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Answers:

1. V=triangle area × length

V=1/2×8×12×20

V=960in³

2. triangle area × length

Area of the triangle=1/2×4×11

A=22ft²

V=22×6

V=132ft³

3. b, volume always have cubic power (³)

4. d, same reason of question 3

Answer:

6.JMK=90-28

=62

STR=180-118

=62

(PROVEN)

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Factorisation.

Since here both are the roots of the quadratic equation in the factor form, hence

equate them to zero, to get the value of x

hence,

2x-9 = 0

===> x = 9/2

and

3x+5=0

===> x = -5/3

Answer: ............

Step-by-step explanation:

Answer: Choice B) Investment decreases by 3% each month

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

Explanation:

We won't use the value 2500 at all.

The base of the exponential is 0.97

Set this equal to 1+r and solve for r

1+r = 0.97

r = 0.97-1

r = -0.03

The negative r value indicates we have exponential decay, so the value of the investment decreases by 3% each month.

Let's say you had $100 to start off. This would mean the investment would be worth $97 after one month is up.

Answer:

7. adjacent (next to each other)

8. vertical (right across from each other)

9. vertical (right across from each other)

10. neither

11. adjacent (right next to each other)

12. neither

Before I go on: all these angles have the same measure as the one across, so ∠SYX has the same measure as ∠UYV (76°), ∠XYW has the same measure as ∠TYU (40°), and ∠WYV has the same measure as ∠SYT (64°)...

13. ∠SYX = 76°

14. ∠XYW = 40°

15. ∠WYV = 64°

These last three are angles added together. They look tricky, but you just note the endpoints and add the measures of the included angles together.

16. ∠SYW = ∠SYX + ∠XYW = 76° + 40° = 106°

    ∠SYW = 106°

17. ∠TYX = ∠SYX + ∠SYT = 76° + 64° = 140°

    ∠TYX = 140°

18. ∠VYX = ∠WYV + ∠XYW = 64° + 40° = 104°

    ∠VYX  = 104°

I hope this helps you understand the concept! Have a great day!

Answer:

x > -3

Step-by-step explanation:

x + 8 > 5

   -8   -8

    x > -3

I hope this helped you :)

Answer:

Step-by-step explanation:

Here is an example:

[tex]3x^{2} +7=55[/tex]

-7 on both sides of the equation

[tex]3x^{2} =48[/tex]

divide by 3 on both sides

[tex]x^{2} =16[/tex]

square root the [tex]x^{2}[/tex] and 16

x=±4

Answer:

251,502

Step-by-step explanation:

hope it helps!

....

Answer:

501 × 502 = 251,502

...

Answer:

3x+13

Step-by-step explanation:

=9+(3x+4)

=9+3x+4

=3x+13

Answer:

4x²+4y²-20x+12y-2=0

4x²-20x+4y²+12y = 2

4(x²-5x) + 4(y²+3y) = 2

4(x²-5x+25/4) + 4(y²+3y+9/4) = 2 + 4*25/4 + 4*9/4

4(x-5/2)² + 4(y+3/2)² = 36

(x-5/2)² + (y+3/2)² = 9

Step-by-step explanation:

hope this helped :)

Answer:

y= -2/3x^2 + 5/3x + 1/6

Step-by-step explanation:

Answer:

75.36 cm

Step-by-step explanation:

Given.

radius (r) = 12 cm

Circumference (C)

= 2*π*r

= 2 * 3.14 * 12

= 75.36 cm

Hope it will help :)

Answer:

Step-by-step explanation:

Answer: 960

Step-by-step explanation:

Answer:

Expression for Perimeter:  6x + 6

x = 12 cm

Verify A = 360:

2(12) x (12+3) = 360

24 x 15 = 360

360 = 360

Step-by-step explanation:

[tex]T(x,y)=(x+3,y-2)[/tex]

Hope this helps.

Answer:

i think its 72 if i'm wrong sorry

Step-by-step explanation:

Answer:

17 cm

Step-by-step explanation:

add the length, width of triangle

Answer:

no

Step-by-step explanation:

The absolute value is EXACTLY 29, so.

Answer:

6.24 pounds

Step-by-step explanation:

12 x .52 = 6.24 pounds

Answer:

The answer would be 6.24lb

Step-by-step explanation:

I took the k12 test

Answer:

B -4 units in the direction of x and +1 units in the direction of y

Step-by-step explanation:

Given

[tex]A = (3, 1), (5, 2), (4, 3)[/tex]

[tex]A^{-1}= (-1, 2), (1, 3) (0, 4)[/tex]

Required

Determine the translation from A to A-1

Take (3,1) from A and (-1,2) fro A-1 as points of reference,

For translation to occur, we make use of:

[tex](3 + x,1+y) = (-1,2)[/tex]

By comparison:

[tex]3 + x = -1[/tex] and [tex]1 + y = 2[/tex]

Solve for x and y

[tex]3 + x = -1[/tex]

[tex]x = -1-3[/tex]

[tex]x = -4[/tex]

[tex]1 + y = 2[/tex]

[tex]y = 2 - 1[/tex]

[tex]y=1[/tex]

(B) is correct.

Answer:

possibly 4 if not I'm sorry

Answer:

The answer is below

Step-by-step explanation:

Triangles are polygons with three sides and three angles. Types of triangles are isosceles, equilateral, scalene and right angled triangles.  

Trigonometric identities are equations that uses trigonometric functions to show the relationship between the angles in a right angle triangle and the sides of the right angled triangle.

If θ be an acute angle in a right angled triangle, hyp. is the hypotenuse side of the angle, opp. is the opposite side to the angle and adj. is the adjacent side to the angle, then:

sinθ = opp. / hyp.v;  cosθ = adj. / hyp. ; tanθ = opp. / adj.

Answer:

[tex]y = \frac{17}{7}[/tex]

Step-by-step explanation:

1) To solve this question easily, cross multiply first. Multiply the denominator of the first fraction by the numerator of the second fraction, and multiply the denominator of the second fraction by the numerator of the first fraction:

[tex]\frac{y-1}{3y+7}=\frac{1}{10}\\1(3y+7) = 10(y-1)\\3y + 7 = 10y-10[/tex]

2) Now, solve like you would and isolate y. Subtract both sides by 10y.

[tex]3y + 7 = 10y-10\\-7y + 7 = -10[/tex]

3) Then, subtract both sides by 7.

[tex]-7y + 7 = -10\\-7y = -17\\[/tex]

4) Finally, divide both sides by -7 to receive the answer.

[tex]-7y = -17\\y = \frac{-17}{-7} \\y = \frac{17}{7}[/tex]

Answer:

Step-by-step explanation:

x + 2 = -1/2x + 2

3/2x + 2 = 2

3/2x = 0

x = 0

y = 0 + 2

y = 2

(0, 2)

Answer:

$24.75

Step-by-step explanation:

4/5 of 13.75 = 11

11+13.75= 24.75

Dana  spends $24.75 in all.

An equation is a mathematical statement that equates two algebraic expression by an equal sign.

The data given in the question is

Dana spends $13.75 on a teacup for her grandmother

She spends 4/5 of that on a coffee mug for her grandfather.

The total amount  she spends is given by $x

The equation becomes

x = 13.75 + (4/5) * 13.75

x = $24.75

Therefore she spends $24.75 in all.

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