someone help me asap math 10

Answer:

17.5 units

Step-by-step explanation:

a² + b²= c²

9² + 15² = c²

81 + 225 = c²

c² = 306

c = √306

c = 17.5

Answer:

there are now 3.5 kilograms of grapes in the basket (the mystery number is 1.5)

Let us suppose that the number of grapes in the box is x and the number of grapes in the basket is y.

It means that the weight of the grapes in the box is x kg and that of basket is y kg.

It has been given that the box had twice as many grapes as a basket. Therefore, we have

Now when we add 2 kg to the basket then the weight of the basket is y+2 and the weight of box will remain same.

Now, we have been given that after 2 kilograms were added to the basket it contained 0.5 kilograms more than the box. Hence, we have

Substituting the value x=2y in the equation, we get

Therefore, the basket contains 1.5 kilograms of grapes.

Answer:

[tex]c=2\frac{1}{3}[/tex]

Step-by-step explanation:

[tex](-9c)-4=-25\\(-9c)=-21\\9c=21\\c=21/9=2\frac{1}{3}[/tex]

Answer:

A

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 3, 5 ] , thus

f(b) = f(5) = - 26 ← value of y for x = 5 from table

f(a) = f(3) = - 10 ← value of y for x = 3 from table

average rate of change = [tex]\frac{-26-(-10)}{5-3}[/tex] = [tex]\frac{-16}{2}[/tex] = - 8 → A

Answer:

(8a+b-16)/4

Step-by-step explanation:

1/4×3(8a-5b-4)-(4a+1)+4b

Simplify:

-4a-1+4b+1/4×3×8a-1/4×3×5b-1/4×3×4

=1/4xax24-4a-1/4bx15+4b-1/4×12-1

=1ax24/4 -4a - 1bx15/4 +4b -1×12/4 -1

=ax24/4 -4a -bx15/4 + 4b -12/4 -1

= -4a + 24a/4 + 4b - 15b/4 -1 -3

= -4a + 6a + 4b - 15b/4 - 4

= 2a + 4b - 15b/4 - 4

= 8a + 16b - 15b - 16 / 4

= (8a + b - 16) / 4

= 8a + b - 16 / 4

Answer:

5.83units

Step-by-step explanation:

from Pythagoras theorem;

a^2=b^2+c^2

where a is the hypotenuse,b is the opposite and c is the adjacent

b=3 and c=5

a^2=3^2+5^2

a^2=9+25

a^2=34

find the square root of both sides,

√a^2=√34

a=5.83units

Answer:5.83

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

We know that the center is (0,0) and the radius is |3 - 0| = 3.

Standard form of a circle: (x - h)² + (y - k)² = r² where (h, k) is the center and r is the radius. Plugging in h = 0, k = 0 and r = 3 gives us x² + y² = 9.

Answer:

See below.

Step-by-step explanation:

The equation for a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h,k) is the center and r is the radius.

From the graph, we can see that (0,0) is the center.

Thus, h=0 and k=0:

[tex]x^2+y^2=r^2[/tex]

From the graph, we can also see that the radius is 3 as (-3,0) and (3,0) are points on the circle.

Thus, r=3, and r^2=9.

The equation is:

[tex]x^2+y^2=9[/tex]

Answer:

199,526,231.50

Step-by-step explanation:

Mathematically, we use the Logarithmic relation below;

R = Log T

8.3 = Log T

T = (Log)^-1 8.3

T = 199,526,231.49688828

Which to the nearest hundredth is T = 199,526,231.50

Answer:

From the graph, the y-intercept is 9 and the slope is -1 so the equation is y = -x + 9. We know the slope is -1 because when x goes up by 1, y decreases by 1.

Step-by-step explanation:

When we know both the x- and y-intercepts of a line, we can conveniently use the intercept form.

Let

A=x-intercept=9

B=y-intercept=9

the intercept form of the equation is therefore

x/A + y/B =1

substituting numerical values,

x/9 + y/9 =1  ..........................(1)

Factoring the identical denominators

(x+y)/9 = 1

Cross multiply

x+y = 9  ...............................(2)

Both (1) and (2) are valid forms of equation of the given line.

Answer: The missing length is 16/3

Step-by-step explanation:

First, you have to find the proportional value between the two lengths on the first figure and the two lengths on the second figure.

The first figure’s lengths are 8 and 9, so the shorter length is 8/9 of the longer length.

Now apply the same proportional value to the second figure.

6 * 8/9 = 48/9

48/9 = 16/3

Answer:

1.619

Step-by-step explanation:

We have the formulas for the volume of the sphere and the cylinder:

Vs = (4/3) * pi * (r ^ 3)

Vc = pi * h * (r ^ 2)

Thus:

(4/3) * pi * (r ^ 3) + pi * h * (r ^ 2) = 10

Now, the formula for the surface area of the cylinder and sphere are:

As = 4 * pi * (r ^ 2)

Ac = 2 * pi * r * h + 2 * pi * r ^ 2

Using this equation for the total surface area of the solid, we can see that as "h" increases, so will the surface area. Therefore, the smallest surface area will occur at h = 0.

Thus:

(4/3) * pi * (r ^ 3) + pi * 0 * (r ^ 2) = 10

(4/3) * pi * (r ^ 3) = 10

r ^ 3 = 4 * 10 / (3 * 3.14)

r ^ 3 = 4.24

r = 1.619

so the radius is 1.619

Answer:

24 g

Step-by-step explanation:

hello,

The big cube is compose by the 8 small cubes.

Because of the symmetry we can check what's happening to one of this small cube.

As Amanda has already painted the big cube it means that the same cube has 3 faces painted, so 3 faces are left unpainted. only 50 % is painted.

so Amanda need 24 grams to paint the unpainted surfaces of the 8 cubes.

hope this helps

Answer:

Step-by-step explanation:

= x^2+6x+9-8=0

=x^2+6x+1=0

D=b^2-4ac

D= 36-4

D=32

x=-b±root D/2a

x=-6+4root2/2     ,    x = -6-4root2/2

simplify you get the least form...

hope it helps

I hope this helps you

Answer:

The correct option is;

Marcel did not put the first and second term in the same order

Step-by-step explanation:

From the multiplication table the equivalent ratios of two numbers can be found given that the two numbers have the same factors which is true if the numbers are on the same column in the multiplication table

Therefore, having the numbers ratio presented in the form 72:24 which are on the row labelled 3 and the row labelled 9, we have that the 72 is on row 9 while the 24 is on row 3, for which on the second column, we have 6:18

However the ordering of the ratio gives the value on the 9th column first before the value on the 3rd column, so that the correct result should be 18:6

The error was that Marcel did not put the first and second term in the same order.

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello,

Is this equality true ?

sec x csc x(tan x + cot x) = 2+tan^2 x + cot^2 x

1. let 's estimate the left part of the equation

[tex]sec(x)csc(x)(tan(x) + cot(x)) =\dfrac{1}{cos(x)sin(x)}*(\dfrac{sin(x)}{cos(x)}+\dfrac{cos(x)}{sin(x)})\\\\=\dfrac{1}{cos(x)sin(x)}*(\dfrac{sin^2(x)+cos^2(x)}{sin(x)cos(x)})\\\\=\dfrac{1}{cos(x)sin(x)}*(\dfrac{1}{sin(x)cos(x)})\\\\\\=\dfrac{1}{cos^2(x)sin^2(x)}[/tex]

1. let 's estimate the right part of the equation

[tex]2+tan^2(x) + cot^2(x)=2+\dfrac{sin^2(x)}{cos^2(x)}+\dfrac{cos^2(x)}{sin^2(x)}\\\\=\dfrac{2cos^2(x)sin^2(x)+cos^4(x)+sin^4(x)}{cos^2(x)sin^2(x)}\\\\=\dfrac{(cos^2(x)+sin^2(x))^2}{cos^2(x)sin^2(x)}\\\\=\dfrac{1^2}{cos^2(x)sin^2(x)}\\\\=\dfrac{1}{cos^2(x)sin^2(x)}[/tex]

This is the same expression

So

sec x csc x(tan x + cot x) = 2+tan^2 x + cot^2 x

hope this helps

Answer:

B and  C

Step-by-step explanation:

Since all of it's sides are unequal, it is a scalene triangle.

It has 1 obtuse angle, so it is an obtuse angled triangle.

Answer:

1) Qs= 24.4 cm

2) Perimeter= 72.8 m

Step-by-step explanation:

1).let qs= qos

Op is the height of the the triangle

Op= ,6.8cm

Angle ops = 180-(90+50)

Angle ops = 180-140

Angle ops = 40

Os/sin ops= op/sin pso

Os/sin 40= 6.8/sin 50

Os = sin 40(6.8)/sin50

Os= 0.6428(6.8)/0.7660

Os= 5.71

Angle oqp = 180-(90+70)

Angle oqp = 180-160.

Angle oqp = 20

Oq/sin qpo = op/sin oqp

Oq/sin 70=6.8/sin 20

Oq= sin70(6.8)/sin20

Oq= 0.9397(6.8)/0.3420

Oq= 18.68

Qs= os +oq

Qs= 5.71+18.68

Qs= 24.39

Qs= 24.4 cm

2). The other angle of the triangle

=180-90-53

= 37

Sin90 = 1

Let the length and breadth be x and y

X /sin 53 = 26

X= 26(sin53)

X= 26(0.7986)

X= 20.7636

Y/sin 37 = 26

Y= 26(0.6018)

Y= 15.6468

Perimeter= 2(x+y).

Perimeter= 2( 20.7636+15.6468)

Perimeter= 2(36.4104)

Perimeter= 72.8208 m

Perimeter= 72.8 m

Answer:

The solution to the question is g = 52

Step-by-step explanation:

Here, we want to find the solution to the equation ;

98 + g = 150

Apparently, we want to find the value of g.

To get the value of g, what we simply need is to bring 98 over the equal sign and this gives

g = 150-98

g = 52

Answer: B or how some people say it the second question. EDGE-MATHMATICS 2022

THE ANSWER IS B

step-by-step explanation: it is the second option  because when you find out what number g is (52) you can take 98-98= 0 + g/52 and get 52.

and then the second part of it says 150-98 which is 52! so  your answer is B hope this helps! have a wonderful day!

Answer:

1. 1760

2. 1400

Step-by-step explanation:

2^5 = 32

32 × 5 = 160

160 × 11 = 1760

2^3 = 8

5^2 = 25

8 × 25 = 200

200 × 7 = 1400

Answer:

x = 60, y = 50

Step-by-step explanation:

60 + 50 = 110 + 70 = 180.

50 + 70 = 120 + 6 = 180.

Therefore 50 + 70 + x = 60

Therefore 70 + 60 + y = 50

Answer:

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

x + 70 + 50 = 180

x + 120 = 180

x = 60

The other triangle's missing angle:

180 - 60 - 50 = 70

Angles on a straight line add up to 180 degrees.

70 + x + y = 180

We know the value of x.

70 + 60 + y = 180

Solve for y.

130 + y = 180

y = 180 - 130

y = 50

Answer:

£144

Step-by-step explanation:

DVD to be due on 26 of November

She returned it to the shop on 12 of December

Extra days:

November has a total of 30 days less 26 days=4 extra days

December 12 =12 extra days

Total extra days =4+12=16 days

Fine per day=£9

Total fine paid by Amelia=£9*16

=£144

Answer:

we know that, the point where the diagonals meet creates angles and these angles can indeed sum upto 360 degrees. and these angles, most likely are 90 degrees, since 90+90+90+90=360 degrees.( and the diagonals of a rhombus meet at approximately right angles)

lets take a triangle out of the rhombus, ( the triangle with angle 22)

here, we have two angles, 22 degrees and 90 degrees( angle at the diagonals); we also know that interior angles of a triangle is 180 degrees.

so, 22+90+unknown = 180 degrees

112+ unknown=180

unknown = 180 -112

                = 68 degrees

we have found that the angle next to x is 68 degrees and that interior angles of the rhombus is 360, which means that each interior angle sums upto 90 degrees. lets take the angle beside x as z. since we have found that z= 68 degrees, 90-68 degrees gives x which is 22 degrees.

so, x= 22 and y= 90

Answer:

k = 50

Step-by-step explanation:

The scale 1 cm represents 50m

It means that 1 cm length of pictorial representation of any obejct  is equivalent to 50m in reality.

In scale terms it can be represented in ratio form of a:b

where

a is the length of picture and b is actual length

here length of pictorial representation is 1 cm

and 50m is actual length

thus scale will be  1:50

But is given that The scale 1 cm represents 50m can be written in the form 1:k.

1:50 is same as 1:k

thus

1:50 = 1:k

we know that in ratio

if a:b = c:d

then

a= c  and b = d

Thus,

k = 50 Answer

Answer:

It was a gain, specifically 16

Step-by-step explanation:

14 + (-7) = 7

7 + 9 = 16

Please tell me if I'm wrong.

Answer:

[tex]a^3+3a^2b+3ab^2+b^3[/tex]

Step-by-step explanation:

If have [tex](a+b)^3[/tex], we can solve this as:

[tex](a+b)(a+b)(a+b)[/tex]

So, applying distribution with the first two factors and simplifying, we get:

[tex](a^2+ba+ab+b^2)(a+b)\\(a^2+2ab+b^2)(a+b)[/tex]

Then, multiplying both expressions and simplifying again, we get:

[tex]a^3+a^2b+2a^2b+2ab^2+b^2a+b^3\\a^3+3a^2b+3ab^2+b^3[/tex]

Answer:

x + 3y - 10 = 0.

Step-by-step explanation:

Since the slope is -1/3 and the y-intercept is 10/3, we can have a slope-intercept form of y = -1/3x + 10/3.

Multiply all terms by 3

3y = -x + 10

Add x to both sides

x + 3y = 10

Subtract ten from both sides

x + 3y - 10 = 0.

Hope this helps!

Answer:

x+3y -10 =0

Step-by-step explanation:

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -1/3x + 10/3

Multiply each side by 3 to get rid of the fraction

3*y = 3*(-1/3x + 10/3)

3y = -x + 10

Add x to each side

x+3y = 10

Subtract 10 from each side

x+3y -10 =0

The general from is

Ax + By +C = 0 where A is a positive integer and B and C are integers

Answer:

25.5°

Step-by-step explanation:

the sum of angle NMR and MRS is 180, so

2x + x + x + 78 = 180

4x = 180 - 78

4x = 102

x = 102/4 = 25.5°

Answer:

End points of the this segment are (9,1) and (2,3).

Step-by-step explanation:

The given function is

[tex]y=h(x)[/tex]

End points of the this segment are (1,9) and (3,2).

If a function is defined as

[tex]f=\{(a,b),a\in R,b\in R\}[/tex] then

[tex]f^{-1}=\{(b,a),a\in R,b\in R\}[/tex]

It means, we have to interchange x and y-coordinates of the end points.

So, end points of the this segment are (9,1) and (2,3).

Plot these point and join them by a line segment.

The inverse of the function will be a line segment joining the points (9,1) and (2,3). See the graph.

Given information:

The function y=h(x) is a line segment joining the points (1,9) and (3,2).

So, the endpoints of the function y=h(x) can be written as,

[tex]y=h(x)=\{(1,9),(3,2)\}[/tex]

The inverse of a function is simply the opposite relation. In the inverse, the range and domain interchange themselves.

So, the inverse of the given function can be written as,

[tex]y=h^{-1}(x)=\{(9,1),(2,3)\}[/tex]

Refer to the graph of the function for more details.

For more details, refer to the link:

https://brainly.com/question/10300045

Answer:

C

Step-by-step explanation:

To make it easy let's start by organizing our information :

What do you think of when you hear a right triangle ?

AC and BD  are khown so let's focus on them .

If we concentrated we can notice that AB and BD are cossing each other in the midpoints . why ?

Simply because they are the diagonals of a rhombus .

ow let's apply the pythagorian theorem :

Now we khow that : AB=BC=CD=AD=[tex]\sqrt{52}[/tex]

This isn't enough . Let's try to figure out a way to calculate the length of KL  wich is the base of the triangle

I smell something . yes! Thales theorem

Now we have the length of the base kl

Now the big boss the height :

What I want to do is to apply the pythgorian thaorem to khow the lenght of that small part that is not a part of the height of the triangle . I will call it D

now the height of the trigle is H= BD-D= 8-2=6

NOw the area of the triangle is :

THE ANSWER IS 18 SQ.UN