All categories

2 years ago

I need help with this geometry question!

Mathematics

2 answers:

nika2105 [10]2 years ago

6 0

Answer:

MA=14

Step-by-step explanation:

a rhombus has 4 equal sides so:

y+10=5y-6

subtract y from both sides

10=4y-6

add 6 to each side

16=4y

divide each side by 4

y=4

MA=y+10 because rhombus

MA=4+10

MA=14

maria [59]2 years ago

5 0

Answer:

because MATH is a rhombus

=> MA = MH = HT = AT

=> y + 10 = 5y - 6

⇔ 4y = 16

⇔ y = 4

with y = 4 => MH = 4 + 10 = 14

but MH = MA

=> MA = 14

Step-by-step explanation:

You might be interested in

What is mine times nine

statuscvo [17]

If you are meaning Nine times Nine the answer is 81.

8 0

2 years ago

5. Consider the system of equation:

liubo4ka [24]

Answer: A

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Simplify x + 4 - 5x - 2.

Ilia_Sergeevich [38]

X+2-5x is the answer

8 0

2 years ago

Calculus 2

FinnZ [79.3K]

Answer:

See Below.

Step-by-step explanation:

We want to estimate the definite integral:

$\displaystyle \int_1^47\sqrt{\ln(x)}\, dx$

Using the Trapezoidal Rule, Midpoint Rule, and Simpson's Rule with six equal subdivisions.

The trapezoidal rule is given by:

$\displaystyle \int_{a}^bf(x)\, dx\approx\frac{\Delta x}{2}\Big(f(x_0)+2f(x_1)+...+2f(x_{n-1})+f(x_n)\Big)$

Our limits of integration are from x = 1 to x = 4. With six equal subdivisions, each subdivision will measure:

$\displaystyle \Delta x=\frac{4-1}{6}=\frac{1}{2}$

Therefore, the trapezoidal approximation is:

$\displaystyle =\frac{1/2}{2}\Big(f(1)+2f(1.5)+2f(2)+2f(2.5)+2f(3)+2f(3.5)+2f(4)\Big)$

Evaluate:

$\displaystyle =\frac{1}{4}(7)(\sqrt{\ln(1)}+2\sqrt{\ln(1.5)}+...+2\sqrt{\ln(3.5)}+\sqrt{\ln(4)})\\\\\approx18.139337$

The midpoint rule is given by:

$\displaystyle \int_a^bf(x)\, dx\approx\sum_{i=1}^nf\Big(\frac{x_{i-1}+x_i}{2}\Big)\Delta x$

Thus:

$\displaystyle =\frac{1}{2}\Big(f\Big(\frac{1+1.5}{2}\Big)+f\Big(\frac{1.5+2}{2}\Big)+...+f\Big(\frac{3+3.5}{2}\Big)+f\Big(\frac{3.5+4}{2}\Big)\Big)$

Simplify:

$\displaystyle =\frac{1}{2}(7)\Big(f(1.25)+f(1.75)+...+f(3.25)+f(3.75)\Big)\\\\ =\frac{1}{2}(7) (\sqrt{\ln(1.25)}+\sqrt{\ln(1.75)}+...+\sqrt{\ln(3.25)}+\sqrt{\ln(3.75)})\\\\\approx 18.767319$

Simpson's Rule is given by:

$\displaystyle \int_a^b f(x)\, dx\approx\frac{\Delta x}{3}\Big(f(x_0)+4f(x_1)+2f(x_2)+4f(x_3)+...+4f(x_{n-1})+f(x_n)\Big)$

So:

$\displaystyle =\frac{1/2}{3}\Big((f(1)+4f(1.5)+2f(2)+4f(2.5)+...+4f(3.5)+f(4)\Big)$

Simplify:

$\displaystyle =\frac{1}{6}(7)(\sqrt{\ln(1)}+4\sqrt{\ln(1.5)}+2\sqrt{\ln(2)}+4\sqrt{\ln(2.5)}+...+4\sqrt{\ln(3.5)}+\sqrt{\ln(4)})\\\\\approx 18.423834$

6 0

2 years ago

During elementary school, Luke received a weekly allowance of $16 for completing all of his chores. These days he receives 25% m

elena-s [515]

Answer:

now he makes $20

Step-by-step explanation:

16 times .25 is 4. 4 +16 is $20 hope this helps

4 0

3 years ago