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3 years ago

Please help, multiple choice

Mathematics

1 answer:

Misha Larkins [42]3 years ago

4 0

Answer:

$x=25$

Step-by-step explanation:

If the figures are similar, then the angles are the same. So that means that angle H is equal to angle D (you can count he little arcs in the angle to find it's matching partner). Since this is true:

$4x=100$

Which is the same as $D=H$ . Solve for x by dividing both sides by 4:

$\frac{4x}{4} =\frac{100}{4} \\\\x=25$

Finito.

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In his first 12 at bats during the baseball season, Jose had 4 hits. he maintained this hit throughout the entire season

kupik [55]

Answer:

195

Step-by-step explanation:

If we combine the data for the two seasons, then Derek Jeter had 12 + 183 = 195 total hits in 48 + 582 = 630 total at-bats. So his overall batting average

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2 years ago

A 96 foot tree casts a shadow that is 120 feet long. What is the angle of elevation of the sun? Round to the nearest degree.

zysi [14]

Answer:

$\alpha \approx 39^{\circ}$

Step-by-step explanation:

Let assume that tree grows perpendicular to surface. The statement is geometrically represented in the attachment included below, which resembles a right-angled triangle. Lastly, the angle of elevation of the sun is determined with the help of the following trigonometric relationship:

$\tan \alpha = \frac{96\,ft}{120\,ft}$

$\tan \alpha = \frac{4}{5}$

$\alpha = \tan^{-1}\left(\frac{4}{5} \right)$

$\alpha \approx 38.660^{\circ}$

$\alpha \approx 39^{\circ}$

4 0

3 years ago

Need help asap important! thanks so much!

a_sh-v [17]

Answer:

You would have $343.37 at the end of the 2 years.

Step-by-step explanation:

Interest earned is like bonus money the bank pays you just for keeping money

$\mathrm{Compund\:Interest\:Formula}:\quad A = P { \left( 1+ \dfrac{ r }{ n } \right) }^{ nt }$

P: the starting balance of the account (also called initial deposit, or principal)

A: the new balance in the account after N years.

t: the number of years or time

r: the interest rate, (in decimal form)

n: the number of times the interest is compounded each year.

Annually = each year = 1

P =$300, r = 7%, t = 2, n = 1, A = ?

Substitute the numbers into the "Compound Interest Formula".

$A = 300 { \left( 1+ \dfrac{ 0.07 }{ 1 } \right) }^{ 1 \times 2 }$

$\mathrm{Anything\:divided\:by\:1\:gives\:itself}$

$A = 300 { \left( 1+0.07 \right) }^{ 1 \times 2 }$

$\mathrm{Add\:1\:and\:0.07\:to\:get\:1.07}$

$A = 300 \times { 1.07 }^{ 1 \times 2 }$

$\mathrm{Multiply\:1\:and\:2\:to\:get\:2}$

$A = 300 \times { 1.07 }^{ 2 }$

$\mathrm{Calculate\:1.07\:to\:the\:power\:of\:2\:and\:get\:1.1449}$

$A = 300 \times 1.1449$

$\mathrm{Multiply\:300\:and\:1.1449\:to\:get\:343.47}$

$A = 343.47$

So you would have $343.37 at the end of the 2 years.

Look at the chart

$\mathrm{Year}\quad \mathrm{Year\: Interest}\quad \mathrm{Total\:Interest}\quad \mathrm{Balance}\\\quad1\quad\quad\quad $21.00\quad\quad\quad\quad $21.00\quad\quad\quad\quad $321.00\\\quad2\quad\quad\quad $22.47\quad\quad\quad\quad $43.47\quad\quad\quad\quad $343.47$

8 0

2 years ago

HELP PLEASE!!

Harman [31]

Answer: $\text{quadrilateral FSHB}\sim\text{quadrilateral KTWJ }$

Step-by-step explanation:

To polygons are said to be similar if all the corresponding angles of given polygons are equal.

In the given figure, it can be seen that in quadrilateral FSHB and quadrilateral KTWJ all the corresponding angles are equal.

∠F=∠K

∠S=∠T

∠H=∠W

∠B=∠J

Therefore, The given polygons are similar.

Hence, $\text{quadrilateral FSHB}\sim\text{quadrilateral KTWJ }$

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3 years ago

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ikadub [295]

The complete question in the attached figure

we know that
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so

the answer is the option
</span><span>A. the remote interior angles</span>

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3 years ago

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