Will you need to change the inequality sign in the problem

Step-by-step explanation:

The semi-perimeter is:

s = (a + b + c) / 2

= (10 + 24 + 26) / 2

= 47

We will find the area of the triangle using the Heron's formula.

A = √[s (s - a) (s - b) (s - c)]

= √[47 (47 - 10) (47- 24) (47 - 26)]

= √10 × 37 × 23 × 21

= √ 56513

Answer: \(y = \frac{1}{4} x - 1\)

Step-by-step explanation: In general, know that the equation for a linear graph is \(y = mx + b\), where

In our case,

Answer:

1: 50 or F

2: 21 or D

3: 15.50 or C

4: 2.5 or H

Step-by-step explanation:

Answer:

4.9

Step-by-step explanation:

for this I used the sine rule so I did 6/sin 70 × sin 50

Answer:

X is the horizontal line and y is the vertical one- so (1,3) you would move one horizontally (right) and 3 vertically (up)

Answer:

The distance between -3 and 0 is 3.

Step-by-step explanation:

1. First off, draw a number line. Be sure to plot -3 and 0.

2. Count how many numbers are between -3 and 0.

You will see that there is 3.

-3, -2, -1, and then 0.

1, 2, 3 distances apart.

Answer:

9 1/3

Step-by-step explanation:

You just multiply the amount of berries picked by 4, since its 1/4.

Answer:

about ratio equivalence as they solve ratio problems in real world contexts (6. ... ratio of 5 miles to 2 hours corresponds to a rate of 2.5 miles per hour, ... pounds of rice should each person get? ... and ratios to model 5 miles/2 hours as a quantity 2.5 mph. ... I can't say there are 3 times as many boys as girls.

Step-by-step explanation:

Answer:

Total mass of materials = 4.8kg

For gravel

55% of the materials are gravel

So we have

55/100 × 4.8 kg

= 2.64kg

For sand

30% of the materials are sand

We have

30/100 × 4.8

= 1.44kg

For cement

The remaining materials were cement so we add the masses of both the sand and gravel and subtract it from the total mass

That's

4.8 - (2.64 + 1.44)

4.8 - 4.08

= 0.72 kg

She earns £ 800 per week

She receives a raise of 7.5% which is

100 + 7.5 = 107.5%

So we have

107.5 / 100 × £ 800

= £ 860

She now earns £ 860 per week

Hope this helps you

Step-by-step explanation:

1)of 4.8kg concrete 55% is gravel,30% is sand and 15% is cement.

percent=Rate*Base

Pgravel=55%*4.8kg

Pgravel=2.64kg

Psand=30%*4.8kg

Psand=1.44kg

Pcement=15%*4.8kg

Pcement=0.72kg

2)percent=Rate*Base

percent=7.5%*£800

percent=60£

total earn=60£ + £800

total earn=£860

Answer:

the answer is A

Step-by-step explanation:

Answer:

-24n+42

Step-by-step explanation:

Answer:

42−24n

Step-by-step explanation:

Answer:

37 degrees.

Step-by-step explanation:

No matter how much smaller or bigger the shape is, it is still similar to the other shape, meaning they will have different angle measurements, but the degrees will remain the same.

Since Angle A is equal to Angle X. the measure of angle X will be 53 degrees.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

The triangles ABC and XYZ are similar.

Side AB is proportional to side XY

Side AC is proportional to side XZ

Since we know side AB and side XY are proportional to each other, sp there angles must be similar.

Angle A = Angle X

We know that in triangle ABC

Angle A + Angle B + Angle C = 180

Angle A + 90 + 37 = 180

Angle A = 53 degrees

Thus, Since Angle A is equal to Angle X. the measure of angle X will be 53 degrees.

Learn more about the triangles;

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Answer:

75 miles

Step-by-step explanation:

put it in proportion

8/120=5/x

cross multiply

120 times 5 =600

8 times x = 8x

8x=600

divide 8 by both sides

cross out 8/8 and x = 75

Answer:

1) to work out the area of a parallelogram you need to do area= base x height.

6.3x27.3=171.99m^2

2) 420.92/27.4= 15.36mm to 2 decimal places

3) 133.2x30.6=4075.92mm^2

4) 651/61=10.57m to 2 decimal places

5) (32x2)+(34x2)=132mm

6) 40x18=720mm^2

7) (8.8x2)+(7.9x2)=33.4m

8)354/23= 15.39cm to 2 decimal places

9) 44/4=11

11x11=121mm^2

10)55/4=13.75

13.75x13.75=1890.0625cm^2

11) 43x18=774m^2

12) 25x35=875m^2

13)600/16=37.5m

14) 125-(40.5x2)=44.6

44.6/2=22.3

22.3x40.5=903.15cm^2

15) 64.3x4.3=276.49m^2

Step-by-step explanation:

Answer:If the diameter of a circular object is 'd' units, circumference of the object will be represented by,

Circumference =

Now we will evaluate the circumferences of the different objects by the given measures of the diameters.

For Half dollar coins,

Step-by-step explanation:

   cm

For a flying disc,

   cm

For a jar lid,

   cm

For a flowerpot,

   cm

Answer:

124

Step-by-step explanation:

3 * 4 * 5 = 60

8 * 2 * 4 = 64

60 + 64 = 124

Answer:

The Range Stays 48°.

Step-by-step explanation:\

Since the value 80.4° is not the highest and not the lowest value on the list, it does not change the range.

Hope this helps!

Answer:  B.  The range stays 48

Step-by-step explanation:

The largest answer is 105 and the smallest answer is 57.  The range is the range of numbers from smallest to largest so to find the range you subtract the largest and the smallest

Range = 105 - 57

Range = 48

The range will not change because if you put 80.4 in there, it's not the largest or smallest so it does not affect the range.

So answer is B. The range stays 48

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 3x + 2y - 2x + y + 12 is equivalent to x + 3y + 12

2. 4y + 3y + 3x - 6y - 10 - 2 is equivalent to 3x + y - 12

3. x + 3y + 2x - 3x + 7 + 5 is equivalent to 3y + 12

4. I do not know unfortunately

Answer:

See attached image

Step-by-step explanation:

To solve this, first simplify the compound expressions - the ones with multiple x, y terms and see which of the other expressions matches the simplified expression

I will tell you how to solve one of the more complex expressions; the technique is the same for the rest

Let's take the very last expression
4y + 3y + 3x - 6y -10 - 2

To simplify,

group like terms:

=(4y + 3y - 6y) + 3x +(-10 -2)

= y + 3x - 12

Rewriting with x before y gives
3x + y - 12

and there is a matching 3x + y - 12

4y + 3y + 3x - 6y -10 - 2   ⇔  3x + y - 12

The solution is in the attached image

Answer : 5 players

Step - by - step explanation :

First, put the information down . . .

1 out 3 players are new this season

there are 15 players in total

Second, convert ( the denominator [ to 15 ] ) . . .

1/3 x 5/5 = 5/15 <-- 5 players are new this season

tip : when trying to do things like this - multiply the numerator and the denominator by the same number for accurate results !

The number of new players is 5.

Division is breaking a number up into an equal number of parts.

Given that, One out of every 3 players on a soccer team is new this season, There are 15 players on the team in all.

15/3 = 5

Hence, The number of new players is 5.

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By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Answer:

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Step-by-step explanation:

Answer:

-10 over 27

Step-by-step explanation:

you have it right I did the work by paper and this is what I got

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{ - \frac{10}{27}}}}}} \)

Step-by-step explanation:

\( \sf{ - 3 \frac{1}{3} \div 9}\)

Convert the mixed number into improper fraction

\( \longrightarrow{ \sf{ - \frac{ 3 \times 3 + 1}{3} \div 9}}\)

\( \longrightarrow{ \sf{ - \frac{ 9 + 1}{3} \div 9}}\)

\( \longrightarrow{ \sf{ - \frac{ 10}{3} \div 9}}\)

Multiply the dividend by the reciprocal of the divisor. Reciprocal of any number or fraction can be obtained by interchanging the position of numerator and denominator

\( \longrightarrow{ \sf{ - \frac{ 10}{3} \times \frac{1}{9}}} \)

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator

\( \longrightarrow{ \sf{ - \frac{10 \times 1}{3 \times 9}}} \)

\( \longrightarrow{ \sf{ - \frac{10}{27}}} \)

Hope I helped!

Best regards! :D

Answer: swap u and v I don't think w will change

Step-by-step explanation:

-

Answer:

D

Step-by-step explanation:

When you divide with fraction, you multiply by the reciprocal

\(\frac{\frac{3}{5} }{\frac{1}{4} }\)  x \(\frac{\frac{4}{1} }{\frac{4}{1} }\)  If I multiply the numerator and the denominator by \(\frac{4}{1}\) , the numerator is cancelled out and I am left with

\(\frac{3}{5}\) x \(\frac{4}{1}\) = \(\frac{12}{5}\)

Answer:

25

Step-by-step explanation:

4a +12 -2c + c

4( ) + 12 - 2( ) + ( )

4(4) + 12 - 2(3) + 3

16 + 12 - 6 + 3

28 - 6 + 3

22 + 3

25

Helping in the name of Jesus.

Therefore,  4a  +   12   -   2c   +   c  =   25

       a  =   4  

       c  =   3

        4a  +   12   -   2c   +   c

       (4)(4)  +  12  -     (2)(3)   +    3

         16     +   12   -   (2)(3)   +    3

         28      -            (2)(3)    +    3

         28     -   6     +     3

         22    +      3   =   25

Draw a conclusion:

     4a  +   12   -   2c   +   c   =  25

I hope this helps!