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2 years ago

Suppose that Y and Z are points on the number line.

Mathematics

1 answer:

gizmo_the_mogwai [7]2 years ago

7 0

Answer:

Z will be at point 21-22

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A toy shop purchases 125 identical stuffed animals for a total cost of $312.50 and sells them for $7 each. What is the markup?

guapka [62]

125 x 7.- $312.50 = $562.5

3 0

2 years ago

Rampur Sarpanch requested one of his villager to donate a 6m wide land adjusted to his 132.8m long side of his right triangular

Ronch [10]

Answer:

Area of the remaining triangle with the villager is 1243.13 m²

Step-by-step explanation:

Triangle ABC is the triangular plot of a villager shown in the figure attached.

Sarpanch requested the villager to donate land which is 6 m wide and along the side AC which measures 132.8m.

Other sides of the plot has been given as AB = 50m and BC = 123 m.

Now area of this land before donation = $\frac{1}{2}\times {\text{Height}}\times \taxt{Base}$

= $\frac{1}{2}\times (123)\times (50)$

= 3075 square meter

After donation of the land the triangle formed is ΔDBE.

In ΔABC,

$tan(ABC)=(\frac{AB}{BC})$

tan(∠ABC) = $\frac{50}{123}$

= 0.4065

∠ABC = $tan^{-1}(0.4065)$

= 22.12°

In ΔEFC,

tanC = $\frac{EF}{CF}$

0.4065 = $\frac{6}{CF}$

CF = $\frac{6}{0.4065}$

CF = 14.76 m

Since DE = AC - (CF + AG)

= 132.8 - (2×14.76)

= 132.8 - 29.52

= 102.48 m

Now in ΔDBE,

sin(∠DEB) = $\frac{BE}{DE}$

sin(22.12) = $\frac{BE}{102.48}$

DB = 102.48×0.3765

= 38.59 m

Similarly, cos(22.12) = $\frac{BE}{DE}$

0.9264 = $\frac{BE}{102.48}$

BE = 102.48×0.9264

= 94.94m

Now area of ΔDBE = $\frac{1}{2}(DB)(BE)$

= $\frac{1}{2}(38.59)(94.94)$

= 1831.87 square meter

Area of remaining triangle with the villager = Area of ΔABC - Area of ΔDBE

= 3075 - 1831.87

= 1243.13 square meter

3 0

3 years ago

Frank says that for any whole number n, the value of 6n-1 is always prime. Is Frank correct? Explain your answer.

Lady bird [3.3K]

Answer:

Frank is wrong

Step-by-step explanation:

$6(6) - 1 = 35$

35 is a multiply by 5 so it is not a prime number.

8 0

3 years ago

5-2(4a+1)+3a=13 A= 2/3 A= -2 A= -6/5 A=2

VMariaS [17]

Answer:

a = -2

Simplifying 5 + -2(4a + 1) + 3a = 13 Reorder the terms: 5 + -2(1 + 4a) + 3a = 13 5 + (1 * -2 + 4a * -2) + 3a = 13 5 + (-2 + -8a) + 3a = 13 Combine like terms: 5 + -2 = 3 3 + -8a + 3a = 13 Combine like terms: -8a + 3a = -5a 3 + -5a = 13 Solving 3 + -5a = 13 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5a = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -5a = 13 + -3 -5a = 13 + -3 Combine like terms: 13 + -3 = 10 -5a = 10 Divide each side by '-5'. a = -2

6 0

2 years ago

How many grams are there in 2.5 kilograms

Jobisdone [24]

1 Kg = 1000 g

1000 * 2.5 =

2500 g (your answer)

7 0

3 years ago