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2 years ago

Find the missing side lengths. Leave your answer as radicals in simplest form.

Mathematics

2 answers:

Airida [17]2 years ago

6 0

Answer:

a = 9√2 and b = 9

Step-by-step explanation:

→ To find a, use the CAH triangle

9 ÷ cos (45) = 9√2

→ To find b, use the TOA

Tan (45) × 9 = 9

kirill [66]2 years ago

3 0

Answer:

Solution given:

b=9 base side of isosceles triangle

a= $\sqrt{9²+9²}=9\sqrt{2}$

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(5x4 + 5x3 + 4x - 9) + (2x4 + 7x2 + 2x + 14)

ladessa [460]

Answer:

7x⁴ + 5x³ + 7x² + 6x + 5

Step-by-step explanation:

The given expression is

(5x4 + 5x3 + 4x - 9) + (2x4 + 7x2 + 2x + 14)

The first step is to open the brackets by multiplying each term inside each bracket by the term outside each bracket. Since the term outside each bracket is 1, the expression becomes

5x⁴ + 5x³ + 4x - 9 + 2x⁴ + 7x² + 2x + 14

We would collect like terms by combining each term with the same exponent or raised to the same power. The term would be arranged in decreasing order of the exponents. It becomes

5x⁴ + 2x⁴ + 5x³ + 7x² + 4x + 2x - 9 + 14

7x⁴ + 5x³ + 7x² + 6x + 5

7 0

3 years ago

A collection of half dollars and nickles is worth $13.40. there are 34 coins in all.

pochemuha

There are 8 nickels and 26 half dollars.
26/2=13
8*5= 40

3 0

2 years ago

ABCD is a parallelogram. If m/CDA = 63, then m/ABC = ? . The diagram is not to scale

nikdorinn [45]

it’s 63 because the sides are equal on both sides

7 0

2 years ago

A road sign gives drivers information about traffic on busy highways. One sign shows 15 miles in 20 minutes. What is this speed

SIZIF [17.4K]

Answer: Speed in miles per hour is 45 mph.

Step-by-step explanation:

Since we have given that

Distance covered = 15 miles

Time taken to cover the above mentioned distance = 20 minutes

We need to calculate the speed in miles per hour ,

As we know the formula for " Speed " i.e.

$Speed=\frac{Distance}{Time}$

Now, we will put the value of distance and time in the above formula:

$Speed=\frac{15}{20}\times 60\\\\Speed=15\times 3\\\\Speed=45\ mph$

Hence, Speed in miles per hour is 45 mph.

8 0

3 years ago

Read 2 more answers

solve systems of equation. equation number 1: 9 x squared + 4 y squared equals 144. equation 2: x squared plus y squared equals

grigory [225]

$9x^{2} + 4y^{2} =144$
$x^{2} + y^{2}=24$

$9x^{2} + 4y^{2} =144$
$4x^{2} + 4y^{2}=96$
by the difference
5 $x^{2}$ =48
so x= $\sqrt{\frac{48}{5}}$ or x=- $\sqrt{\frac{48}{5}}$
and $y^{2}$ =24- $\frac{48}{5}$
then y= $\sqrt{\frac{72}{5}}$ or - $\sqrt{\frac{48}{5}}$

5 0

3 years ago