Expand brackets 4(y+2)

Answer:

Area: T = 18

a.  The triangle area using Heron's formula: T=  sqrt(s(s−a)(s−b)(s−c) )

​b. 2[tex]\sqrt{10}[/tex]  

c. h = 5.69

d. T = 18

Step-by-step explanation:

a. T=  sqrt(s(s−a)(s−b)(s−c) )

T=sqrt( 11.16(11.16−10)(11.16−6)(11.16−6.32) )

​T=  sqrt(324 )

​T =18

b. We compute the base from coordinates using the Pythagorean theorem

c=  sqrt( ((−2−4)^2)+ ((1−3) ^2) )

c= sqrt(40) = 2sqrt(10)

c. Calculate the heights of the triangle from its area

​  

Answer:

36,465.1875

Step-by-step explanation:

The colony grows by 5% each hour, so you take the current total of bacteria, (100%) and add 5%. Every hour, you multiply the current total by 105%.

Hope this helps :)

Answer:

[tex]\approx10.29\text{ feet}[/tex]

Step-by-step explanation:

Please refer to the attachment.

By AA Similarity, the two triangles are similar.

Therefore, corresponding parts of them are proportional.

Therefore, we can write the following proportion:

[tex]\frac{7}{24}=\frac{3}{x+3}[/tex]

We will solve for x. Cross-multiply:

[tex]7(x+3)=24(3)[/tex]

Distribute:

[tex]7x+21=72[/tex]

Subtract 21 from both sides:

[tex]7x=51[/tex]

Divide both sides by 7. So, the value of x is:

[tex]x\approx7.2857[/tex]

However, that is only the value of x.

The shadow of the tree is (x+3).

Hence, we will need tot add 3 to our value. Therefore, the actual length of the shadow of the tree is approximately:

[tex]\approx10.2857\approx10.29\text{ feet}[/tex]

Answer:

y - 4 = -5(x - -6)

Step-by-step explanation:

its correct

Answer:18 6/7

Step-by-step explanation:

Answer:

the answer is

=18 6/7

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

2(4+1)-5

2(5)-5

10-5

5

Answer:

80

Step-by-step explanation:

160÷2=80 yay!!!!!!!!!!!

Answer:

(By mints I hoped you meant candy) 480 packs of gum

Step-by-step explanation:

2 packs of candy for every 6 packs of gum. Divided beach side by two to get ration of 1:3. This means that for every 1 pack of candy 3 packs of gum are sold. 160 x 3 = 480.

Answer:

The estimate rounding to the nearest whole is 94%, the specific answer is 94.12%.

Step-by-step explanation:

calculator lol

Answer:

[tex]d = 2.5r[/tex] and [tex]r = \frac{d}{2.5}[/tex]

Step-by-step explanation:

Given

5 daises to 2 roses

Required

Determine the relationship between them

The question shows a direct proportion between number of daises and roses.

i.e.

[tex]d\ \alpha\ r[/tex]

Where d = daises and r = roses

Convert the above expression to an equation

[tex]d = kr[/tex]

Make k the subject

[tex]k = \frac{d}{r}[/tex]

When d = 5 and r = 2;

[tex]k = \frac{5}{2}[/tex]

[tex]k = 2.5[/tex]

So, the first relationship between d and r can be gotten by substituting 2.5 for k in d = kr

So:

[tex]d = 2.5 * r[/tex]

[tex]d = 2.5r[/tex] ----------- (1)

Make r the subject in (1)

[tex]r = \frac{d}{2.5}[/tex] ------------------------(2)

Hence, the relationships between d and r are:

[tex]d = 2.5r[/tex] and [tex]r = \frac{d}{2.5}[/tex]

Answer:

A= 12

B = -4

Step-by-step explanation:

( -3,0) & (0,9) should satisfy the equation Ax + By = -36

when ( -3,0)

-3A+ 0 = -36

A = 12

when (0,9)

0 + 9B = -36

B = -4

The value of A and B is 12 and -4.

Given that,

Based on the above information, the calculation is as follows:

Ax + By = -36

When (-3,0)

So,

-3A+ 0 = -36

A = 12

Now  

when (0,9)

So,  

0 + 9B = -36

B = -4

Therefore we can conclude that the value of A and B is 12 and -4.

Learn more: brainly.com/question/3334417

Step-by-step explanation:

15÷3+10

5+10

15

=15,521÷15

=1034.73

=3015÷15-186

=201-186

=15

=20×15^2÷30

=4500÷30

=150

=2×15^2÷5-25

=450÷5-25

=90-25

=65

Answer:

Train B catches up with train A at 2.25 h

The two trains meet at 108 Km from the start

Step-by-step explanation:

Relative Speed

There are two trains, A and B leaving the same station. Train A leaves 45 minutes before train B at va=36 Km/h. Train B travels at vb=48 Km/h in the same direction, so they eventually meet.

i)

Calculate the head start of train A Xh, i.e. the distance it traveled in 45 minutes = 45/60=0.75 h.

[tex]X_h=36*0.75=27~Km[/tex]

When train A is 27 Km ahead, train B leaves the station. The relative speed between them is vb-ba=48 - 36 = 12 Km/h.

Thus, for train B to meet with train A, the head start must be traveled at the relative speed.

The time needed to do that is:

[tex]\displaystyle t=\frac{27~Km}{12~Km/h}[/tex]

t = 2.25 h

Train B catches up with train A at 2.25 h

ii) In the time calculated above, train B has traveled a distance of:

[tex]X_b=48~Km/h*2.25~h=108~Km[/tex]

The two trains meet at 108 Km from the start

Answer:

its D 25

i just know stuff

Answer:

5.83

Step-by-step explanation:

70 / 12

Answer:

6.3

Step-by-step explanation:

You want to add 1, 5, and 70 up. Then you would get 76. Next you want to divide 76 into 12. And there you go, 6.3 is the answer

(I hoped this helped. This was a bit confusing to me and difficult but i wanna try to be useful for once lol..)

Answer:

[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {3}{7}}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {3×3}{7×3}}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {9}{2}}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {1}{3}}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {1×7}{3×7}}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {7}{21}}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {9}{21}}\iff {\dfrac {7}{21}}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf {\dfrac{9}{21}} \gt {\dfrac {7}{21}}[/tex]

[tex]\therefore[/tex][tex]\sf {\dfrac {3}{7}} \gt {\dfrac {7}{21}}[/tex]

There is a typo in the question. Where it reads 'state of' should read 'shaded'

Answer:

[tex]A=27.47\ mm^2[/tex]

Step-by-step explanation:

Area of a Circle

Given a circle of radius r, its area can be calculated as follows:

[tex]A=\pi r^2[/tex]

The area of the shaded region can be found by subtracting the area of the large circle minus the area of the small circle.

We already know the area of the large circle:

[tex]A_l=28.26\ mm^2[/tex]

Now we calculate the area of the small circle of radius r=0.5 mm:

[tex]A_s=\pi\cdot 0.5^2[/tex]

Calculating:

[tex]A_s=0.79\ mm^2[/tex]

The area of the shaded region is:

[tex]A=A_l-A_s=28.26\ mm^2-0.79\ mm^2[/tex]

[tex]\mathbf{A=27.47\ mm^2}[/tex]

Answer:

3, 5, 7, 9, 11, .........

Step-by-step explanation:

Given

[tex]S_{n}[/tex] = n(n + 2) , then

S₁ = 1(1 + 2) = 1(3) = 3 ⇒ a₁ = 3

S₂ = 2(2 + 2) = 2(4) = 8

S₃ = 3(3 + 2) = 3(5) = 15

Thus

a₂ = S₂ - S₁ = 8 - 3 = 5

a₃ = S₃ - S₂ = 15 - 8 = 7

The first 3 terms are 3, 5, 7

This is an AP with common difference d = 2, then

a₄ = a₃ + 2 = 7 + 2 = 9

a₅ = a₄ + 2 = 9 + 2 = 11

and so on

Answer:

[tex]y=-\frac{9}{8} x+7[/tex]

Step-by-step explanation:

The slope is found by doing the equation [tex]\frac{rise}{run}[/tex]. When looking at the first two points, it's shown that the rise (difference between the two y values) is -9 (since it decreased by 9) and the run (difference between the two x values) is 8 (since it increased by 8). This makes the slope equal [tex]-\frac{9}{8}[/tex].

The y intercept is found by looking at the y value when x = 0. In this picture, it is clear that it is 7.

The equation you want to use is y = mx + b , where b is the y intercept and m is the slope. Just plug in the numbers and you got your equation!

Answer/Step-by-step explanation:

10 is between the perfect squares of 9(3) and 16(4).

This means the square root of 10 is between 3 and 4.

The square root of 10 is about 3.162

So, it is less than 5.

Answer:

c. It is a straight object that begins at a point and extends forever in one direction. It could be considered half of a line.

Step-by-step explanation:

A ray is a line that begins at a point and extend forever in one direction. It has no end point. It has a start point but no end point. So, C is the correct answer.

Answer:

3

Step-by-step explanation:

hihihihihihihihihihihihihi

Step-by-step explanation:

HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS!!

Step-by-step explanation:

Hope this helps, happy learning!!!

The diagram of translatation FGH 3 units down and 2 units left followed by a rotation counterclockwise 90° is attached below.

Dilation is the process of increasing the size of an item without affecting its form.

Depending on the scale factor, the object's size can be raised or lowered.

The translate FGH 3 units down and 2 units left followed by a rotation counterclockwise 90°.Then followed by a dilation by a scale factor of 2.

F ( -1, 0)

G (1, 0)

H ( -1, 1)

Thus, counterclockwise 90°

F' ( 0, 1)

G' (0, -1)

H' ( -1, -1)

Scale factor = 2

Then

F'' ( 0, 2)

G'' (0, -2)

H'' ( -2, -2)

The diagram of translatation FGH 3 units down and 2 units left followed by a rotation counterclockwise 90° is attached below.

To learn more about dilation, refer to;

brainly.com/question/13176891.

#SPJ2

Answer:

a. true

b. false

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

first take out the cost of the cup 31.75-6.75=25

then divide by the cost of the refills 25/1.25=20

hope this helps :)

Answer:

nothing definite can be said and square

Answer:

option no b is correct area of circle>area of square.

Step-by-step explanation: