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3 years ago

In ΔSTU, m∠S=(11x+3)∘,∠T=(2x+16)∘, and m∠U=(x+7)∘. Find .

Mathematics

1 answer:

frozen [14]3 years ago

6 0

Answer:

x = 11

Step-by-step explanation:

In ΔSTU ,

m∠S = (11x+3)° ; m∠T = (2x+16)° ; m∠U = (x+7)°

According to angle sum property of a triangle , sum of all the interior angles of the triangle is 180°.

So,

$11x + 3 + 2x + 16 + x + 7 = 180$

$= > 14x + 26 = 180$

$= > 14x = 180 - 26 = 154$

$= > x = \frac{154}{14} = 11$

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4. Evaluate -8÷2+12×9-4x6\ 56÷7x2

olchik [2.2K]

Answer:

Step-by-step explanation:

In Questions that involve multiple mathematical operations, we use the BODMAS or PEMDAS.

BODMAS is an acronym and it represents; Bracket, Order, Division, Multiplication, Addition, and Subtraction.

PEMDAS is also an acronym that means the same thing with BODMAS, it represents; Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction

We solve using the order present in BODMAS

-8 ÷ 2 + 12 × 9 - 4 x 6 \ 56 ÷ 7 x 2

Solving all Multiplication, we have;

-8 ÷ 2 + 12 × 9 - 4 x 6 \ 56 ÷ 7 x 2

-8 ÷ 2 + 108 - 24 \ 56 ÷ 14

Solving all Division, we have;

-8 ÷ 2 + 108 - 24 \ 56 ÷ 14

-4 + 108 - 24 \ 4

-4 + 108 - 6

Solving all Addition, we have;

-4 + 108 - 6

104 - 6 = 98

4 0

3 years ago

PLEASE HELP ME ASAP!!!!

antoniya [11.8K]

Answer:

i got -380

Step-by-step explanation:

sorry if not helpful

6 0

3 years ago

The concentration, in parts per million, of a type of antibiotic in a human's bloodstream after h hours can be modeled by the po

saveliy_v [14]

Answer:

$C(3)=17.69\ ppm$

Step-by-step explanation:

Given:

Given polynomial function is.

$C(h)=-0.09h^{2} +3.5h+8$

Hours $h=3$

We need to find the concentration of the antibiotic after 3 hours.

Solution:

Rewrite the given polynomial function as.

$C(h)=-0.09h^{2} +3.5h+8$

Substitute $h=3$ in given polynomial function.

$C(3)=-0.09(3)^{2} +3.5\times 3+8$

$C(3)=-0.09\times 9+10.5+8$

$C(3)=-0.81+10.5+8$

$C(3)=-0.81+18.5$

$C(3)=17.69\ ppm$

Therefore, the concentration of the antibiotic after 3 hours $C(3)=17.69\ ppm$ .

8 0

4 years ago

Evaluate using order of operation and please show work

Kamila [148]

Answer:

Step-by-step explanation:

Given expression:

20 - $\frac{15 + 3(5)^{2} }{5^{2} - 4^{2} }$

To solve this problem, we use the order of operation:

P - Parentheses

E - exponents

M - multiplication

D - division

A - Addition

S - Subtraction

Now solve the parentheses first;

= 20 - $\frac{15 + 3x 25}{5^{2} - 4^{2} }$

= 20 - $\frac{15 + 75}{5^{2} - 4^{2} }$

Now solve the exponents:

= 20 - $\frac{15 + 75}{25 - 16}$

Now solve the division:

= 20 - $\frac{90}{9}$

= 20 - 10

= 10

3 0

4 years ago

2+2×0= 2 Looking to verify this prob. I say its 2 2×0 is 0+2= 2 Correct

vlada-n [284]

PEMDAS :)
yes, you're correct.

4 0

3 years ago

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