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3 years ago

In the figure, the measure of angle 6 6 is 141° 141 ° . What is the measure of angle 5 5 ?

Mathematics

1 answer:

dedylja [7]3 years ago

8 0

Answer:

131° 131°=5 5 is the measure for 5 5

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Question 2b only! Evaluate using the definition of the definite integral(that means using the limit of a Riemann sum

lara [203]

Answer:

Hello,

Step-by-step explanation:

We divide the interval [a b] in n equal parts.

$\Delta x=\dfrac{b-a}{n} \\\\x_i=a+\Delta x *i \ for\ i=1\ to\ n\\\\y_i=x_i^2=(a+\Delta x *i)^2=a^2+(\Delta x *i)^2+2*a*\Delta x *i\\\\\\Area\ of\ i^{th} \ rectangle=R(x_i)=\Delta x * y_i\\$

$\displaystyle \sum_{i=1}^{n} R(x_i)=\dfrac{b-a}{n}*\sum_{i=1}^{n}\ (a^2 +(\dfrac{b-a}{n})^2*i^2+2*a*\dfrac{b-a}{n}*i)\\$

$=(b-a)^2*a^2+(\dfrac{b-a}{n})^3*\dfrac{n(n+1)(2n+1)}{6} +2*a*(\dfrac{b-a}{n})^2*\dfrac{n (n+1)} {2} \\\\\displaystyle \int\limits^a_b {x^2} \, dx = \lim_{n \to \infty} \sum_{i=1}^{n} R(x_i)\\\\=(b-a)*a^2+\dfrac{(b-a)^3 }{3} +a(b-a)^2\\\\=a^2b-a^3+\dfrac{1}{3} (b^3-3ab^2+3a^2b-a^3)+a^3+ab^2-2a^2b\\\\=\dfrac{b^3}{3}-ab^2+ab^2+a^2b+a^2b-2a^2b-\dfrac{a^3}{3} \\\\\\\boxed{\int\limits^a_b {x^2} \, dx =\dfrac{b^3}{3} -\dfrac{a^3}{3}}\\$

4 0

2 years ago

Is h(x)=6 a linear equation, explain

puteri [66]

A linear equation is an equation for a straight line. And yes that is a linear equation. Because it is of the form h(x) = mx + b where m=0 and b = 23 h(x) = mx + 23

8 0

3 years ago

will give brainlyest For the expression y + 6 − 3, determine the coefficient for the variable term. (2 points) 0 1 3 6

Bezzdna [24]

Answer:

6-3= 3 so 3*Y= answer

Step-by-step explanation:

7 0

3 years ago

A А С B. ZABC is bisected by BD. If m DBC = 65°, then m ZABC = [?]° Enter

andrew11 [14]

Answer:

m∠ABC = 130°

Step-by-step explanation:

BD is the angle bisector of angle ABC .

Therefore, ∠ABD ≅ ∠DBC

Measure of angle DBC = 65°

Therefore, m∠ABD = m∠DBC = 65°

m∠ABC = m∠ABD + m∠DBC

= 65° + 65°

= 130°

4 0

2 years ago

Ramona deposits $2,500 into a savings account that pays 4.5% interest compounded annually. If Ramona makes no deposits or withdr

kicyunya [14]

Answer: She will earn $352.92 as interest.

Step-by-step explanation:

Formula for compound interest $= P((1+r)^t-1)$

, where P= principal value, r = rate of interest(in decimal) , t= time

As per given , we have

P = $2,500

r = 4.5% = 0.045

t= 3 years

then, Compound interest = $2500((1+0.045)^3-1)=2500((1.045)^3-1)$

$=2500(1.141166125-1)=2500(0.141166125)\\\\\approx\ \$352.92$

Hence, she will earn $352.92 as interest.

5 0

3 years ago