Answer:
The value of x is 144°
Step-by-step explanation:
<em>Let us revise some facts about the circle</em>
- The measure of the circle is 360°
- The length of the circle is 2πr (circumference)
- If the length of an arc is a/b of the circumference (its length = a/b ×2πr), then the measure of the arc is also a/b of its measure (its measure = a/b × 360°)
- The measure of any central angle equals the measure of its subtended arc
<em>In the given question</em>
∵ A is the center of the circle
∴ Angle x is a central angle subtended by arc BC
∴ The value of x = the measure of arc BC
∵ The length of the arc BC is 2/5 of the circumference of the circle
∴ The measure of arc BC is 2/5 of the measure of the circle
∵ The measure of the circle = 360°
∴ x = 2/5 × 360°
∴ x = 144°
The value of x is 144°
Equation 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p has the same soltion as the provided equation option second and third are correct.
<h3>What is an expression?</h3>
It is defined as the combination of constants and variables with mathematical operators.
We have an equation:
2.3p – 10.1 = 6.5p – 4 – 0.01p
Combine like terms:
2.3p – 10.1 = 6.49p – 4
Or in the equation 2.3p – 10.1 = 6.5p – 4 – 0.01p mulitply by 100 on both sides.
We get:
230p – 1010 = 650p – 400 – p
Thus, equation 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p has the same soltion as the provided equation option second and third are correct.
Learn more about the expression here:
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Answer:
Correct answer: V = 55.36 cm³
Step-by-step explanation:
Given:
a = 4 cm edge of the bases
H = 8 cm the height of the prism
Area of the base is equilateral triangle which area is:
B = a² · √3 / 4 = 4² · 1.73 / 4 = 16 · 1.73 / 4 = 6.92 cm²
Volume of the prism is:
V = B · H = 6.92 · 8 = 55.36 cm³
V = 55.36 cm³
God is with you!!!
Density is calculated by mass divided by volume.
This would be 60/24 (60 grams mass divided by 24 cm^3 volume)
60/24 = 2.5
This means the answer is B. 2.5 g/cm^3
Y= -1.5see if you multiply the top equation by positive 3 and the bottom equation by positive 2 then you get 6x-15y=3 And the bottom would be -6x+4y=-18 so it would be -11y=-17 -17÷11= -1.5