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2 years ago

SOMEONE PLEASE HELP ME

Mathematics

2 answers:

blagie [28]2 years ago

6 0

Answer:

∠1=55°

Step-by-step explanation:

Since all the angles in a triangle have to add up to 180° we can make an equation

80°+45°+∠1=180°

∠1=55°

storchak [24]2 years ago

5 0

180-(45+80)=55
Triangle Q S R =180

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Which of the following is true about the system 4/3x−2/5y=2 and 3x−2y=−1?

lilavasa [31]

Equation 1 is $\frac{4}{3}x -\frac{2}{5}y =2$ ,

Equation 2 is [/tex] 3x-2y = -1 [/tex]

for first equation LCD= 3 *5 = 15 , So we multiply whole equation by 15

$\frac{4}{3} *15x -\frac{2}{5}*15 y =2*15$

$20x - 6y = 30$

Now multiply second equation by -3 , to make the coefficient of y equal and opposite , so that we can apply the elimination method

$-9x+6y = 3$

Add both the equations

$20x -9x -6y +6y = 30+3$

$11x= 33$

Divide both sides by 11

$x=3$

Plug in any one of the equation we get

3(3) -2y = -1

9 - 2y = -1

subtract 9 from both sides

-2y = -10

divide both sides by -2

y=5

So the solution is x= 3 , y= 5

Which means

a. The system is consistent and independent. TRUE

7 0

3 years ago

What is the height of cone S?

balu736 [363]

Answer:

12 cm

Step-by-step explanation:

First, we find the scale factor from cone S to cone T.

ratio of volumes = (vol of T)/(vol of S) = (6144 pi cm^3)/(768 pi cm^3) = 8

The ratio of the volumes is 8:1

The scale factor, which is the ratio of linear dimensions (height, radius, etc.), is the cubic root of the ratio of the volumes.

scale factor = cubic root of 8 = 2

The height of cube T is 24 cm, so the height of cube S is 24 cm/2 = 12 cm.

4 0

3 years ago

Read 2 more answers

A farmer market has 7/9 bushel of plums when it opens in the morning.By noon ,1/3of the plums are left .How many ,plums in bushe

FromTheMoon [43]

Answer:

farmers market sold 4/9 plums in bushel

Step-by-step explanation:

We know that at the beginning of the day we have 7/9 of a bushel of plums and that after a while there are 1/3 of a bushel of plums, so to calculate how many were sold we have to subtract the bushel of plums that were left from the initial ones

7/9 - 1/3

if we want to do this subtraction we have to find a fraction equivalent to 1/3 that can be subtracted from 7/9

1/3 = (1 * 3) / (3 * 3) = 3/9

now we are just the top and leave the denominator the same as before

7/9 - 3/9 = 4/9

8 0

3 years ago

Read 2 more answers

Tom plants 3 seeds.

Rasek [7]

Answer:

A. 64/125

B. 124/125.

Step-by-step explanation:

A). As the events ( germinate or not germinate) are independent we multiply the probabilities.

Prob(All seeds germinate) = 4/5*4/5*4/5 = 64/125.

B). Probability of at least one germinating = 1 - probability that none germinate

Probability of 1 seed not germinating = 1 -45 = 1/5.

So Prob(at least one germinating)

= 1 - (1/5 * 1/5 * 1/5)

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3 years ago

The mold for a cone has a diameter of 4 inches in 6 inches tall what is the volume of the cone mold to the nearest 10th

anygoal [31]

Hey there!

The formula for the volume of a cone is $V=\pi r^{2} \frac{h}{3}$ .

In this cone, we have the given information:

Its diameter is 4 inches
Its height is 6 inches

The information we need for this formula is the radius and height.

We already have the height, but not the radius.

Fortunately, we can easily get it by dividing the diameter by 2.

$4 \div 2 = 2$

So, the radius is 2.

Let 3.14 be $\pi$ .

Plug in each value into the equation. $V = 3.14 \times 2^{2} \times \frac{6}{3}$

Simplify the exponent and fraction.

$V = 3.14 \times 4 \times 2$

Multiply the three numbers together.

$V = 25.12$

But wait! We have to round this to the nearest tenth.

When rounding, we look at the place value one less than the one we are rounding to. Since we are rounding to the nearest tenth, we look at the hundredths place, which is the digit 2.

Since 2 is less than 5, we round down to 25.1.

This is the volume of a cube, and it is measured in inches, so the unit we will use is $in^{3}$ .

So, your <u>final answer</u> is $25.1 in^{3}$ !

Hope this helps!

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2 years ago