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3 years ago

HELP PLEASE 10 POINTS AND BRAINLIST FOR ANSWER!

Mathematics

2 answers:

skelet666 [1.2K]3 years ago

8 0

Answer:

2 grams

Step-by-step explanation:

One can see that the given diagram is that of a balancing scale, meanig that both sides are equal to each other. Therefore, if one calls the weight of the triangle (t), then one can form an equation. Keep in mind that it is given that the square weighs (4) grams, and therefore, the square doesn't need a variable representation.

t + 4 + 4 = t + t + t + 4

Simplify,

t + 8 = 3t + 4

Inverse operations,

t + 8 = 3t + 4

-4 -4

t + 4 = 3t

-t -t

4 = 2t

/2 /2

2 = t

Paul [167]3 years ago

6 0

Answer:

2 grames

Step-by-step explanation:

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6. (02.01 MC)

Oksana_A [137]

Answer:

A)i) Population: Total number of people that reside in Florida..

II) Sample: 62348 people that took part in the random survey.

B) No, the estimates are not close to the truth of the entire population.

Step-by-step explanation:

A)i) The population is the total number of people that reside in Florida.

II) The sample is the 62348 people that took part in the random survey.

B) From the details given in the question, we will see that people who are not part of the healthcare system weren't included due to the fact that they used patients records to judge. This means that if they don't have healthcare, then they will have no patient records. Therefore, we can conclude that the estimates are not close to the truth of the entire population due to the fact that that those who weren't part of the Healthcare system were not considered.

7 0

3 years ago

Find the domain of the function: <img src="https://tex.z-dn.net/?f=h%28x%29%20%3D%20%5Cfrac%7B6%7D%7Bx%5E%7B2%7D-4x%7D" id="TexF

ivolga24 [154]

Answer:All real numbers except for 0 and 4.

Step-by-step explanation:

The denominator cant be zero so we take it and equal it to zero. For the denominator to equal to zero, either x = 0 or x=4 yields 0.

8 0

3 years ago

Can someone help me

djverab [1.8K]

Step-by-step explanation:

10)

any triangle inscribed into a circle with the baseline being a diameter of the circle must be a right-angled triangle.

the arc angle of 84° means that also the angle at Q is 84°, because the arc angle is the same as the segment angle at the center of the circle (that is how arc sngles are defined).

that means the supplementary angle (together they have 180°) of Q at the inner top angle of the small left triangle is 180 - 84 = 96°.

as the legs of this small left triangle are both the radius of the circle, this triangle is an isoceles triangle (both legs are equally long, and both angles at its baseline are equally large).

remember, the sum of all angles in a triangle is always 180°.

so,

y = (180 - 96)/2 = 42°

x is a complimentary angle (together they are 90°, remember, the large triangle is inscribed and is right-angled) to the second 42° angle

x = 90 - 42 = 48°

11)

y is the supplementary angle to 126°

y = 180 - 126 = 54°

this inner segment angle is the mean value between the 2 outer angles.

54 = (57 + 2nd outer angle of y)/2

108 = 57 + 2nd outer angle of y

2nd outer angle of y = 108 - 57 = 51°

all arc angles around a circle must be 360°.

x = 360 - 57 - 104 - 51 = 148°

12)

again, all arc angles together must be 360°.

y = 360 - 148 = 212°

x is the same angle as the top angle of a triangle inscribed to the right of the chord.

and that angle is half of the opposing arc angle (148°).

it is therefore 148/2 = 74°

and so,

x = 74°

6 0

2 years ago

Lily invested $750 in a savings account and earned $225 in interest at the end of 5 years.

slava [35]

After 5 years Lily has $750+$225 = $975
The equation for interest rate looks like:
750 * x^5 = 975
x^5 = 975/750
x^5 = 1.3
x = $\sqrt[5]{1.3}$
x = 1,0538
That means that interest rate is approximately 5,5% (B)

The reason for this calculation is because each year you multiply your money with interest rate and add that to your starting money.
After one year you will earn
750 + 750 * interest rate = money after 1 year.
After 5 years we multiply 5 times so our interest rate is x^5 and money after 5 years is 750 + 225.

4 0

3 years ago

In circle K shown below, points B, C, D, and E lie on the circle with secants HBD and HCE drawn. Prove:

Alexxx [7]

Answer:

By exterior angle theorem, we have;

∠DBE = ∠H + ∠HEB = ∠ECD = ∠H + ∠HDC

∴ ∠H + ∠HEB = ∠H + ∠HDC

By addition property of equality, we have

∠HEB = ∠HDC

∠H = ∠H by reflexive property

∴ ΔHCD ~ ΔHEB by Angle Angle AA similarity postulate

∴ HE/HD = EB/DC, by the definition of similarity

Therefore, by cross multiplication, we have;

HE × DC = EB × HD

Therefore, by commutative property of multiplication, we have;

HE × DC = HD × EB

Step-by-step explanation:

3 0

3 years ago