-5 3/4 - 3 1/2 = ? Solve please!

Answer: 12.48

Step-by-step explanation:

38x38+bxb=40x40

1444+b=1600

1600-1444=156

[tex]\sqrt156[/tex]=12.48

The base of the house is 12.48 foot far from the foot of the ladder.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

|AC|^2 = |AB|^2 + |BC|^2    

It is given that A 40-foot ladder reaches 38 feet up the side of a house.

We need to find that How far from the base of the house is the foot of the ladder.

Using Pythagoras theorem, we get;

[tex]38^2 + b^2 =40^2\\\\1444 + b^2 = 1600\\ \\b^2 = 1600 - 1444 \\\\b^2= 156\\\\b = 12.48[/tex]

Therefore, the base of the house is 12.48 foot far from the foot of the ladder.

Learn more about Pythagoras theorem;

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Answer:

radius is 8 ft

Step-by-step explanation:

circumference formula is 2pi r

so if the circumference is 16 pi, we divide it by 2 to get 8 pi and divide it by pi to get 8.

Answer:

8  ft

Step-by-step explanation:

The circumference is given by

C = 2 * pi *r

16 pi = 2 * pi *r

Divide each side by 2 pi

16 pi / 2 pi = 2 pi r / 2 pi

8 = r

Answer:

(4x^3 - 9)(4x^3 + 9)

Step-by-step explanation:

16x^6 - 81

write this in the form of a^2 - b^2

(4x^3)^2 - (9)^2

since a^2 - b^2 = (a + b)(a - b) . Write,

(4x^3 - 9)(4x^3 + 9)

Answer:

19: x=5

20: x=13

21: y= 11

     x= 11

Step-by-step explanation:

Answer:

what?

Step-by-step explanation:

........................

Answer:

a

Step-by-step explanation:

When there is no decomposition, the plant is deficient in minerals.

Answer:

200π cm²

Step-by-step explanation:

Applying,

TSA = πrl+πr²

TSA = π(r²+rl)............. Equation 1

Where TSA = Total surface area, r = radius of the base, l = slight height of the cone

To get l we apply pythagoras theorem

From the diagram,

l² = 15²+8²

l² = 225+64

l² = 289

l = √289

l = 17 cm

Given: r = 8 cm

Substitute these values into equation 1

TSA = π(8²+17×8)

TSA = π(64+136)

TSA = π(200)

TSA = 200π cm²

[tex]\longrightarrow{\green{x\:=\:5}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

➝[tex]\: \frac{3x}{5} = \frac{x + 1}{2} [/tex]

➝[tex]\:2 \times 3x = 5(x + 1)[/tex]

➝[tex]\:6x = 5x + 5[/tex]

➝[tex]\:6x - 5x = 5[/tex]

➝[tex]\:x = 5[/tex]

✒[tex] \:\frac{3 \times 5}{5} = \frac{5 + 1}{2} [/tex]

✒[tex]\: \frac{15}{5} = \frac{6}{2} [/tex]

✒[tex]\:3 = 3[/tex]

✒[tex]\:L. H. S. =R. H. S. [/tex]

Hence verified.

[tex]\bold{ \green{ \star{ \orange{Mystique35☂}}}}⋆[/tex]

Answer:

. ...................... ........

Answer:

15. Area of parallelogram = bh

    b = 9m

    h = 4m

    a = 9*4 = 36m^2

   You can also use the rectangle property here.

    a = l*b

    l = 9

    b = 6

    a = 9*6 = 54 m^2

    Though I would prefer the first one better.

16. Area of triangle = 1/2*bh

    b = 17m

    h = 3

    a = 17*3/2 = 51/2 = 25.5m^2

18. Area of a trapezium = a+b/2*h (a and b are two parallel sides and h the            height)

a = 15

b = 7

h = 15

a = 15+7/2*15 = 22/2*15 = 11*15 = 165m^2

19. Area of triangle = 1/2*bh

    b = 24

    h = 7

    a = 24*7/2 = 168/2 = 84

Hope u understood

Please mark as brainliest

Thank You

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { {a}^{2} - {b}^{2} = (a + b)(a - b)}}}}}}[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

[tex] \sf {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]

This is the required formula.

Answer:

A and D

Step-by-step explanation:

Look at the answer choices as (x,y) so if you multiply the x for the x spot and the y for the y spot, you make sure the it is greater than or equal to 3 and if it is, select that answer.

Answer:

11/8

Step-by-step explanation:

2 3/4 ÷ 4/2

11/4 ÷ 4/2

11/4 × 2/4

22/16

11/8

Answer:

.75 i think but check my explanation first

Step-by-step explanation:

if the problem is 2(3/4 ÷  4/2) it's .75. But if 2 3/4 is a mixed fraction, it should be 1.375.

Answer:

[tex]\frac{28}{3}[/tex]

Step-by-step explanation:

[tex]\frac{8}{5} * \frac{10}{3} * \frac{7}{4}[/tex]

[tex]\frac{80}{15} * \frac{7}{4}[/tex]

[tex]\frac{560}{60}[/tex]

[tex]\frac{140}{15}\\\\= \frac{28}{3}[/tex]

→ (8/5 × 10/3) × 7/4

→ 80/15 × 7/4

→ 560/60

→ 140/15

→ 28/3 cm³

Answer:

a. Vertically opposite angles

b. corresponding angles

c. Exterior angles

d. Supplementary angles

e. 40 degree

f. 40 degree

Step-by-step explanation:

Answer:[tex]\color{yellow}{}[/tex]

Answer:

£7

Step-by-step explanation:

x - .2x = £5.60

.8(x) = £5.6

x= £5.6/.8

Answer:

30=7+13+5=

30=25+p

p=30-25=

p=5

Answer:

A

Step-by-step explanation:

y = 4x - 4 is a line with y-intercept -4 and slope 1. Both graphs A and C show that line in blue.

y = 4 is a horizontal line through y = 4. Graph A shows that line.

Answer: A

Answer:

c.12

Step-by-step explanation:

you do 33-9 which gets you 24. You then divide that by 2 so you get 12.

Answer:

2 Tons Wood

Step-by-step explanation:

According To Question,

Given,the ratio of the weight of wood to the weight of raw materials used by a factory is 16 : 56 or 2 : 7 .

And, Factory were to use 7 tons of raw materials .

Thus, if 56 ⇒⇒ 7Tons of Raw Material

So,

16⇒⇒2 Tons of Wood Material .

Answer:

A.

Step-by-step explanation:

Answer:

The coefficient of the squared term of the equation is 1/9.

Step-by-step explanation:

We are given that the vertex of the parabola is at (-2, -3). We also know that when the y-value is -2, the x-value is -5. Using this information we want to find the cofficient of the squared term in the parabola's equation.

Since we are given the vertex, we can use the vertex form:

[tex]\displaystyle y=a(x-h)^2+k[/tex]

Where a is the leading coefficient and (h, k) is the vertex.

Since the vertex is (-2, -3), h = -2 and k = -3:

[tex]\displaystyle y=a(x-(-2))^2+(-3)[/tex]

Simplify:

[tex]y=a(x+2)^2-3[/tex]

We are also given that y = -2 when x = -5. Substitute:

[tex](-2)=a(-5+2)^2-3[/tex]

Solve for a. Simplify:

[tex]\displaystyle \begin{aligned} -2&=a(-3)^2-3\\ 1&=9a \\a&=\frac{1}{9}\end{aligned}[/tex]

Therefore, our full vertex equation is:

[tex]\displaystyle y=\frac{1}{9}(x+2)^2-3[/tex]

We can expand:

[tex]\displaystyle y=\frac{1}{9}(x^2+4x+4)-3[/tex]

Simplify:

[tex]\displaystyle y=\frac{1}{9}x^2+\frac{4}{9}x-\frac{23}{9}[/tex]

The coefficient of the squared term of the equation is 1/9.

Answer:

9.5 miles

Step-by-step explanation:

Since her route is in the shape of a triangle, total distance travelled can be determined by calculating the perimeter of a triangle.

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

The perimeter of a triangle = sum of the side lengths

The total distance travelled can be determined by adding the miles she rode

2.3 + 3.4 + 3.8 = 9.5 miles

Answer:

make y the subject first

Step-by-step explanation:

y=5/7(x) -27/7

parallel lines have equal gradient m1=m2

y-y1=m(x-x1)

y-(-3)=5/7(x-4))

y=5/7(x) -20/7 -3

final answer

y=5/7(x) -41/7

Answer:

Letter C

Step-by-step explanation:

Given:

[tex]24x-17x[/tex] ≥ [tex]13x+15[/tex]

Combine like terms

[tex]7x[/tex] ≥ [tex]13x+15[/tex]

Subtract both sides by 13x

[tex]-6x[/tex] ≥ [tex]15[/tex]

DIvide -6 from both sides

[tex]x[/tex] ≥ [tex]-2.5[/tex]

Letter C is the answer because it is at -2.5, the arrow is facing to the right, and the dot or circle is closed to indicate that it is greater than "or equal to".

Hope this helps

Answer:

A

Step-by-step explanation:

change them both to absolute values->

3 and 7->

then compare->

7 is bigger :)

Answer:

7>-3

LeBron's family moved after his brother was born

:)

Answer:

Kaden had $17 at first

Step-by-step explanation:

Ben = x

Kaden = x - 10

x + 4

x - 10 + 4 = x -6

x - 6 = [tex]\frac{7}{9}[/tex] x

9(x - 6) = 7x

9x - 54 = 7x

2x = 54

x = 27

x - 10 = 27 - 10 = 17

Answer:

Kaden had $31

Ben had $41

Step-by-step explanation:

k = b - 10

k + 4 = (7/9)(b+ 4)

Substitute for k = b - 10

(b - 10) + 4 = (7/9)(b+ 4)

b - 6 = (7/9)(b+ 4)

multiply by 9 to clear the fraction

9b - 54 = 7(b + 4)

Distribute

9b - 54 = 7b + 28

subtract 7b from both sides

2b - 54 = 28

Add 54 to both sides

2b = 82

Divide both sides by 2

b = 41

k = b - 10

k = 31