Full working out for this question please

Answer:

15-37 or -37+15

Step-by-step explanation:

Answer:

75 degrees

Step-by-step explanation:

From the first part of the diagram,

vertically opposite angles are equal,

hence we have

125° + (4x-5)° + 125° + (4x-5)° = 360°

(Angles about a point equals 360°)

4x – 5 + 4x – 5 + 125 + 125 = 360

8x + 250 – 10 = 360

8x = 360–250 + 10

8x = 120

x = 15°

Now we have (5x)° in the second part.

5x = 5 × 15 = 75°

1 is vertically opposite to angle 75°

hence it is equal to 75 degrees.

Answer:75

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

-7.5 is less than 6.5

Answer:

A = Pi (8 w**4)**2

Step-by-step explanation:

C = 16 Pi w**4 (given)

C = 2 Pi R (stand forula)

So then find R in terms of w by settting C = C from above

2 Pi r = 16 Pi w**4

2R = 16 w**4

R = 8 w**4

SO

A = Pi R**2

A = Pi (8 w**4)**2

Answer:

Top right option

Step-by-step explanation:

multiplying the digits, you get the volume, which is 3/4

Answered by GAUTHMATH

Answer:

15

Step-by-step explanation:

Using the Pythagorean theorem,

[tex]x^2 +8^2=(x+2)^2[/tex]

we can simplify 8 squared to 64, and we can use FOIL to expand x plus 2 squared.

[tex](x+2)(x+2)=x^2+4x+4[/tex]

We have

[tex]x^2+64=x^2+4x+4[/tex]

We can subtract x squared plus four from both sides to get

[tex]60=4x[/tex]

Dividing by 4, we get [tex]x=15[/tex]

Answer:x=15

Step-by-step explanation:

remember the Pythagorean Theraum(sorry about spelling)

a^2 +b^2=c^2

the shortest is a^2 , b^2 is the second shortest, and c^2 is the hypotenuse, or the longest.

currently the hypotenuse (c^2)is x+2, (b^2) is x, and a^2 is 8

8x8=64

64+x^2=(x+2)^2

try solving it now.

64+15^2=(15+2)^2

289=289

So, x=15

9514 1404 393

Answer:

  9.23%

Step-by-step explanation:

The account balance for simple interest is given by ...

  A = P(1 +rt) . . . . . principal P invested for t years at rate r

  554 = 379(1 +r·5)

  554 = 379 + 1895r . . . . eliminate parentheses

  175 = 1895r . . . . . . . . . subtract 379

  r = 175/1895 ≈ 0.092348 ≈ 9.23%

Jennifer's account had an interest rate of about 9.23%.

Answer:

a) the angle ABC is approximately 106 degrees b) 24

Step-by-step explanation:

1) Using the law of cos

AC*AC= AB*AB+BC*BC-2*AB*BC*cosB

8*8= 5*5+5*5-2*5*5*cosB

64= 50- 50c0sB

cosB= 14/(-50)= -7/25.

B= arccosB= arccos(-7/25)= 106degrees.

2) sinB*sinB= 1- CosB*cosB= 1-49/625= 576/625

sinB= 24/25 (SinB doesn't equal -24/25, because B is between 0 and 180 degrress, so sin B is positive)

3) S= AB*BC*sinB= 5*5*24/25= 24 (area of the rhombus is 24)

Answer:

If the triangle is similar by any axiom then the ratio of their sides will be equal then you can easily find the side of the triangle

OR

You can also find it by congurency.

Hope this helps

Answer:

The given polynomial is,

2x³+5x²-8x-10=0

all possible roots of a polynomial,

ax³+b²+c x +d=0 ← all possible factors of ration (d/a)

Therefore, eq (1), all possible factors are the factors of ratio (-10/2)

which are, B) { ± 1, 1/2, ± 2, ± 5/2, ±5, ± 10}

OAmalOHopeO

9514 1404 393

Answer:

  (d)  Right, scalene

Step-by-step explanation:

The little square in the upper left corner tells you that is a right angle. Any triangle with a right angle is a right triangle. This one is scalene, because the sides are all different lengths.

__

Additional comment

An obtuse triangle cannot be equilateral, and vice versa.

An equilateral triangle has all sides the same length, and all angles the same measure: 60°. It is an acute triangle.

Answer:

B

Step-by-step explanation:

-10 + 3x - x - 7x + 5x + 7 + 2x

combine like terms

-10 + 3x - x - 7x + 5x + 7 + 2x

-3 + 3x - x - 7x + 5x + 2x

the -7x and the 5x + 2x cancel out to 0, so for the x terms we are left with 3x -x to get 2x

= 2x - 3

Answer:

11,968

Step-by-step explanation:

I'm not sure, but I think its 11,968

Answer:

This is trapezium.

Area of this figure =1/2h(d1-d2)

1/2×5(14-8)

=30/2

=15cm^2

Answer:

v = 3

General Formulas and Concepts:

Pre-Algebra  

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

12v + 10v + 14 = 80

Step 2: Solve for v

Answer:

They got 3.00 back

Step-by-step explanation:

Since they both bought a book it means you have to double the price of one book.

3.50+3.50=7.00

Then since you are looking for the difference of 10.00 you would subtract it.

10.00-7.00=3.00

Answer:

√7

Step-by-step explanation:

Let :

AC = x

BD = y ; AD = 3 - y

Since, AD = BC

Then BC = 3 - y

Taking △BDC a d applying Pythagoras

Hypotenus² = opposite² + adjacent²

BC² = CD² + BD²

(3 - y)² = (√3)² + y²

9 - 6y + y² = 3 + y²

-6y + y² - y² = 3 - 9

-6y = - 6

y = 1

AD = 3 - y ; AD = 3 - 1 = 2

Taking △ADC

AC² = CD² + AD²

AC² = (√3)² + 2²

AC² = 3 + 4

AC² = 7

AC = √7

Answer:

[tex]\text {La} \, \text { suma }\, \text {de} \ \text {ambos} \, \text { numeros} \, \text { es }\ 80\dfrac{9}{13}[/tex]

Step-by-step explanation:

Los parámetros dados son;

El producto de los dos números = 880

El producto del multiplicando aumentó por 20 y el otro número = 260 + el producto inicial, 880

Dejemos que x represente el multiplicando, y que y represente el otro número, tenemos;

x × y = 880

(x + 20) × y = 880 + 260

Tenemos;

(x + 20) × y = x × y + 20 × y = 880 + 260

∴ 20 × y = 260

y = 260/20 = 13

y = 13

x = 880 / y

∴ x = 880/13

La suma de ambos números = x + y = 13 + 880/13 = 1049/13 = [tex]80\dfrac{9}{13}[/tex]

Answer:

all diagram can be folded into triangular pyramid.

Answer: 135

Step-by-step explanation: Write 150% as 150/100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have 150/100 of 90= 150/100 X 90

Therefore, the answer is 135

If you are using a calculator, enter 150÷100×90 which will give you 135 as the answer.

150 percentage of 90 is 135 which we obtained by multiplying 1.5 with 90.

"Percent" means "per hundred," so when we say "150%," it means 150 per hundred or 150 out of 100.

To find 150% of 90, we can use the following formula:

150% of 90 = (150/100) × 90

Convert 150% to a decimal.

To do this, divide 150 by 100:

150/100 = 1.5

Multiply the decimal value by 90:

1.5 × 90

= 135

So, 150% of 90 is 135 which means that 135 is 150% of 90, which is equivalent to saying that 135 is 1.5 times larger than 90.

To learn more on Percentage click:

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Answer:

right the box in the corner means it's a 90 degree angle or a right angle

Answer:

right

Step-by-step explanation:

The box in the corner means the angle is 90 degrees, which means it is a right angle.  That means the triangle is a right triangle

3(y+11) y=12

3(12+11)=?

12+11=23

3x23=69

Answer = 69

I hope this helps :)

Answer:

a = 7.5

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{15}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2a = 15 ( divide both sides by 2 )

a = 7.5

Answer:

Yes, by SSS Similarity Theorem

Step-by-step explanation:

the triangles are similar because the sides are proportional, the common ratio is 1.5.

if you look at the corresponding sides of the triangle and multiply 1.5 to the smaller triangle measurements, you get the bigger triangle's corresponding measurements:

3 * 1.5 = 4

4 * 1.5 = 6

6 * 1.5 = 9

Yes the triangle are similar by SSS Similarity Theorem.

Triangles' similarity can be characterized based on their attributes.

If two triangles are similar,

(I) their respective angles are equal, and

(ii) their corresponding sides have the same proportion (or proportion

We have two triangles.

From the triangle we can write

AB / ED = 4/ 6 = 2/3

and, AC / FD = 6 / 9 = 2/3

and, BC / EF = 3 / 4.5 = 30 /45 = 2/3

Thus, AB / ED = AC / FD = BC / EF = 2/3

By SSS Similarity Criteria triangles are similar.

Learn more about Similarity here:

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Answer:

2*sqrt6 = 2*apprx2 = 4

5*sqrt10 = 5*3.1 = 15.5

4*sqrt2 = 4*1.4 = 6.4

3*sqrt3  = 3*1.7 = 5.1

4, 5.1, 6.4, 15.5 or... 2sqrt6, 3sqrt3, 4sqrt2, 5sqrt10

​

Answer:

Step-by-step explanation:

Choice A is the only one that is applicable.

Answer:

A. F(x) has 1 relative minimum and maximum.

Step-by-step explanation:

[tex]{ \bf{F(x) = 2 {x}^{3} - 2 {x}^{2} + 1 }}[/tex]

As x and F(x) tend to positive and negative infinity:

[tex]{ \sf{x→ \infin : f(x) = \infin}} \\ { \sf{x→ {}^{ - } \infin : f(x) → {}^{ - } \infin}}[/tex]

❎So, B and C are excluded.

Roots of the polynomial:

[tex]{ \sf{f(x) = 2 {x}^{3} - 2 {x}^{2} + 1}} \\ { \sf{f(x) = - 0.6 \: \: and \: \: 0.8}}[/tex]

❎, D is also excluded.

✔, A

graphed it with desmos (free as app and website).

the solutions are in the screenshot

(1, 3)

(3, 7)

The derivative of a function f(x) is defined as

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{f(x+h)-f(x)}h[/tex]

For f(x) = 3x ² + 4, we have

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{(3(x+h)^2+4) - (3x^2+4)}h[/tex]

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{(3(x^2+2xh+h^2) - 3x^2}h[/tex]

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{6xh+3h^2}h[/tex]

[tex]f'(x)=\displaystyle\lim_{h\to0}(6x+3h) = \boxed{6x}[/tex]

Answer:

8

Step-by-step explanation:

(3+5)^2/8=(8)^2/8=64/8=8

Answer: 8

Step-by-step explanation:

(3+5)^2/8=

(8)^2/8=

64/8=

8

Answer:

Step-by-step explanation:

If x represents the number of long-sleeved shirts and each of these cost $14, then the expression for that is 14x; likewise for short-sleeved shirts that are represented by y. The expression for short-sleeved shirts that cost $10 apiece is 10y. Putting that together with the fact that they earned less than $200 when selling these at the same time, the inequality is

14x + 10y < 200

Answer:D i just got it right trust mw

Step-by-step explanation:i