\sqrt{11} }{11}[/tex]

Answer:

628.75

Step-by-step explanation:

125.75*5=628.75

Answer: Choice C

sin(26) = x/10

===========================================================

Explanation:

With respect to the 26 degree angle, the x is the opposite side and the 9 is the length of the adjacent side.

We can say tan(26) = x/9 because tangent is the ratio of opposite over adjacent. In other words, tan(angle) = opposite/adjacent

Unfortunately, tan(26) = x/9 is not an answer choice.

Luckily though, we have other trig ratios to work with.

The sine ratio ties together the opposite side and hypotenuse

sin(angle) = opposite/hypotenuse

sin(26) = x/10

---------

Extra info (optional section)

Solving for x leads to...

sin(26) = x/10

10*sin(26) = x

x = 10*sin(26)

x = 4.38371 approximately

Also, note how cos(26) = 0.89879 approximately, which is fairly close to 9/10 = 0.9. This indicates some rounding error is going on when your teacher is displaying either the 9, the 10, or the 26 degree angle.

Answer:

4s+4st-21-7t

Step-by-step explanation:

(7s-21)-(3s-4st+7t)

7s-21-3s+4st-7t

7s-3s-21+4st-7t

4s-21+4st-7t

4s+4st-21-7t

Answer:

the right triangles are B,C,D